On some controllability conditions for chaotic dynamics control
β Scribed by Guanrong Chen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 660 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we present some conventional feedback controller design principles for chaos control, with mathematical controllability conditions derived via the Lyapunov function methods. The chaotic Chua's circuit and Duffing oscillator are used as examples to illustrate the fundamental concepts and basic methodology employed by this unified Lyapunov approach, in both linear and non-linear controllers design, for the control of chaotic dynamics.
π SIMILAR VOLUMES
In this Letter, we propose the application of dither for controlling chaotic systems in Lur'e form. Dither is a high frequency periodic signal that can be used for stabilization of limit cycles in some type of nonlinear systems. We apply the dither to change some parameters of the system which may d
This paper investigates the chaos control problem for a general class of chaotic systems. A feedback controller is established to guarantee asymptotical stability of the chaotic systems based on the sliding mode control theory. A new reaching law is introduced to solve the chattering problem that is
The paper considers a single-mode CO2 laser that exhibits a cascade of period doubling bifurcations leading to chaos when it is driven by a sinusoidal signal of increasing amplitude. The requirement of a proper working of the laser, for relatively large amplitude of the forcing signal, naturally lea