Title :
Stabilization of a class of nonlinear systems using direct adaptive control
Author :
Roup, Alexander V. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
We consider adaptive stabilization for a class of nonlinear second-order systems. Interpreting the system states as position and velocity, the system is assumed to have unknown, position-dependent damping and stiffness. Lyapunov methods are used to prove global convergence of the adaptive controller. For illustration, the controller is used to stabilize the Van der Pol limit cycle as well as the multiple equilibria of the Duffing oscillator
Keywords :
Lyapunov methods; adaptive control; convergence; limit cycles; nonlinear control systems; oscillators; state feedback; Duffing oscillator; Van der Pol limit cycle; adaptive stabilization; direct adaptive control; global convergence; nonlinear second-order systems; position-dependent damping; stiffness; Adaptive control; Analytical models; Control systems; Convergence; Damping; Limit-cycles; Linear systems; Nonlinear systems; Programmable control; State feedback;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879145
