Title :
Stabilization of random nonlinear systems with unmodeled dynamics
Author :
Jinfeng Zhang ; Mingyue Cui ; Zhaojing Wu
Author_Institution :
Sch. of Math. & Informational Sci., Yantai Univ., Yantai, China
Abstract :
A class of nonlinear systems described by random differential equations (RDEs) in the presence of unmodeled dynamics are considered in this paper. Under the assumption of unmodeled dynamics having enough stability margin, a feedback stabilization controller is consecutively designed by backstepping method and separation technique. The method of ordinary differential equations is used to analyze the stability of the closed-loop system. It is shown that the closed-loop system is noise-to-state stable in probability (NSS-P) and the system can be stabilized in some sense. Finally, a simulation example is used to illustrate the validity of our results.
Keywords :
closed loop systems; differential equations; feedback; nonlinear control systems; probability; stability; NSS-P; RDE; backstepping method; closed-loop system; feedback stabilization controller; noise-to-state stable in probability; ordinary differential equations; random differential equations; random nonlinear systems; separation technique; stability margin; unmodeled dynamics; Backstepping; Closed loop systems; Differential equations; Nonlinear dynamical systems; Stability analysis; Stochastic processes; Random differential equations; backstepping; stabilization; unmodeled dynamics;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162731
