Observer-Based Adaptive Fuzzy Tracking Control for a Class of Strict-Feedback Systems with Event-Triggered Strategy and
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Observer-Based Adaptive Fuzzy Tracking Control for a Class of Strict-Feedback Systems with Event-Triggered Strategy and Tan-type Barrier Lyapunov Function Chuang Gao1 • Xin Zhou1 • Xiaoping Liu2 • Yonghui Yang1 • Zhigang Li1
Received: 28 January 2020 / Revised: 1 July 2020 / Accepted: 20 August 2020 Ó Taiwan Fuzzy Systems Association 2020
Abstract In this paper, an observer-based adaptive fuzzy tracking control is considered for a class of strict-feedback nonlinear systems. The nonlinear functions and unmeasured states in the system are estimated by means of fuzzy logic systems and fuzzy state observers, respectively. In addition, the tan-type barrier Lyapunov specifies that the tracking error is limited to a given area. An improved event-triggered technique is introduced in the controller design to save the network resources and avoid the Zenobehavior. It is proven that the proposed controller can ensure that all the signals of the closed-loop system are uniformly and ultimately bounded. Finally, the simulation results verify the feasibility of the design scheme. Keywords Strict-feedback nonlinear systems Fuzzy observer Event-triggered control Prescribed performance Tan-type barrier Lyapunov function
& Zhigang Li [email protected] Chuang Gao [email protected] Xin Zhou [email protected] Xiaoping Liu [email protected] Yonghui Yang [email protected] 1
School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
2
Faculty of Engineering, Lakehead University, Thunder Bay ON P7B 5E1, Canada
1 Introduction In recent years, the event-triggered research has attracted important attentions in the study of nonlinear systems. The advantage of event-triggered control is to avoid an overusage of communication resources. Therefore, the relative works were carried out in [1–7]. The event-triggered control solves the problem of resource limitation by constructing an event-based sampling strategy. Some significant event-triggered strategies were proposed in [8–10]. In [8], an adaptive event-triggered control scheme was proposed by introducing a novel funnel function. An adaptive fuzzy controller was designed for a category of pure-feedback switched nonlinear systems in [9]. In [10], a systematic control scheme was given to balance the system performance and communication restrictions in a reasonable way. In the early 1990s, a technique named ‘‘backstepping’’ was presented to design adaptive controllers. This technique is a recursive solution based on Lyapunov theory for adaptive control problems of a class of strict-feedback systems. The traditional backstepping design was thoroughly proposed by Krstic et al., and an adaptive control approach was designed in [11] to ensure the asymptotic stability of a nonlinear system. After that, the adaptive backstepping method was proposed, which was a structural design approach to design control signals and adaptive laws [12]. Recently, it has been widely applied into many areas [13–18]. It is well known tha
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