The guaranteed cost control problem of uncertain singularly perturbed systems

DOI10.1006/jmaa.2000.7040zbMath0976.93059OpenAlexW2119302484MaRDI QIDQ1593770

Koichi Mizukami, Hiroaki Mukaidani

Publication date: 1 July 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7040

zbMATH Keywords

algebraic Riccati equationinitial conditionKleinman algorithmguaranteed cost controlstabilizing solutionreduced-order equationsuncertain singularly perturbed system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Time-scale analysis and singular perturbations in control/observation systems (93C70)

Related Items (6)

Guaranteed cost stabilization of neutral differential systems with parametric uncertainty. ⋮ Optimal control for a new class of singularly perturbed linear systems ⋮ Delay-dependent guaranteed cost stabilization criterion for neutral delay-differential systems: Matrix inequality approach ⋮ Delay-dependent criterion for guaranteed cost control of neutral delay systems ⋮ Asymptotic expansions and a new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems ⋮ A new approach to robust guaranteed cost control for uncertain multimodeling systems

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic expansions for game-theoretic Riccati equations and stabilization with disturbance attenuation for singularly perturbed systems
• \(H_\infty\) control for singularly perturbed systems
• Singularly perturbed and weakly coupled linear control systems. A recursive approach
• New results on composite control of singularly perturbed uncertain linear systems
• Lyapunov matrix equations in system stability and control.
• Feedback control of nonstandard singularly perturbed systems
• Robust disturbance attenuation with stability for a class of uncertain singularly perturbed systems
• Robust stability of singularly perturbed systems
• Optimal guaranteed cost control and filtering for uncertain linear systems
• New method for composite optimal control of singularly perturbed systems
• H/sub 2/ guaranteed cost control for singularly perturbed uncertain systems
• Preprocessing data patterns to simplify the identification of fuzzy models

This page was built for publication: The guaranteed cost control problem of uncertain singularly perturbed systems