A time-optimal control synthesis for a nonlinear pendulum

DOI10.1134/S1064230707010030zbMath1272.49078MaRDI QIDQ367964

Felix L. Chernousko, Sergey A. Reshmin

Publication date: 17 September 2013

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Nonlinear systems in control theory (93C10) Control of mechanical systems (70Q05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Stabilization of a system of unstable pendulums: discrete and continuous case ⋮ Bifurcation in a time-optimal problem for a second-order nonlinear system ⋮ Properties of the time-optimal feedback control for a pendulum-like system ⋮ Scalar control of a group of free-running oscillators ⋮ On quick action in the problem of controlling the vertical position of a pendulum by the movement of its base ⋮ Control of an inverted pendulum on a wheel ⋮ State-feedback Control Principles for Inverted Pendulum with Hysteresis in Suspension

Uses Software

• Turbo Pascal

Cites Work

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• Time-optimal swing-up feedback control of a pendulum
• Minimum time control of a nonlinear system
• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Equilibrium attitude transitions of a three-rotor gyrostat in a circular orbit.

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