Time-optimal control of an inverted pendulum in the feedback form

DOI10.1134/S1064230706030063zbMath1260.49067OpenAlexW1980610572MaRDI QIDQ1946406

Sergey A. Reshmin, Felix L. Chernousko

Publication date: 12 April 2013

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

Full work available at URL: https://doi.org/10.1134/s1064230706030063

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (9)

Bifurcation in a time-optimal problem for a second-order nonlinear system ⋮ Control of mechanical systems with uncertain parameters by means of small forces ⋮ The stability and stabilization of nonlinear, non-stationary mechanical systems ⋮ Optimal synthesis in the control problem of an \(n\)-link inverted pendulum with a moving base ⋮ Unstable oscillating systems with hysteresis: problems of stabilization and control ⋮ On quick action in the problem of controlling the vertical position of a pendulum by the movement of its base ⋮ Stabilizing equilibrium states of double pendulum loaded by follower and concervative forces ⋮ Observer design for an inverted pendulum with biased position sensors ⋮ Method for constructing periodic solutions of a controlled dynamic system with a cylindrical phase space

Uses Software

• Turbo Pascal

Cites Work

• Swinging up a pendulum by energy control
• 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
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