Robust \(L_2\)-\(L_{\infty}\) control of uncertain differential linear repetitive processes

DOI10.1016/j.sysconle.2007.10.005zbMath1139.93011DBLPjournals/scl/WuW08OpenAlexW1607211833WikidataQ57589879 ScholiaQ57589879MaRDI QIDQ2427476

Zidong Wang, Li-Gang Wu

Publication date: 13 May 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/4924

zbMATH Keywords

uncertaintylinear matrix inequality (LMI)dynamic output feedback controllinear repetitive processes (LRPs)\(L_{2}\)-\(L_{\infty}\) performance

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Control/observation systems with incomplete information (93C41) Discrete-time control/observation systems (93C55)

Related Items (9)

Robust resilient \(\mathcal L_2-\mathcal L_\infty\) control for uncertain stochastic systems with multiple time delays via dynamic output feedback ⋮ Nonfragile robust finite-time \(L_2-L_\infty\) controller design for a class of uncertain Lipschitz nonlinear systems with time-delays ⋮ Necessary optimality conditions for a class of impulsive and switching systems ⋮ Adaptive \(H_\infty\) control in finite frequency domain for uncertain linear systems ⋮ \(l_2 - l_\infty\) filtering of discrete-time switched systems via admissible edge-dependent switching signals ⋮ Design of non‐fragile guaranteed‐cost repetitive‐control system based on two‐dimensional model ⋮ Generalized ℋ︁₂ model approximation for differential linear repetitive processes ⋮ A 2D-based approach to guaranteed cost repetitive control for uncertain discrete-time systems ⋮ Delay-dependent stability and robust L ₂ −L _∞ control for a class of fuzzy descriptor systems with time-varying delay

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Unnamed Item
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• \(H_\infty\) control and filtering of two-dimensional systems
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• Robust output-feedback controller design via local BMI optimization
• Robust filtering with guaranteed energy-to-peak performance -- \({\mathcal LMI}\) approach
• On \(H_\infty\) performance analysis for continuous-time stochastic systems with polytopic uncertainties
• \(H_{\infty }\) model reduction of Markovian jump linear systems
• Robust energy-to-peak filter design for stochastic time-delay systems
• \(\mathcal H_{\infty}\) and guaranteed cost control of discrete linear repetitive processes
• Robust Hinfinitystate feedback control of discrete time-delay linear systems with norm-bounded uncertainty
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements
• H/sub 2//H/sub /spl infin// filter design for systems with polytope-bounded uncertainty

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