Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
From MaRDI portal
Publication:5941462
DOI10.1016/S0167-6911(01)00118-9zbMath0978.93070WikidataQ127012594 ScholiaQ127012594MaRDI QIDQ5941462
Jacques Bernussou, Jamal Daafouz
Publication date: 20 August 2001
Published in: Systems \& Control Letters (Search for Journal in Brave)
stabilitylinear matrix inequalitiesdiscrete-time systemspolytopic uncertaintytime-varying parametersparameter dependent Lyapunov functionsquadratic Lyapunov functions
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (only showing first 100 items - show all)
Robust static output feedback control for hidden Markov jump linear systems ⋮ Discrete-time ℋ2 and ℋ∞ poly-quadratic filter designs for polytopic LPV systems ⋮ Optimal robust fault detection of discrete‐time LPV systems with measurement error‐affected scheduling variables combining ZKF and pQP ⋮ Design of saturating state feedback control laws for discrete‐time linear parameter varying systems through homogeneous polynomial parameter‐dependent functions ⋮ Robust controllers design for constrained nonlinear parameter varying descriptor systems ⋮ Indirect adaptive model predictive control and its application to uncertain linear systems ⋮ Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems ⋮ Numerical methods for robust performance analysis of linear discrete-time polytopic systems with respect to random disturbances ⋮ Improved ℋ2 and ℒ2 control designs for discrete-time LPV/LFR systems ⋮ Mixed H2/H∞ model reference control of linear parameter‐varying discrete‐time systems with real‐time application to aeropendulum system ⋮ Graph-based conditions for feedback stabilization of switched and LPV systems ⋮ Set theoretic approach to fault-tolerant control of linear parameter-varying systems with sensor reintegration ⋮ Control of Continuous-Time Markov Jump Linear Systems with Partial Information ⋮ On parameterized dissipation inequalities and receding horizon robust control ⋮ Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems ⋮ A convex optimization approach to adaptive stabilization of discrete‐time LTI systems with polytopic uncertainties ⋮ Stabilisation of polytopic singularly perturbed linear systems ⋮ Stability analysis and stabilisation of switched nonlinear systems ⋮ A predictive control scheme for systems with variable time-delay ⋮ An improved robust stability and robust stabilization method for linear discrete-time uncertain systems ⋮ Discrete-time H∞ control of linear parameter-varying systems ⋮ Model order-reduction for discrete-time switched linear systems ⋮ Discrete‐time H − ∕ H ∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty ⋮ and nonquadratic stabilisation of discrete-time Takagi–Sugeno systems based on multi-instant fuzzy Lyapunov functions ⋮ Invariant set-based robust fault detection and optimal fault estimation for discrete-time LPV systems with bounded uncertainties ⋮ Simultaneous sensor and actuator fault estimation for continuous-time polytopic LPV system ⋮ Multiple actuator-fault detectability analysis using invariant sets for discrete-time LPV systems ⋮ Mixed 𝓗2/𝓗∞ filtering for Markov jump linear systems ⋮ Tracking control with aperiodic sampling over networks with delay and dropout ⋮ A BMI approach for ℋ︁∞ gain scheduling of discrete time-varying systems ⋮ Stability and performance of discrete-time switched linear systems ⋮ H\(_\infty\) generalized dynamic unknown inputs observer design for discrete LPV systems. Application to wind turbine ⋮ Computation of contractive polyhedra for discrete-time linear systems with saturating controls ⋮ Actuator fault tolerant control of systems with polytopic uncertainties using set-based diagnosis and virtual-actuator-based reconfiguration ⋮ Deciding the boundedness and dead-beat stability of constrained switching systems ⋮ A family of piecewise affine control Lyapunov functions ⋮ Dilated LMI conditions for time-varying polytopic descriptor systems: the discrete-time case ⋮ Min-Max model predictive control for constrained nonlinear systems via multiple LPV embeddings ⋮ Robust \(\mathcal H_{\infty }\) static output feedback control of discrete-time switched polytopic linear systems with average dwell-time ⋮ Robust Control of Discrete Linear Repetitive Processes with Parameter Varying Uncertainty ⋮ Generalized \(H_{2}\) output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions ⋮ Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form ⋮ Robust \(\mathcal H_2\) performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs ⋮ Delay-dependent \(H_\infty\) control for 2-D switched delay systems in the second FM model ⋮ On analysis and design of discrete-time constrained switched systems ⋮ Stabilisation and control synthesis of switching systems subject to actuator saturation ⋮ \(H_{\infty}\) gain-scheduled control for LPV stochastic systems ⋮ LMI conditions for quadratic and robust -stability of interval systems ⋮ Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization ⋮ Quadratic andH∞switching control for discrete-time linear systems with multiplicative noises ⋮ Development of stability research on Takagi-Sugeno fuzzy