Asymptotic expansions for game-theoretic Riccati equations and stabilization with disturbance attenuation for singularly perturbed systems

DOI10.1016/0167-6911(93)90107-HzbMath0784.93040OpenAlexW2137047969MaRDI QIDQ686226

Vasile Dragan

Publication date: 14 November 1993

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

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90107-h

zbMATH Keywords

Riccati equationssingular perturbed systems

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (12)

H 2 guaranteed cost control problem of singularly perturbed systems with uncertainties ⋮ A generalized KYP Lemma-based approach for \(H _{\infty }\) control of singularly perturbed systems ⋮ \(H_\infty\) control for singularly perturbed systems ⋮ Asymptotic analysis and solution of a finite-horizon \(H_{\infty}\) control problem for singularly-perturbed linear systems with small state delay ⋮ State-feedbackH? control of nonlinear singularly perturbed systems ⋮ Asymptotic expansions and a new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems ⋮ An algorithm for solving the singularly perturbed \(H_\infty\) algebraic Riccati equation ⋮ Unnamed Item ⋮ Robust \(H_{\infty}\) minimum entropy static output-feedback control of singularly perturbed systems ⋮ \(H_\infty\) control of linear singularly perturbed systems with small state delay ⋮ The guaranteed cost control problem of uncertain singularly perturbed systems ⋮ Robust stabilization of two-time scale systems with respect to the normalized coprime factorization

Cites Work

• Singular perturbations and time-scale methods in control theory: Survey 1976-1983
• \(H^ \infty\)-optimal control for singularly perturbed systems. I: Perfect state measurements
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications

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