New design method on memoryless \(H_{\infty}\) control for singular systems with delayed state and control using LMI

DOI10.1016/j.jfranklin.2004.11.006zbMath1063.93017OpenAlexW1993993522MaRDI QIDQ1776669

Jong Hae Kim

Publication date: 12 May 2005

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2004.11.006

zbMATH Keywords

\(H_{\infty}\) controlTime delayLinear matrix inequalitySingular system

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems governed by functional-differential equations (93C23) (H^infty)-control (93B36) Implicit ordinary differential equations, differential-algebraic equations (34A09)

Related Items (13)

\(H_\infty\) control for Lur'e singular systems with time delays ⋮ Stability andL₂-gain analysis for switched singular linear systems with jumps ⋮ Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations ⋮ Sliding mode control for Markovian switching singular systems with time-varying delays and nonlinear perturbations ⋮ Robust \(H_{\infty}\) control for singular time-delay systems via parameterized Lyapunov functional approach ⋮ A linear matrix inequality approach to parametric \(H_{\infty }\) loop shaping control ⋮ H_∞filtering for nonlinear singular Markovian jumping systems with interval time-varying delays ⋮ \(H_\infty\) sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters ⋮ An LMI approach to robust H-infinity control for uncertain singular time-delay systems ⋮ \(H_\infty\) control of singular time-delay systems via discretized Lyapunov functional ⋮ H_∞Control with Transients for Singular Systems ⋮ DELAY-DEPENDENT ROBUST H_∞ CONTROL FOR SINGULAR SYSTEMS WITH MULTIPLE DELAYS ⋮ H∞ control for linear descriptor systems with non-differentiable delays in both state and observation

Cites Work

• Unnamed Item
• A generalized Lyapunov theorem for descriptor system
• \(H^\infty\) state feedback control for generalized continuous/discrete time-delay system
• Memoryless \(H_\infty\) controller for singular systems with delayed state and control

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