H 2 guaranteed cost control problem of singularly perturbed systems with uncertainties

DOI10.1080/00207720110051996zbMath1039.93044OpenAlexW2012811617MaRDI QIDQ4780590

Hua Xu, Hiroaki Mukaidani

Publication date: 2001

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720110051996

zbMATH Keywords

parametric uncertaintiessingularly perturbed linear systems\(H_2\) guaranteed cost controlreduced order algebraic Riccati equation

Mathematics Subject Classification ID

(H^infty)-control (93B36) Time-scale analysis and singular perturbations in control/observation systems (93C70) Problems with incomplete information (optimization) (49N30)

Related Items (1)

A new approach to robust guaranteed cost control for uncertain multimodeling systems

Cites Work

• Asymptotic expansions for game-theoretic Riccati equations and stabilization with disturbance attenuation for singularly perturbed systems
• A stabilization algorithm for a class of uncertain linear systems
• \(H_\infty\) control for singularly perturbed systems
• \(H^ \infty\)-optimal control for singularly perturbed systems. I: Perfect state measurements
• Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions
• Robust disturbance attenuation with stability for a class of uncertain singularly perturbed systems
• Optimal guaranteed cost control and filtering for uncertain linear systems
• Nonlinear bounded control for norm-bounded uncertain systems
• H/sub 2/ guaranteed cost control for singularly perturbed uncertain systems
• New iterative algorithm for algebraic Riccati equation related to H/sub ∞/ control problem of singularly perturbed systems
• Robust H ² control of descriptor system with time-varying uncertainty

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