A simple observer for nonlinear systems applications to bioreactors
From MaRDI portal
Publication:3994116
DOI10.1109/9.256352zbMath0775.93020OpenAlexW2115852080WikidataQ56484067 ScholiaQ56484067MaRDI QIDQ3994116
No author found.
Publication date: 13 August 1992
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/9.256352
Related Items
Global complete observability and output-to-state stability imply the existence of a globally convergent observer ⋮ Constant-gain observer for a class of multi-output nonlinear systems ⋮ Algebraic criteria of global observability of polynomial systems ⋮ How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems ⋮ Robust high-gain observers based liquid levels and leakage flow rate estimation ⋮ A new fault isolation and identification method for nonlinear dynamic systems: application to a fermentation process ⋮ A hybrid scheme for reducing peaking in high-gain observers for a class of nonlinear systems ⋮ Super-twisting algorithm-based sliding-mode observer for synchronization of nonlinear incommensurate fractional-order chaotic systems subject to unknown inputs ⋮ Enlarging the basin of attraction by a uniting output feedback controller ⋮ Observer design based on immersion technics and canonical form ⋮ Observer normal forms for a class of predator-prey models ⋮ Simultaneous observation and identification for nonlinear systems under unknown time-varying delays ⋮ State estimation for MISO non-linear systems in controller canonical form ⋮ Synthesis of state unknown inputs observers for nonlinear Lipschitz systems with uncertain disturbances ⋮ Distributed finite-time state estimation of interconnected complex metabolic networks ⋮ On semi-global stabilizability of MIMO nonlinear systems by output feedback ⋮ Semi-global stabilization by an output feedback law from a hybrid state controller ⋮ Global practical tracking of a class of nonlinear systems by output feedback ⋮ Supersymmetric free-damped oscillators: adaptive observer estimation of the Riccati parameter ⋮ Dissipative observers for discrete-time nonlinear systems ⋮ Observer design for some classes of uniformly observable nonlinear hybrid systems ⋮ A new reduced-order observer normal form for nonlinear discrete time systems ⋮ Robust design of nonlinear internal models without adaptation ⋮ General observers for discrete-time nonlinear systems ⋮ General observers for nonlinear systems ⋮ Universal adaptive control of nonlinear systems with unknown growth rate by output feedback ⋮ Nonlinear observer design by approximate error linearization ⋮ Simple nonlinear observers for on-line estimation of kinetic rates in bioreactors ⋮ Extended high gain observer design for a class of MIMO non-uniformly observable systems ⋮ Global exponential sampled-data observers for nonlinear systems with delayed measurements ⋮ On the triangular canonical form for uniformly observable controlled systems ⋮ Circle criterion-based \(\mathcal{H}_\infty\) observer design for Lipschitz and monotonic nonlinear systems -- enhanced LMI conditions and constructive discussions ⋮ Nonlinear approximate observers for feedback control ⋮ Control strategy for state and input observer design ⋮ Uniform observability analysis for structured bilinear systems. A graph-theoretic approach ⋮ Sufficient conditions on the existence of switching observers for nonlinear time-varying systems ⋮ High-gain observers for nonlinear systems with trajectories close to unobservability ⋮ Robust nonlinear observer for systems with generalized sector nonlinearity and time-varying delay ⋮ Sliding mode high-gain observers for a class of uncertain nonlinear systems ⋮ Observer design for a class of uncertain nonlinear systems with sampled outputs -- application to the estimation of kinetic rates in bioreactors ⋮ Design of continuous-discrete observers for time-varying nonlinear systems ⋮ An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems ⋮ Nonlinear observer design via passivation of error dynamics. ⋮ An observer for systems with nonlinear output map. ⋮ A linear feedback synchronization theorem for a class of chaotic systems ⋮ A high gain observer with updated gain for a class of MIMO non-triangular systems ⋮ Observer design for a class of nonlinear ODE-PDE cascade systems ⋮ High gain observer for a class of non-triangular systems ⋮ Observer design for a class of nonlinear piecewise systems. Application to an epidemic model with treatment ⋮ On emulated nonlinear reduced-order observers for networked control systems ⋮ Design of state detectors for nonlinear systems using symmetries and semi-invariants ⋮ Adaptive impulsive observers for nonlinear systems: revisited ⋮ Observer design for a schistosomiasis model ⋮ Exponential nonlinear observer for parametric identification and synchronization of chaotic systems ⋮ Self-triggered continuous-discrete observer with updated sampling period ⋮ Design of interval observer for a class of uncertain unobservable nonlinear systems ⋮ Relaxing the