Title :
Further results on adaptive stabilization for a class of uncertain stochastic nonlinear systems
Author :
Zhang Jian ; Liu Yungang ; Mu Xiaowu
Author_Institution :
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
Abstract :
This paper concerns the global adaptive stabilization for a class of uncertain stochastic nonlinear systems. Comparing with the existing literature, the systems under investigation are somewhat general, and allow more unknowns/uncertainties in the inverse dynamics and the system nonlinearities. Quite differently, with the help of skillfully selecting an unknown parameter, we develop an improved adaptive control design scheme to stabilize the system. The main feature of the design scheme is that the dimensional of dynamic compensator is remarkably reduced from n to 2, and hence this considerably allays the overparametrization in the existing literature. It is worthy of pointing out that, the new controller can guarantee all the resulting closed-loop system states are global bounded and the original system states converge to the origin, both with probability one.
Keywords :
adaptive control; closed loop systems; compensation; control nonlinearities; control system synthesis; nonlinear control systems; probability; stability; stochastic systems; uncertain systems; closed-loop system; dynamic compensator; global adaptive stabilization; improved adaptive control design scheme; inverse dynamics; probability; system nonlinearities; uncertain stochastic nonlinear systems; unknown parameter selection; Adaptive systems; Closed loop systems; Control design; Educational institutions; Nonlinear dynamical systems; Stability analysis; Adding a Power Integrator; Global Adaptive Stabilization; High-order Stochastic Nonlinear Systems; Stochastic Integral Input-to-State Stable;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an