Abstract
AbstractThis paper is dedicated to neural networks-based adaptive finite-time control design of switched nonlinear systems in the time-varying domain. More specifically, by employing the approximation ability of neural networks system, an integrated adaptive controller is constructed. The main aim is to make sure the closed-loop system in arbitrary switching signals is semi-global practical finite-time stable (SGPFS). A backstepping design with a common Lyapunov function is proposed. Unlike some existing control schemes with actuator failures, the key is dealing with the time-varying fault-tolerant job for the switched system. It is also proved that all signals in the system are bounded and the tracking error can converge in a small field of the origin in finite time. A practical example is presented to illustrate the validity of the theory.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference51 articles.
1. Liu, X., Li, Y., Zhang, W.: Stochastic linear quadratic optimal control with constraint for discrete-time systems. Appl. Math. Comput. 228, 264–270 (2004)
2. Wang, Y., Pan, Z., Li, Y., Zhang, W.: $H_{\infty}$ control for nonlinear stochastic Markov systems with time-delay and multiplicative noise. J. Syst. Sci. Complex. 30(6), 1–23 (2017)
3. Chang, Z., Meng, X., Zhang, T.: A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise. Appl. Math. Lett. 87, 80–86 (2019)
4. Zhang, Y., Zhao, M., Su, J., Lu, X., Lv, K.: Novel model for cascading failure based on degree strength and its application in directed gene logic networks. Comput. Math. Methods Med. 2018, Article ID 8950794 (2018)
5. Liu, X., Li, Y., Li, Y.: Adaptive tracking control for a class of uncertain switched stochastic nonlinear systems. Adv. Differ. Equ. 2019(33), 33 (2019)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献