Title :
Construction of a Lyapunov Function for Nonlinear Cascaded Systems with Dynamic Uncertainties
Author :
Chen, Zhiyong ; Huang, Jie
Author_Institution :
Sch. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou
Abstract :
The global robust stabilization problem of cascaded systems with dynamic uncertainties has been approached by the small gain theorem. This method, however, does not produce an explicit Lyapunov function for the closed-loop system. In this paper, we develop a Lyapunov direct method based recursive approach to solve the global robust stabilization problem for the said systems. This method is not only more straightforward than the small gain method, but also produces an explicit Lyapunov function for the closed-loop systems. The Lyapunov function is indispensable when the adaptive control of the same class of systems is further considered
Keywords :
Lyapunov methods; adaptive control; cascade systems; closed loop systems; nonlinear control systems; stability; uncertain systems; Lyapunov direct method based recursive approach; adaptive control; closed-loop system; dynamic uncertainties; explicit Lyapunov function; global robust stabilization problem; nonlinear cascaded systems; small gain theorem; Adaptive control; Automation; Control systems; Councils; Feedback control; Lyapunov method; Nonlinear dynamical systems; Robustness; State feedback; Uncertainty;
Conference_Titel :
Networking, Sensing and Control, 2006. ICNSC '06. Proceedings of the 2006 IEEE International Conference on
Conference_Location :
Ft. Lauderdale, FL
Print_ISBN :
1-4244-0065-1
DOI :
10.1109/ICNSC.2006.1673174