A revised Kleinman algorithm to solve algebraic Riccati equation of singularly perturbed systems

DOI10.1016/S0005-1098(01)00230-8zbMath0996.93033MaRDI QIDQ5960326

Hiroaki Mukaidani, Hua Xu, Koichi Mizukami

Publication date: 31 October 2002

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

singularly perturbed systemsquadratic convergenceRiccati equationnumerical algorithmquadratic termalgebraic Lyapunov equationKleinman algorithm

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Time-scale analysis and singular perturbations in control/observation systems (93C70) Linear-quadratic optimal control problems (49N10)

Cites Work

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• Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
• Optimal guaranteed cost control and filtering for uncertain linear systems
• Preprocessing data patterns to simplify the identification of fuzzy models
• Near-optimal H/sup ∞/ control of linear singularly perturbed systems

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