Set stability of controlled Chua’s circuit under a non-smooth controller with the absolute value

Autor:	Qi-Shao Lu, Shi-Hui Fu
Rok vydání:	2014
Předmět:	Equilibrium point Chua's circuit business.industry Feedback control Robotics Invariant (physics) Mechatronics Non smooth Computer Science Applications Nonlinear Sciences::Chaotic Dynamics Control and Systems Engineering Control theory Vector field Artificial intelligence business Mathematics
Zdroj:	International Journal of Control, Automation and Systems. 12:507-517
ISSN:	2005-4092 1598-6446
DOI:	10.1007/s12555-013-0372-6
Popis:	Chua’s circuit is a typical system with the piecewise-smooth vector field via the absolute value. A new piecewise-linear feedback control scheme with the absolute value is introduced to realize stabilization of sets of the controlled Chua’s circuit. The equilibrium sets and the global asymptotical stability with respect to several invariant sets, which may consist of both admissible and boundary equilibrium points or equilibrium manifolds, are investigated for the controlled Chua’s circuit system. The non-smooth controller has a simple structure and available control properties, and it is easy to be applied in engineering practice. It is shown by numerical simulations that this controller can effectively realize chaos control and stabilization of equilibrium states.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b11e62eb17ad96fbd87b3cd6a63a358c https://doi.org/10.1007/s12555-013-0372-6 Zobrazit plný text záznamu Full text from SpringerLink