Event-triggered Finite-time Extended Dissipative Control for a Class of Switched Nonlinear Systems via the T-S Fuzzy Mod
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ISSN:1598-6446 eISSN:2005-4092 http://www.springer.com/12555
Event-triggered Finite-time Extended Dissipative Control for a Class of Switched Nonlinear Systems via the T-S Fuzzy Model Hui Gao, Hongbin Zhang*, and Jianwei Xia Abstract: This paper foucuses on the study of finite-time extended dissipative control for a class of switched nonlinear systems. An event-triggered communication scheme is proposed to reduce the transmitted data of the system state. Sufficient conditions for finite-time extended dissipative control for the switched nonlinear systems are addressed, based on extended dissipative, we can solve the H∞ , L2 − L∞ , Passivity and (Q, S, R)-dissipativity performance at the same time. T-S fuzzy models are applied to represent the nonlinear subsystems. Linear matrix inequality techniques are used for the design of the fuzzy controller. Finally, numerical examples are presented. Keywords: Event-trigger, extended dissipative, finite-time, T-S fuzzy.
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INTRODUCTION
Switched system has attracted much attention in the past decades, which can be modeled by a class of discrete or continuous-time subsystems and a logical rule that orchestrates the switching among the subsystems. It has many practical applications, such as aircraft, traffic control, automotive industry and many other fields. Thus, many results on switched systems have been researched in [1–5]. In many practical systems, the existence of nonlinearity is inevitable. The Takagi-Sugeno (T-S) fuzzy model, which is well known that can effectively represent complex nonlinear systems approximately by fuzzy sets and fuzzy reasoning, also can be used to approximate switched nonlinear systems. As we all know, considerable research attention for fuzzy nonlinear systems focuses on Lyapunov asymptotic stability. However, in practice, the system behavior over a finite time interval is also of great importance, such as robot control systems, chemical processes and so on. Up to now, only few results about finitetime analysis of fuzzy nonlinear systems reported [6–11]. In general, the transmission of the state to the controller is usually continuous in time. However, in some cases, when the control objective is acheived, it is unnecessary to transmit the state every time when the system performance is maintained, which leads to the redundant transmission. To reduce the redundant data transmission, a so-called event-triggered scheme was proposed, which can reduce
the transmission resource efficiently. The event-triggered scheme has many advantages, it transmits the state data only when necessary. Recently, much work has been done to the event-triggered analysis and control [12–17]. Specially, distributed event-triggered estimation over sensor networks is surveyed in [12], distributed secondary control for active power sharing and frequency regulation in islanded microgrids using an event-triggered communication mechanism is studied in [13]. Event-triggered generalized dissipativity filtering for neural networks is investigated in [14]. The authors in [16] pr
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