Output feedback guaranteed cost control for uncertain discrete-time systems using linear matrix inequalities

DOI10.1023/A:1015369006867zbMath1001.93022OpenAlexW1564758506MaRDI QIDQ700729

L. Yu, Furong Gao

Publication date: 8 October 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015369006867

zbMATH Keywords

linear systemsrobust stabilizationdiscrete-time systemsrobust controlsynthesis problemsfeedback designguaranteed cost controlconvex linear matrix inequalityunstructured uncertainty

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) Adaptive or robust stabilization (93D21) Synthesis problems (93B50)

Related Items (10)

Application of a multiplier method to uncertain Lur'e-like systems ⋮ Relaxed LMI condition for output feedback guaranteed cost control of uncertain discrete-time systems ⋮ Novel optimal guaranteed cost control of uncertain discrete systems with both state and input delays ⋮ Some results on guaranteeing cost strategies: full-block multipliers and fictitious games ⋮ Bilinear matrix inequality approaches to robust guaranteed cost control for uncertain discrete‐time delay system ⋮ State feedback guaranteed cost repetitive control for uncertain discrete-time systems ⋮ Dynamic output guaranteed cost controller for neutral systems with input delay ⋮ Guaranteed Cost Control for a Class of Uncertain Stochastic Impulsive Systems with Markovian Switching ⋮ Robust decentralised observer based guaranteed cost control for nonlinear uncertain interconnected systems. Application to multi-machine power systems ⋮ Robust sampled-dataH_∞output tracking control for a class of nonlinear networked systems with stochastic sampling

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Unnamed Item
• Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
• A stabilization algorithm for a class of uncertain linear systems
• An LMI approach to guaranteed cost control of linear uncertain time-delay systems
• Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty
• Optimal guaranteed cost control of discrete-time uncertain linear systems
• Optimal guaranteed cost control and filtering for uncertain linear systems
• Multiobjective output-feedback control via LMI optimization
• Guaranteed cost control of uncertain discrete systems with delays
• Output feedback H_∞ control of systems with parameter uncertainty
• Adaptive guaranteed cost control of systems with uncertain parameters
• Robust maximum likelihood estimation in the linear model

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