Title :
Stability analysis and design of uniform ultimate boundedness control for a class of nonlinear switched systems
Author :
Aleksandrov, Alexander Yu ; Chen, Yangzhou ; Platonov, Alexey V. ; Zhang, Liguo
Author_Institution :
Fac. of Appl. Math., St. Petersburg State Univ., Petrodvorets, Russia
Abstract :
The problems of stability analysis and synthesis for a class of nonlinear switched systems are addressed in the paper. For arbitrary switching laws and any admissible nonlinear dynamical equations, sufficient linear inequalities conditions are investigated to make such systems are absolutely stable. Next, based on the constructive approach of the common Lyapunov function, a uniform ultimate boundedness controller is developed to guarantee the practical stability of the switched systems with the nonlinear and time-varying uncertain disturbance. A numerical example is given to demonstrate the efficiency of the proposed approach.
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; stability; time-varying systems; Lyapunov function; linear inequalities conditions; nonlinear dynamical equations; nonlinear switched systems; stability analysis; time-varying uncertain disturbance; uniform ultimate boundedness control design; Asymptotic stability; Control system synthesis; Control systems; Intelligent control; Lyapunov method; Nonlinear control systems; Nonlinear equations; Stability analysis; Switched systems; Uncertainty;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
Saint Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281137
