An LMI approach for H ∞ analysis and control of discrete-time piecewise affine systems

DOI10.1080/0020717021000023726zbMath1015.93015OpenAlexW1981838805MaRDI QIDQ4800332

Manfred Morari, Francesco Alessandro Cuzzola

Publication date: 13 July 2003

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

Full work available at URL: https://doi.org/10.1080/0020717021000023726

zbMATH Keywords

stability\(H_\infty\) controllinear matrix inequalitiesdiscrete-time systemshybrid systemsdesign methodscontrol inputpiecewise affine linear systems

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

\(H_\infty\) control of piecewise-linear systems under unreliable communication links, On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems, Static output feedback control for discrete-time switched systems via improved path-following method, Approaches to robust ℋ︁∞ static output feedback control of discrete-time piecewise-affine systems with norm-bounded uncertainties, Delay‐dependent non‐synchronized robust ℋ_∞ state estimation for discrete‐time piecewise linear delay systems, Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems, New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems, Observer-based control of discrete-time Lipschitzian non-linear systems: application to one-link flexible joint robot, Event-triggered H_∞ control for discrete-time piecewise affine systems with norm-bounded uncertainties, Dynamic output feedbackH_∞control for affine fuzzy systems

Uses Software

• LMI toolbox

Cites Work

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