Title :
Controlling chaos via continuous nonlinear state feedback
Author_Institution :
Dept. of Automatic Control, Southeast Univ., Nanjing, China
Abstract :
An analytic nonlinear control method based on the concept of macrovariable control is proposed to stabilize chaotic systems. The system trajectory is attracted to some selected invariant manifold by continuous feedback of system states which can be used as small perturbations on an available system parameter or outer-force control. The method is applied to stabilizing two typical chaotic nonlinear systems at equilibria or periodic orbits
Keywords :
asymptotic stability; chaos; nonlinear control systems; state feedback; analytic nonlinear control method; chaotic systems; continuous nonlinear state feedback; invariant manifold; macrovariable control; periodic orbits; Chaos; Control systems; Control theory; Feedback; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Orbits; Polynomials; Stability;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657683