conditions for parameter estimation-based observers of nonlinear systems via signal injection ⋮ Design of a unified adaptive fuzzy observer for uncertain nonlinear systems ⋮ Exponential stabilization of a class of nonlinear systems: a generalized Gronwall-Bellman lemma approach ⋮ Observers for interconnected nonlinear and linear systems ⋮ Observer-based sliding mode synchronization for a class of fractional-order chaotic neural networks ⋮ Nonlinear observer-based control with application to an anaerobic digestion process ⋮ Estimation of states and parameters for linear systems with nonlinearly parameterized perturbations ⋮ Observer-based consensus for second-order multi-agent systems with arbitrary asynchronous and aperiodic sampling periods ⋮ Design of nonlinear selectively invariant systems based on the controllable Jordan form ⋮ Observer design for a class of MIMO nonlinear systems. ⋮ Multimodel representation of complex nonlinear systems: a multifaceted approach for real-time application ⋮ Discontinuous high-gain observer in a robust control UAV quadrotor: real-time application for watershed monitoring ⋮ Consensus of nonlinear multi-agent systems with observer-based protocols ⋮ Linear time-derivative trackers. ⋮ An invariant observer for a chemostat model ⋮ Time scaling for observer design with linearizable error dynamics. ⋮ Analysis of sampled-data high-gain observers in the presence of measurement noise ⋮ An observer for mass-action chemical reaction networks ⋮ Design of a continuous-discrete observer for state affine systems ⋮ Adaptive observers for a class of uniformly observable systems with nonlinear parametrization and sampled outputs ⋮ Small oscillation fault detection for a class of nonlinear systems with output measurements using deterministic learning ⋮ State estimators for some epidemiological systems ⋮ On observer for a class of uncertain nonlinear systems ⋮ On uniform observation of nonuniformly observable systems ⋮ A theorem on global stabilization of nonlinear systems by linear feedback ⋮ Nonlinear estimation in a class of gene transcription process ⋮ High gain estimation for nonlinear systems ⋮ Output feedback stabilization of the Korteweg-de Vries equation ⋮ Dissipative approach to sliding mode observers design for uncertain mechanical systems ⋮ A remark on Lagrange stability of nonlinear systems stabilization ⋮ Time-varying observers for a class of nonlinear systems ⋮ Optimal control of a multi-level dynamic model for biofuel production ⋮ An observation algorithm for nonlinear systems with unknown inputs ⋮ An exponential polynomial observer for synchronization of chaotic systems ⋮ High gain observers with updated gain and homogeneous correction termsstar, open ⋮ Observer design using a generalized time-scaled block triangular observer form ⋮ A unified \(\mathcal H_\infty\) adaptive observer synthesis method for a class of systems with both Lipschitz and monotone nonlinearities ⋮ Peaking free variable structure control of uncertain linear systems based on a high-gain observer ⋮ Nonlinear observer design using Lyapunov's auxiliary theorem ⋮ Adaptive observers for nonlinearly parameterized class of nonlinear systems ⋮ Adaptive observers for time-delay nonlinear systems in triangular form ⋮ High order sliding-mode dynamic control for chaotic intracellular calcium oscillations ⋮ Local observer design for nonlinear systems ⋮ Using exponential time-varying gains for sampled-data stabilization and estimation ⋮ Control of systems with sector-bounded nonlinearities: robust stability and command effort minimization by disturbance rejection ⋮ Non-linear observer based on the Euler discretization ⋮ Optimal input design for parameter estimation of nonlinear systems: case study of an unstable delta wing ⋮ Nonlinear observers for Lipschitz continuous systems with inputs ⋮ High-gain interval observer for continuous–discrete-time systems using an LMI design approach ⋮ High gain observer based on a triangular structure ⋮ Active disturbance rejection control approach to stabilization of lower triangular systems with uncertainty ⋮ Optimal Synchronization of a Memristive Chaotic Circuit ⋮ Higher order sliding-mode observers with scaled dissipative stabilisers ⋮ Finite-time state observation for non-linear uncertain systems via higher-order sliding modes ⋮ Expressing an Observer in Preferred Coordinates by Transforming an Injective Immersion into a Surjective Diffeomorphism ⋮ A state estimation strategy for a nonlinear switched system with unknown switching signals ⋮ On the state estimation for nonlinear continuous-time fuzzy systems ⋮ Observer design estimating the propofol concentration in PKPD model with feedback control of anesthesia administration ⋮ Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems ⋮ A combined observer and filter based approach for the determination of unknown parameters ⋮ Trajectory tracking in nonlinear systems via nonlinear reduced-order observers ⋮ Global dynamic output feedback