control systems and approximation of the necessary and sufficient conditions ⋮ A new discrete-time stabilizability condition for Linear Parameter-Varying systems ⋮ Robust pole placement and random disturbance rejection for linear polytopic systems with application to grid-connected converters ⋮ Controller synthesis for networked control systems ⋮ Output feedback stabilization of switching discrete-time linear systems with parameter uncertainties ⋮ \(\mathcal{H}_2\) control and filtering of discrete-time LPV systems exploring statistical information of the time-varying parameters ⋮ A new iterative approach for multi-objective fault detection observer design and its application to a hypersonic vehicle ⋮ Obtaining alternative LMI constraints with applications to discrete-time MJLS and switched systems ⋮ Reformulation of LMI-based stabilisation conditions for non-linear systems in Takagi–Sugeno's form ⋮ Asymptotically necessary and sufficient stability conditions for discrete-time Takagi-Sugeno model: extended applications of Polya's theorem and homogeneous polynomials ⋮ Discretization and event triggered digital output feedback control of LPV systems ⋮ Stability analysis of discrete-time Lur'e systems ⋮ Parameter-dependent Lyapunov function-based robust iterative learning control for discrete systems with actuator faults ⋮ Sufficient dilated LMI conditions for \(H_\infty\) static output feedback robust stabilization of linear continuous-time systems ⋮ Delay-dependent sampled-data control based on delay estimates ⋮ Stabilization by Quantized Delayed State Feedback ⋮ Stability and stabilization for LPV systems based on Lyapunov functions with non-monotonic terms ⋮ Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems ⋮ Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators ⋮ Performances of unknown input observers for chaotic LPV maps in a stochastic context ⋮ Control design approaches for nonlinear systems using multiple models ⋮ Finite-time boundedness and finite-time \(l_2\) gain analysis of discrete-time switched linear systems with average dwell time ⋮ Robust fuzzy stabilization of hybrid discrete delay T-S systems ⋮ Root mean square gain of discrete-time switched linear systems under Dwell time constraints ⋮ Converging algorithm for a class of BMI applied on state-dependent stabilization of switched systems ⋮ Robust control with finite frequency specification for uncertain discrete linear repetitive processes ⋮ A synthesis approach of on-line constrained robust model predictive control. ⋮ Dwell time analysis of deterministic and stochastic switched systems ⋮ Establishing robust stability of discrete-time systems with time-varying uncertainty: the Gram-SOS approach ⋮ Analysis and control of LTI and switched systems in digital loops via an event-based modelling ⋮ Polytopic uncertainty for linear systems: new and old complexity results ⋮ Stability results for linear parameter varying and switching systems ⋮ Stability analysis of LPV systems: scenario approach ⋮ Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties ⋮ Recent developments on the stability of systems with aperiodic sampling: an overview ⋮ Discrete-time control for switched positive systems with application to mitigating viral escape ⋮ Robust \(H^\infty\) performance analysis and synthesis of discrete-time LPV systems ⋮ Convex liftings-based robust control design ⋮ Fault diagnosis for a class of descriptor linear parameter‐varying systems ⋮ Parameter-memorized Lyapunov functions for discrete-time systems with time-varying parametric uncertainties ⋮ Robust static output feedback control for linear discrete-time systems with time-varying uncertainties ⋮ On unknown input observers designs for discrete-time LPV systems with bounded rates of parameter variation ⋮ Robust control through piecewise Lyapunov functions for discrete time-varying uncertain systems ⋮ POLYTOPIC OBSERVER FOR GLOBAL SYNCHRONIZATION OF SYSTEMS WITH OUTPUT MEASURABLE NONLINEARITIES ⋮ UNKNOWN INPUT OBSERVERS FOR MESSAGE-EMBEDDED CHAOS SYNCHRONIZATION OF DISCRETE-TIME SYSTEMS ⋮ Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems ⋮ An efficient LMI approach for the quadratic stabilisation of a class of linear, uncertain, time-varying systems ⋮ Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems ⋮ Receding horizon output feedback control for constrained uncertain systems using periodic invariance ⋮ Less conservative \(\mathcal{H}_{\infty}\) fuzzy control for discrete-time Takagi-Sugeno systems
Cites Work
- Unnamed Item
- Unnamed Item
- Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
- Bibliography on robust control
- A new discrete-time robust stability condition
- Linear Matrix Inequalities in System and Control Theory
- A new class of universal Lyapunov functions for the control of uncertain linear systems
- Lyapunov functions for uncertain systems with applications to the stability of time varying systems
- Affine parameter-dependent Lyapunov functions and real parametric uncertainty
- Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
This page was built for publication: Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties