New method for composite optimal control of singularly perturbed systems

DOI10.1080/00207729708929375zbMath0892.49025OpenAlexW2081369957MaRDI QIDQ4336529

Hua Xu, Koichi Mizukami, Hiroaki Mukaidani

Publication date: 12 June 1997

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

Full work available at URL: https://doi.org/10.1080/00207729708929375

zbMATH Keywords

descriptor systemssingularly perturbed systemsRiccati equationcomposite optimal control problemslow regulator problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimal feedback synthesis (49N35) Model systems in control theory (93C99)

Related Items (7)

Suboptimal reduced control of unknown nonlinear singularly perturbed systems via reinforcement learning ⋮ New results for near-optimal control of linear multiparameter singularly perturbed systems. ⋮ A descriptor system approach to nonlinear singularly perturbed optimal control problem. ⋮ A descriptor-system approach for finite-frequency \(H_{\infty}\) control of singularly perturbed systems ⋮ \(H^{\infty}\) control for fuzzy singularly perturbed systems ⋮ Near-optimal control for a singularly perturbed linear stochastic singular system with Markovian jumping parameters ⋮ The guaranteed cost control problem of uncertain singularly perturbed systems

Cites Work

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• A descriptor-system approach to singular perturbation of linear regulators
• Complete decomposition of sub-optimal regulators for singularly perturbed systems
• A decomposition of near-optimum regulators for systems with slow and fast modes
• The robustness properties of the linear quadratic regulators for singular systems

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