L2-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation

DOI10.1080/00207179.2011.625046zbMath1236.93063OpenAlexW2044245151MaRDI QIDQ3119125

Xinquan Zhang, Jun Zhao, Georgi M. Dimirovski

Publication date: 7 March 2012

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2011.625046

zbMATH Keywords

time delaymultiple Lyapunov functionssaturating actuatorsdisturbance tolerance\(L_{2}\)-gainuncertain switched linear systems

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Linear systems in control theory (93C05) Synthesis problems (93B50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (20)

Regional input-to-state stabilization of fuzzy state-delayed discrete-time systems with saturating actuators ⋮ \(l_2\)-gain analysis and output feedback control for switched delay systems with actuator saturation ⋮ Exponential stability analysis and stabilization of switched delay systems ⋮ An anti-windup design to robust \(H_\infty\) control for singular Markovian jump systems with actuator saturation and general unknown transition rates ⋮ Local stabilization of nonlinear discrete-time systems with time-varying delay in the states and saturating actuators ⋮ Energy-to-peak combined switching bumpless transfer control for switched interval type-2 fuzzy delayed systems ⋮ Novel criteria for stability and ℓ₁‐gain analysis of switched positive time‐delay systems ⋮ Robust stabilization and \(l_2\)-gain control of uncertain discrete-time constrained piecewise-affine systems ⋮ Robust local stabilization of discrete time-varying delayed state systems under saturating actuators ⋮ Robust local stabilization of discrete-time systems with time-varying state delay and saturating actuators ⋮ <scp>H</scp>_∞ Control for a Class of Continuous‐time Switched Systems with State Constraints ⋮ Stabilisation for switched linear systems with time-varying delay and input saturation ⋮ Guaranteed cost control of discrete-time switched saturated systems ⋮ Output feedback passification of switched continuous-time linear systems subject to saturating actuators ⋮ Anti-windup strategies for discrete-time switched systems subject to input saturation ⋮ \(L_{2}\)-gain analysis and control of saturated switched systems with a dwell time constraint ⋮ Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator ⋮ L_∞andL₂semi-global stabilisation of continuous-time periodic linear systems with bounded controls ⋮ L₂‐gain analysis and anti‐windup design of switched linear systems subject to input saturation ⋮ \(L_{2}\)-gain analysis and output feedback control for continuous-time switched systems with actuator saturation

Uses Software

• LMI toolbox

Cites Work

• Stability and \(L_{2}\)-gain analysis for switched delay systems: a delay-dependent method
• Output feedback control of saturated discrete-time linear systems using parameter-dependent Lyapunov functions
• Delay-range-dependent control synthesis for time-delay systems with actuator saturation
• \(H_\infty \) control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback
• \({\mathcal L}_2\) gain analysis for a class of switched systems
• Disturbance attenuation properties of time-controlled switched systems
• Analysis of linear systems in the presence of actuator saturation and \(\mathcal L_2\)-disturbances
• Delay-dependent stability for discrete systems with large delay sequence based on switching techniques
• On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
• Anti-windup design with guaranteed regions of stability for discrete-time linear systems
• Distributed optimal component fusion weighted by scalars for fixed-lag Kalman smoother
• Stabilisation and control synthesis of switching systems subject to actuator saturation
• Constrained control of switching systems: a positive invariant approach
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Delay-dependent robust stabilization of uncertain systems with multiple state delays
• Basic problems in stability and design of switched systems
• Design of Switched Linear Systems in the Presence of Actuator Saturation
• Dynamic Output Feedback for Discrete-Time Systems Under Amplitude and Rate Actuator Constraints
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• A Switching Anti-windup Design Using Multiple Lyapunov Functions
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• Quadratic Stability of a Class of Switched Nonlinear Systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching
• Hybrid control for global stabilization of the cart-pendulum system
• Analysis and design for discrete-time linear systems subject to actuator saturation

This page was built for publication: L₂-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation