Robust \(\mathcal H_{\infty }\) static output feedback control of discrete-time switched polytopic linear systems with average dwell-time

DOI10.1007/s11432-009-0197-3zbMath1182.93057OpenAlexW2001983137MaRDI QIDQ848405

Gang Feng, Jianbin Qiu, Jie Yang

Publication date: 3 March 2010

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-009-0197-3

zbMATH Keywords

linear matrix inequalityswitched systemsaverage dwell-timestatic output feedback\(\mathcal H _{\infty }\) controltime-varying uncertainty

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Linear systems in control theory (93C05)

Related Items (6)

New stability and stabilization conditions of switched systems with mode-dependent average dwell time ⋮ Fault-tolerant control for discrete-time switched linear systems with time-varying delay and actuator saturation ⋮ Quasi-time-dependent robust \(\mathcal{H}_\infty\) static output feedback control for uncertain discrete-time switched systems with mode-dependent persistent dwell-time ⋮ Adaptive control for a class of switched linear systems using state-dependent switching ⋮ Output tracking control of cascade switched nonlinear systems ⋮ Stability analysis of 2-D switched systems with multiplicative noise under arbitrary and restricted switching signals

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Stability and \(L_{2}\)-gain analysis for switched delay systems: a delay-dependent method
• Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
• A new design of robust \(H_2\) filters for uncertain systems
• A new robust D-stability condition for real convex polytopic uncertainty
• Controllability and reachability criteria for switched linear systems
• Disturbance attenuation properties of time-controlled switched systems
• Improved robust \(H_{2}\) and \(H_{\infty}\) filtering for uncertain discrete-time systems
• A new discrete-time robust stability condition
• Robust static output feedback control for linear discrete-time systems with time-varying uncertainties
• Controllability and stabilizability of switched linear-systems
• Distributed optimal component fusion weighted by scalars for fixed-lag Kalman smoother
• Hybrid state feedback stabilization withl₂performance for discrete-time switched linear systems
• Improving transient response of adaptive control systems using multiple models and switching
• Linear Matrix Inequalities in System and Control Theory
• Stability theory for hybrid dynamical systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• A unified framework for hybrid control: model and optimal control theory
• Basic problems in stability and design of switched systems
• Advances in Linear Matrix Inequality Methods in Control
• A switching algorithm for global exponential stabilization of uncertain chained systems
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• Stability analysis of piecewise discrete-time linear systems
• Sufficient LMI Conditions for<tex>$H_infty$</tex>Output Feedback Stabilization of Linear Discrete-Time Systems
• Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems
• New approach to mixed H/sub 2//H/sub /spl infin// filtering for polytopic discrete-time systems
• Exponential H_∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach
• RobustH∞ filtering for switched linear discrete-time systems with polytopic uncertainties
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

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