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Stabilization of the inverted pendulum around its homoclinic orbit
Authors:Rogelio Lozano   Isabelle Fantoni  Dan J. Block  
Affiliation:a Heudiasyc Centre de Recherches de Royallieu, Univ. de Technologie de Compiègne, UMR-CNRS 6599, BP 20529, 60205 Compiègne, France;b College of Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Abstract:The inverted pendulum has been used as a benchmark for motivating the study of nonlinear control techniques. We propose a simple controller for balancing the inverted pendulum and raise it to its upper equilibrium position while the cart displacement is brought to zero. The control strategy is based on an energy approach of the cart and pendulum system.
Keywords:Nonlinear systems   Passivity   Inverted pendulum   Lyapunov functions
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