Optimal control of a constrained bilinear dynamic system

DOI10.1007/s10957-017-1095-2zbMath1377.49024OpenAlexW2597396190MaRDI QIDQ1673921

Yuri Ribakov, Grigory Agranovich, Ido Halperin

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1095-2

zbMATH Keywords

optimal controlfeedbackKrotov's methodbilinear quadratic regulatorsemi-active structural control

Mathematics Subject Classification ID

Application models in control theory (93C95) Vibrations in dynamical problems in solid mechanics (74H45) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving relations other than differential equations (49K21)

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Optimal Feedback for Structures Controlled by Hydraulic Semi-active Dampers ⋮ Turning motion control design of a two-wheeled inverted pendulum using curvature tracking and optimal control theory ⋮ LQR based optimal co-design for linear control systems with input and state constraints ⋮ Linear quadratic optimal control design: a novel approach based on krotov conditions ⋮ Extension of the constrained bilinear quadratic regulator to the excited multi-input case

Cites Work

• The Bubnov-Galerkin method in control problems for bilinear systems
• Optimization of linear systems with controllable coefficients
• Sufficient Conditions in Optimal Control Theory
• Feedback Stabilization of Bilinear Control Systems
• The successive approximation procedure for finite-time optimal control of bilinear systems
• Bilinear quadratic optimal control: a recursive approach
• Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
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