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- Title
Funnel‐like prescribed tracking control for uncertain nonlinear stochastic switched systems.
- Authors
Li, Kuo; Hua, Changchun; Guan, Xinping
- Abstract
Summary: This paper deals with the funnel‐like prescribed tracking control problem for a class of uncertain nonlinear stochastic switched systems. An improved performance technique is developed to restrain the fluctuation at the moment of switches and a new algorithm is proposed to address the funnel‐like prescribed tracking problem. First, a dynamic gain‐based switched K‐filter is constructed to estimate the unmeasured state information of the switched system. Subsequently, the performance technique is applied to prescribe output tracking error and restrain fluctuations of the system. Thereafter, the dynamic output feedback switched controller is designed by the use of the backstepping method. Moreover, based on the Lyapunov stability theory, it is proved strictly that all signals of the resulting closed‐loop system are bounded in probability if the switching signal satisfies the average dwell time. Finally, a numerical simulation is presented to illustrate the effectiveness of the proposed theoretical results.
- Subjects
STOCHASTIC systems; TRACKING control systems; STABILITY theory; LYAPUNOV stability; CLOSED loop systems; INFORMATION storage &; retrieval systems
- Publication
International Journal of Robust & Nonlinear Control, 2019, Vol 29, Issue 12, p3936
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.4591