Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1221.93049
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
Sliding mode control for chaotic systems based on LMI. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1410-1417 (2009). ISSN 1007-5704

Summary: We investigate 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 produced by traditional sliding mode control. A dynamic compensator is designed to improve the performance of the closed-loop system in sliding mode, and its parameter is obtained from a linear matrix inequality (LMI). Simulation results for the well known Chua's circuit and Lorenz chaotic system are provided to illustrate the effectiveness of the proposed scheme.

MSC 2000:: *93B12 Variable structure systems
37D45 Strange attractors, chaotic dynamics
34H10
93B52 Feedback control

Keywords: chaos control; sliding mode; dynamic compensator; linear matrix inequality (LMI)

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]