Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems

DOI10.1007/s11071-020-05845-7zbMath1516.93172OpenAlexW3046841548MaRDI QIDQ6168786

Hua-Cheng Zhou, Ze-Hao Wu, Bao-Zhu Guo, Fei Qi Deng

Publication date: 9 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05845-7

zbMATH Keywords

boundary controldisturbanceinfinite-dimensional systemsstochastic systemsactive disturbance rejection controlextended state observerfractional-order PDE

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02)

Related Items (7)

Simplifying ADRC design with error-based framework: case study of a DC-DC buck power converter ⋮ Active disturbance rejection control for lower triangular uncertain stochastic nonlinear systems driven by coloured noises ⋮ Active disturbance rejection control of second-order nonlinear uncertain systems with guaranteed transient and steady state tracking error bounds ⋮ Adaptive controller based on the affine equivalent model with disturbance rejection for discrete-time switched systems ⋮ Tracking consensus for uncertain nonlinear multi‐agent systems under cloud‐based event‐triggered coordination ⋮ Analysis and tuning of reduced-order active disturbance rejection control ⋮ Observer design and stability analysis for a class of PDE chaotic systems

Cites Work

• Distributed disturbance estimator and application to stabilization for multi-dimensional wave equation with corrupted boundary observation
• On robust control invariance of Boolean control networks
• Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation
• Active disturbance rejection control: theoretical perspectives
• A generalized active disturbance rejection control method for nonlinear uncertain systems subject to additive disturbance
• Compound control methodology for flight vehicles
• Output tracking for a class of nonlinear systems with mismatched uncertainties by active disturbance rejection control
• On the convergence of an extended state observer for nonlinear systems with uncertainty
• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control
• Disturbance rejection control of morphing aircraft based on switched nonlinear systems
• Stochastic models, estimation, and control. Vol. 2,3
• Control of uncertain nonlinear systems based on observers and estimators
• Active disturbance rejection control for high pointing accuracy and rotation speed
• Parameter convergence and minimal internal model with an adaptive output regulation problem
• High-gain observers in the presence of measurement noise: a switched-gain approach
• Nonlinear control systems: An introduction
• Stochastic nonlinear stabilization. I: A backstepping design
• Adaptive nonlinear control without overparametrization
• The internal model principle of control theory
• Disturbance estimator based output feedback exponential stabilization for Euler-Bernoulli beam equation with boundary control
• Approximate decoupling and output tracking for MIMO nonlinear systems with mismatched uncertainties via ADRC approach
• Active disturbance rejection adaptive control of uncertain nonlinear systems: theory and application
• Stabilization of an Euler-Bernoulli beam with a tip mass under the unknown boundary external disturbances
• The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems
• Active disturbance rejection control for uncertain time-delay nonlinear systems
• Cooperative disturbance rejection control of vibrating flexible riser systems
• On the robust stability of active disturbance rejection control for SISO systems
• A nonlinear extended state observer based on fractional power functions
• The active disturbance rejection and sliding mode control approach to the stabilization of the Euler-Bernoulli beam equation with boundary input disturbance
• How much uncertainty can be dealt with by feedback?
• Active disturbance rejection control for nonlinear fractional-order systems
• On Convergence of the Nonlinear Active Disturbance Rejection Control for MIMO Systems
• STOCHASTIC AVERAGING OF STRONGLY NON-LINEAR OSCILLATORS UNDER BOUNDED NOISE EXCITATION
• On convergence of tracking differentiator
• Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schrödinger equation subject to boundary control matched disturbance
• Active Disturbance Rejection Control for Nonlinear Systems
• The active disturbance rejection control of the rotating disk–beam system with boundary input disturbances
• Active Disturbance Rejection Control Approach to Output-Feedback Stabilization of a Class of Uncertain Nonlinear Systems Subject to Stochastic Disturbance
• Divided State Feedback Control of Stochastic Systems
• Output Feedback Stabilization for One-Dimensional Wave Equation Subject to Boundary Disturbance
• The Active Disturbance Rejection Control to Stabilization for Multi-Dimensional Wave Equation With Boundary Control Matched Disturbance
• New Results on Output Feedback <formula formulatype="inline"> <tex Notation="TeX">$H_{\infty} $</tex></formula> Control for Linear Discrete-Time Systems
• On the conditions of exponential stability in active disturbance rejection control based on singular perturbation analysis
• Stability of active disturbance rejection control for uncertain systems: A Lyapunov perspective
• Output-based disturbance rejection control for 1-D anti-stable Schrödinger equation with boundary input matched unknown disturbance
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• Admissibility of Unbounded Control Operators
• Backstepping Controller Design for Nonlinear Stochastic Systems Under a Risk-Sensitive Cost Criterion
• Output Feedback Exponential Stabilization for One-Dimensional Unstable Wave Equations with Boundary Control Matched Disturbance
• Active Disturbance Rejection Control for Uncertain Nonaffine-in-Control Nonlinear Systems
• A Novel Extended State Observer for Output Tracking of MIMO Systems With Mismatched Uncertainty
• A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
• Delay-Dependent <formula formulatype="inline"><tex>$H_{\infty }$</tex> </formula> Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays
• Active disturbance rejection control approach to output‐feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty
• Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
• Stabilization of an Euler–Bernoulli beam system with a tip mass subject to non-uniform bounded disturbance
• Extended state observer for MIMO nonlinear systems with stochastic uncertainties
• Altitude control for flexible wing unmanned aerial vehicle based on active disturbance rejection control and feedforward compensation
• Finite Horizon $H_{2}/H_{\infty}$ Control for Discrete-Time Stochastic Systems With Markovian Jumps and Multiplicative Noise
• Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation
• Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control
• Active Disturbance Rejection Control for Rejecting Boundary Disturbance from Multidimensional Kirchhoff Plate via Boundary Control
• Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition
• Mittag‐Leffler stabilization for an unstable time‐fractional anomalous diffusion equation with boundary control matched disturbance
• Weak Convergence of Nonlinear High-Gain Tracking Differentiator
• Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input
• On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems
• Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance
• ADRC Dynamic Stabilization of an Unstable Heat Equation
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