Control for a Class of Second-Order Systems via a State-Dependent Riccati Equation Approach

DOI10.1137/16M1073820zbMath1386.93144OpenAlexW2781741829MaRDI QIDQ4601234

Yew-Wen Liang, Li-Jen Cheng, Li-Gang Lin

Publication date: 12 January 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1073820

zbMATH Keywords

state-dependent Riccati equationnonlinear control systemglobally asymptotic stabilitystate-dependent coefficient matrix

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Multivariable systems, multidimensional control systems (93C35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)

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Convex quadratic equation ⋮ An update algorithm design using moving region of attraction for SDRE based control law

Cites Work

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• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Existence of SDRE stabilizing feedback

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