stabilization for a class of high‐order nonlinear systems ⋮ Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller ⋮ How to minimally modify a dynamical system when constructing flat inputs? ⋮ Robust impulsive observer design for infinite‐dimensional cell population balance models ⋮ Outlier‐robust set‐membership estimation for discrete‐time linear systems ⋮ Design of an event-triggered joint adaptive high-gain observer for a class of nonlinear system with unknown states and parameters ⋮ Continuous-discrete time observers for homogeneous nonlinear systems with sampled-data outputs ⋮ Design of switched high-gain observer for nonlinear systems ⋮ Flight data validation of an icing accretion estimation scheme using super-twisting observers ⋮ A Luenberger-like observer for nonlinear systems ⋮ Design of a joint adaptive high‐gain observer for a class of nonlinear sampled‐output system with unknown states and parameters ⋮ Analysis, state estimation and control of a malaria transmission model with semi-immune compartment for humans ⋮ Observer-Based Tracking Control Design for a Class of Nonlinear Discrete-Time Systems ⋮ Global Stability for a Delay SIR Epidemic Model with General Incidence Function, Observers Design ⋮ Neural network based adaptive finite-time distributed estimation for an uncertain leader ⋮ Adaptive Observer for Simultaneous State and Parameter Estimations for an Output Depending Normal Form ⋮ Nonlinear Observer Design for Chaotic Systems ⋮ Nonlinear Observer Design for Population Biology Systems ⋮ General Observer Design for Continuous-Time and Discrete-Time Nonlinear Systems ⋮ Nonlinear Sliding Mode Observer for Tire Pressure Monitoring ⋮ High-gain extended Kalman filter for continuous-discrete systems with asynchronous measurements ⋮ Flat Inputs: Theory and Applications ⋮ A block triangular observer form for non-linear observer design ⋮ Observability through delayed measurements: a new approach to state observers design ⋮ High-gain observer for a class of time-delay nonlinear systems ⋮ Filtering for a class of nonlinear MIMO uncertain time-delay stochastic systems ⋮ Observer design for nonlinear discrete-time systems: Immersion and dynamic observer error linearization techniques ⋮ Fractional fault-tolerant dynamical controller for a class of commensurate-order fractional systems ⋮ Lyapunov-based design of resilient mixed MSE-dissipative-type state observers for a class of nonlinear systems and general performance criteria ⋮ Unnamed Item ⋮ Interval observer design based on nonlinear hybridization and practical stability analysis ⋮ Handling of nonlinear systems using filtered high‐gain output feedback controller ⋮ A SEPARATION PRINCIPLE FOR THE STABILISATION OF A CLASS OF FRACTIONAL ORDER TIME DELAY NONLINEAR SYSTEMS ⋮ High gain observer with updated gain for a class of MIMO nonlinear systems ⋮ A state observer for nonlinear dynamical systems ⋮ Peaking free output‐feedback exact tracking of uncertain nonlinear systems via dwell‐time and norm observers ⋮ PARTIAL OBSERVERS AND PARTIAL SYNCHRONIZATION ⋮ High‐gain observers in nonlinear feedback control ⋮ High‐gain observer design for multi‐output systems: Transformation to a canonical form by dynamic output shaping ⋮ Hybrid‐type observer design based on a sufficient condition for observability in switched nonlinear systems ⋮ High‐gain observers for leak location in subterranean pipelines of liquefied petroleum gas ⋮ Design of observers for nonlinear systems with H ∞ performance analysis ⋮ Global convergence of a control system by means of an observer ⋮ Dynamic gain observer design for Lipschitz nonlinear systems subjected to noise ⋮ Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems ⋮ Output feedback stabilization of bilinear systems using dead-beat observers ⋮ Constructive nonlinear control: a historical perspective ⋮ High‐gain observer with higher order sliding mode for state and unknown disturbance estimations ⋮ A dynamical control view on synchronization ⋮ Stabilization of a class of nonlinear stochastic systems ⋮ On-line state estimation of bioprocesses with full horizon observers ⋮ Discrete-time nonlinear observer design using functional equations ⋮ Semi-global observer for multi-output nonlinear systems ⋮ Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs ⋮ Nonlinear observers: A circle criterion design and robustness analysis ⋮ Approximate high-gain observers for non-Lipschitz observability forms ⋮ Nonlinear observers for locally uniformly observable systems ⋮ On determining unknown functions in differential systems, with an application to biological reactors. ⋮ An Overview on Observer Tools for Nonlinear Systems ⋮ Adaptive-Gain Observers and Applications ⋮ Immersion-Based Observer Design ⋮ Nonlinear Moving Horizon Observers: Theory and Real-Time Implementation ⋮ On nonlinear detectability ⋮ Nonlinear estimators: A differential algebraic approach ⋮ Moderate Gain Luenberger-Like Observer for Lipschitz Nonlinear Dynamics ⋮ A