Properties of the time-optimal feedback control for a pendulum-like system

DOI10.1007/S10957-013-0480-8zbMath1305.49005OpenAlexW2046732389MaRDI QIDQ467483

Felix L. Chernousko, Sergey A. Reshmin

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10957-013-0480-8

zbMATH Keywords

optimal controlmechanical systemsoptimality conditions

Mathematics Subject Classification ID

Geometric methods (93B27) Control of mechanical systems (70Q05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

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Stabilization of a system of unstable pendulums: discrete and continuous case ⋮ Turning motion control design of a two-wheeled inverted pendulum using curvature tracking and optimal control theory ⋮ Low frequency Lagrange stabilization for pendulum‐like systems ⋮ Threshold absolute value of a relay control when time-optimally bringing a satellite to a gravitationally stable position ⋮ Matrix method of constructing the differential equations of motion of an exoskeleton and its control

Cites Work

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• A time-optimal control synthesis for a nonlinear pendulum
• Finding the principal bifurcation value of the maximum control torque in the problem of optimal control synthesis for a pendulum
• Time-optimal swing-up feedback control of a pendulum
• Minimum time control of a nonlinear system
• Time Optimal Swing-Up of the Planar Pendulum
• Equilibrium attitude transitions of a three-rotor gyrostat in a circular orbit.

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