Optimum \(H^ \infty\) designs under sampled state measurements

DOI10.1016/0167-6911(91)90112-RzbMath0735.93017MaRDI QIDQ1175509

Tamer Başar

Publication date: 25 June 1992

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

zbMATH Keywords

Riccati differential equation\(H^ \infty\)-optimal control problem

Mathematics Subject Classification ID

(H^infty)-control (93B36) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Frequency domain sensitivity functions for continuous time systems under sampled data control ⋮ Robust control of linear continuous time-delay systems with finite discrete jumps and norm-bounded uncertainties ⋮ Generalized \(H_\infty\)-optimal control of continuous-discrete linear plant ⋮ \(H_ \infty\)-optimal sampled-data control: Computation and design ⋮ Sampled-data Nash equilibria in differential games with impulse controls ⋮ Minimax control of switching systems under sampling ⋮ Induced norms for sampled-data systems ⋮ An LMI solution to the robust synthesis problem for multi-rate sampled-data systems ⋮ \(H^ \infty\)-optimal control for singularly perturbed systems. I: Perfect state measurements

Cites Work

• Unnamed Item
• A course in \(H_{\infty}\) control theory
• Dynamic noncooperative game theory
• The Riccati equation
• Linear-quadratic, two person, zero-sum differential games: Necessary and sufficient conditions
• On the central controller: Characterizations via differential games and LEQG control problems
• On the \(\geq rmL_ 2\)-induced norm of a sampled-data system
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Values and strategies for infinite time linear quadratic games
• On values and strategies for infinite-time linear quadratic games

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