high-gain-based global finite-time nonlinear observer ⋮ ADAPTIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS VIA STATE OR OUTPUT FEEDBACK CONTROL ⋮ Dissipative design of unknown input observers for systems with sector nonlinearities ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonlinear sliding mode high-gain observers for fault estimation ⋮ Magnetic sensor-based simultaneous state and parameter estimation using a nonlinear observer ⋮ Observer-based fault-tolerant control for a class of nonlinear networked control systems ⋮ On observer design for nonlinear systems ⋮ Unnamed Item ⋮ Contributions to the Problem of High-Gain Observer Design for Hyperbolic Systems ⋮ State observation of unknown nonlinear SISO systems based on virtual input estimation ⋮ Observers and Observability—Theory and Literature Overview ⋮ High gain observer for a class of nonlinear systems with coupled structure and sampled output measurements: application to a quadrotor ⋮ Cascade high-gain observers for a class of nonlinear systems with large delayed measurements ⋮ Observers for Lipschitz non-linear systems ⋮ Observer design for non-linear systems that are not uniformly observable ⋮ An observer design for Takagi-Sugeno fuzzy bilinear control systems ⋮ Finite‐time estimation of second‐order linear time‐invariant systems in the presence of delayed measurement ⋮ Bi‐homogeneous observers for uncertain 1‐DOF mechanical systems ⋮ A quasicontinuous multivariable super‐twisting observer for 2n states systems with Lipschitz nonlinearities ⋮ Nonfragile high‐gain observers for nonlinear systems with output uncertainty ⋮ Observability for systems with more outputs than inputs and asymptotic observers ⋮ Stabilization of planar bilinear systems using an observer configuration ⋮ A global stabilization of a class of nonlinear systems by means of an observer ⋮ Observers for discrete-time nonlinear systems ⋮ Nonlinear system fault diagnosis based on adaptive estimation ⋮ Reduced order observer design for nonlinear systems ⋮ Reduced order observer design for discrete-time nonlinear systems ⋮ Unnamed Item ⋮ A dynamical controller with fault-tolerance: real-time experiments ⋮ Addressing the relative degree restriction in nonlinear adaptive observers: a high-gain observer approach ⋮ High-gain observers with limited gain power for systems with observability canonical form ⋮ Continuous observer design for a class of multi-output nonlinear systems with multi-rate sampled and delayed output measurements ⋮ Existence of an observation window of finite width for continuous-time autonomous nonlinear systems ⋮ On the stabilization of controllable and observable systems by an output feedback law ⋮ Multiple sliding mode observers and unknown input estimations for Lipschitz nonlinear systems ⋮ Generalized conformable operators: application to the design of nonlinear observers ⋮ An observer for infinite-dimensional dissipative bilinear systems ⋮ Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order ⋮ Nonlinear observer design for state and disturbance estimation ⋮ Discrete-time nonlinear observer design with general criteria ⋮ Stability of polymerization reactors using I/O linearization and a high- gain observer ⋮ Nonlinear observer design for a general class of discrete-time nonlinear systems with real parametric uncertainty ⋮ Nonlinear observer design for a general class of nonlinear systems with real parametric uncertainty ⋮ Adaptive regulation of uncertain nonlinear systems by output feedback: A universal control approach ⋮ Two families of semiglobal state observers for analytic discrete-time systems ⋮ Stability and estimation problems related to a stage-structured epidemic model ⋮ A dual-observer design for global output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities ⋮ Semi-global finite-time observers for multi-output nonlinear systems ⋮ Observability of smooth control systems ⋮ Preserving order observers for nonlinear systems ⋮ Semi-global stabilization of nonlinear systems by nonsmooth output feedback ⋮ On multi-valued observers for a class of single-valued systems ⋮ Observers for a non-Lipschitz triangular form ⋮ Fixed-time observer with simple gains for uncertain systems ⋮ Distributed moving horizon state estimation of two-time-scale nonlinear systems ⋮ Finite-time impulsive observers for nonlinear systems represented by Takagi-Sugeno models: application to a chaotic system ⋮ High-gain observer with sliding mode for nonlinear state estimation and fault reconstruction ⋮ Output feedback control of a flexible marine riser with the top tension constraint ⋮ Dissipative state observer design for nonlinear time-delay systems ⋮ State estimation in batch processes using a nonlinear observer ⋮ On practical observers for nonlinear uncertain systems ⋮ A nonlinear observer for bilinear systems in block form ⋮ Robust observer design for discrete-time locally one-sided Lipschitz systems ⋮ A way to model stochastic perturbations in population