Composite control of a class of nonlinear singularly perturbed discrete-time systems via D-SDRE

DOI10.1080/00207721.2015.1006710zbMath1345.93113OpenAlexW2047741470MaRDI QIDQ2822320

D. Subbaram Naidu, Yan Zhang, Yun Zou, Chen-Xiao Cai

Publication date: 30 September 2016

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

Full work available at URL: https://doi.org/10.1080/00207721.2015.1006710

zbMATH Keywords

optimal controlstate-dependent Riccati equationasymptotic stabilitycomposite controldiscrete-time nonlinear singularly perturbed systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Synthesis problems (93B50)

Related Items (5)

Robust dynamic output feedback control for uncertain fast sampling discrete-time singularly perturbed systems ⋮ Robustness of proper dynamic output feedback for discrete-time singularly perturbed systems ⋮ Tutorial and Review on the State-dependent Riccati Equation ⋮ Unnamed Item ⋮ Robust ISS of uncertain discrete-time singularly perturbed systems with disturbances

Cites Work

• Stability by Liapunov's direct method. With applications
• Robust control on saturated Markov jump systems with missing information
• Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem
• A new discrete-time robust stability condition
• A novel approach to output feedback control of fuzzy stochastic systems
• Singular perturbation analysis of the closed-loop discrete optimal control problem
• Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems
• Stabilizing feedbacks for imperfectly known, singularly perturbed nonlinear systems with discrete and distributed delays
• Gain scheduling control of nonlinear singularly perturbed time-varying systems with derivative information
• A descriptor system approach to nonlinear singularly perturbed optimal control problem.
• Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems

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