We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Adaptive fixed‐time tracking control for stochastic pure‐feedback nonlinear systems.
- Authors
Liang, Yanjun; Li, Yuan‐Xin; Hou, Zhongsheng
- Abstract
Summary: The article discusses the adaptive fixed‐time control problems for the stochastic pure‐feedback nonlinear systems. Different from the existing results, the priori information of unknown virtual control coefficients (UVCC) is no longer needed in this article, which is realized by emplying the bound estimation method and well‐defined smooth functions. A novel semi‐global practical fixed‐time stability criterion for the stochastic nonlinear systems is presented. Correspondingly, a new construction of Lyapunov function is proposed for the nonlinear stochastic system by adding the lower bounds of the UVCC. Based on the fuzzy logical system and fixed time stability theorem, a novel adaptive fuzzy fixed‐time tracking control algorithm for stochastic nonlinear system is raised firstly. By theoretical analysis, we can conclude that the whole variables of the controlled system are bounded almost surely and the output can track the desired reference signal to a very small compact set within a predefined fixed‐time interval. Finally, the raised method is illustrated by two simulation examples.
- Subjects
NONLINEAR systems; STOCHASTIC systems; PSYCHOLOGICAL feedback; SMOOTHNESS of functions; STABILITY criterion; ADAPTIVE control systems
- Publication
International Journal of Adaptive Control & Signal Processing, 2021, Vol 35, Issue 9, p1712
- ISSN
0890-6327
- Publication type
Article
- DOI
10.1002/acs.3285