dynamics models with bounded realizations ⋮ A high-gain observer with Mittag-Leffler rate of convergence for a class of nonlinear fractional-order systems ⋮ An observer for a class of nonlinear systems with multiple state and measurement delays: a differential geometry-based approach ⋮ Asymptotic output tracking of a class of nonlinear systems by means of an observer ⋮ Variable structure robust state and parameter estimator ⋮ Finite singularities of nonlinear systems. Output stabilization, observability, and observers ⋮ Robust adaptive high order sliding-mode optimum controller for sensorless interior permanent magnet synchronous motors ⋮ Separation results for the stabilization of nonlinear systems using different high-gain observer designs ⋮ Observer design of descriptor nonlinear system with nonlinear outputs by using \(\mathcal{W}^{1,2}\)-optimality criterion ⋮ Robust stabilization of linear plants in the presence of disturbances and high-frequency measurement noise ⋮ Observers for a class of Lipschitz systems with extension to \(H_{\infty }\) performance analysis ⋮ Observers design for a class of nonlinear stochastic discrete-time systems ⋮ Adaptive non-linear high gain observer based sensorless speed estimation of an induction motor ⋮ Global state feedback stabilization of high-order nonlinear systems with multiple time-varying delays ⋮ Interval observers for biochemical processes with uncertain kinetics and inputs ⋮ Observers for systems with nonlinearities satisfying incremental quadratic constraints ⋮ Nonlinear observer design in the presence of delayed output measurements ⋮ Observer-based anti-windup compensator design for nonlinear systems ⋮ On the stability of a differential Riccati equation for continuous-discrete observers ⋮ Global adaptive output stabilization of uncertain nonlinear systems with polynomial output depending growth rate ⋮ A dual-observer approach for global output feedback stabilization of planar nonlinear systems with output-dependent growth rates ⋮ A symbolic algorithm to compute immersions of polynomial systems into linear ones up to an output injection ⋮ Global output feedback stabilisation of high-order nonlinear systems with low-order and high-order nonlinearities ⋮ Observer design for continuous-discrete time state affine systems up to output injection ⋮ A global approach to design control laws for applications in the car industry ⋮ Continuous-discrete observers for global stabilization of nonlinear systems with applications to bioreactors ⋮ Hybrid implementation of observers in plant's coordinates with a finite number of approximate inversions and global convergence ⋮ Optimizing Kalman optimal observer for state affine systems by input selection ⋮ Semi-global finite-time observers for nonlinear systems ⋮ Nonuniform in time state estimation of dynamic systems ⋮ Sliding mode control of a class of nonlinear systems ⋮ A multiplicative coordinated stealthy attack for nonlinear cyber-physical systems with homogeneous property ⋮ PI observer design for a class of nondifferentially flat systems ⋮ An observer for a class of disturbance driven nonlinear systems ⋮ A simple observer for a class of nonlinear systems ⋮ High-gain observation with disturbance attenuation and application to robust fault detection. ⋮ Robust adaptive tracking of uncertain nonlinear systems by output feedback ⋮ Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements ⋮ Observability Under Sampling for Nonlinear Systems ⋮ A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model ⋮ State and parameter estimation for a class of schistosomiasis models ⋮ Observers for a multi-input multi-output bilinear system class: A differential algebraic approach ⋮ Observer based leader-following consensus of second-order multi-agent systems with nonuniform sampled position data ⋮ A note on the robustness of high-gain-observer-based controllers to unmodeled actuator and sensor dynamics ⋮ Finite time estimation for time-varying systems with delay in the measurements ⋮ Event-triggered interval-based state estimator for continuous-time linear systems ⋮ Robust state observer and control design using command-to-state mapping ⋮ Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer ⋮ Global control of nonlinear systems with uncertain output function using homogeneous domination approach ⋮ Residual generation for fault detection and isolation in a class of uncertain nonlinear systems ⋮ Local observer for infinitesimally observable nonlinear systems ⋮ Observer design for nonlinear triangular systems with unobservable linearisation ⋮ A high-gain-based global finite-time nonlinear observer ⋮ State estimation for a class of nonlinear systems ⋮ Failure diagnosis and nonlinear observer. Application to a hydraulic process ⋮ Generalized homogeneous systems with applications to nonlinear control: a survey ⋮ Trajectory tracking control using velocity observer and disturbances observer for uncertain robot manipulators without tachometers