Title :
Weighted controller for an inverted pendulum: A replicator dynamics approach
Author :
Betancur, Alejandro ; Mojica-Nava, Eduardo ; Quijano, Nicanor
Author_Institution :
Dept. de Ing. Electr. y Electron., Univ. de los Andes, Bogota, Colombia
Abstract :
The inverted pendulum system has been widely studied to test control techniques of nonlinear systems. We introduce a new alternative to control systems with complex dynamics, based on evolutionary game theory. Specifically, we use dynamics that are represented by the replicator equation, which has been successfully used in autonomous systems, control flight, and temperature control. Simulation results compare our proposed method against a classical control technique.
Keywords :
control system synthesis; evolutionary computation; game theory; nonlinear control systems; optimal control; pendulums; position control; evolutionary game theory; inverted pendulum; nonlinear control systems; replicator dynamics approach; replicator equation; weighted controller; Damping; Eigenvalues and eigenfunctions; Equations; Mathematical model; Nonlinear dynamical systems; Trajectory; Inverted Pendulum; Replicator Dynamics; Weighted Control;
Conference_Titel :
ANDESCON, 2010 IEEE
Conference_Location :
Bogota
Print_ISBN :
978-1-4244-6740-2
DOI :
10.1109/ANDESCON.2010.5632514
