Robust exponential l 2 − l ∞ control for discrete-time switched system: A cone complement linearization method

DOI10.1002/oca.1013zbMath1276.93024OpenAlexW1959770792MaRDI QIDQ2864786

Guangdeng Zong, Linlin Hou, Yu-Qiang Wu

Publication date: 26 November 2013

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.1013

zbMATH Keywords

average dwell timediscrete-time switched systemsrobust exponential stabilitycone complement linearization (CCL) methodexponential \(l_{2}\) - \(l_{\infty }\) controller

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Linearizations (93B18) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

Robust resilient \(\mathcal L_2-\mathcal L_\infty\) control for uncertain stochastic systems with multiple time delays via dynamic output feedback ⋮ Composite anti-disturbance control for a discrete-time time-varying delay system with actuator failures based on a switching method and a disturbance observer

Uses Software

• SeDuMi

Cites Work

• Delay-dependent robust stability and \(H_{\infty }\) control for uncertain discrete-time switched systems with mode-dependent time delays
• Further results concerning delay-dependent \(H_{\infty}\) control for uncertain discrete-time systems with time-varying delay
• Robust \(H_\infty \) stabilization for uncertain switched impulsive control systems with state delay: An LMI approach
• Convolution and Hankel operator norms for linear systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Basic problems in stability and design of switched systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• $H_\infty$ Filtering of Discrete-Time Switched Systems With State Delays via Switched Lyapunov Function Approach

This page was built for publication: Robust exponential l ₂  − l _∞ control for discrete-time switched system: A cone complement linearization method