Event-triggered Extended Dissipative Control for Networked Singular Systems
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ISSN:1598-6446 eISSN:2005-4092 http://www.springer.com/12555
Event-triggered Extended Dissipative Control for Networked Singular Systems Meiyu Li, Jianwei Xia*, Junsheng Zhao, Huasheng Zhang, and Hao Shen Abstract: In this paper, an event-triggered extended dissipative control problem for networked singular systems is investigated, where the extended dissipativity analysis unifies the H∞ performance, L2 − L∞ performance, passivity, (Q, S, R)-dissipativity in one framework. Under the event-triggered scheme, the closed-loop system is modeled as a time-delay system. Some sufficient conditions for extended dissipativity are developed and presented in terms of linear matrix inequalities (LMIs). Then the design of the state feedback controller becomes a matter of solving a set of LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. Keywords: Event-triggered scheme, extended dissipative, networked singular system, stability.
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INTRODUCTION
Singular systems are often found in engineering systems (such as electrical circuit network, aerospace engineering, and chemical processing), social systems, economic systems, biological systems, network analysis and the research results are very rich [1–3]. A more general form in modeling makes singular systems useful in dynamical systems analysis, which have also been referred as generalised systems, descriptor systems, implicit systems, differential-algebraic systems or semistate systems [4]. It should be pointed out that the problem for singular systems is much more complicated than that for regular systems, because singular systems usually have three types of modes, namely, finite-dynamic mode, impulse mode and non-dynamic mode, whereas the latter two do not appear in regular systems [5]. In recent years, due to rapid developments of computer science, communication technology, and automatic control, the networked control systems(NCSs) was proposed and widely utilized in many fields owing to the advantages of great flexibility, lower cost , installation, and easy maintenance [6–9]. Yet, in the network environment, will inevitably appear some unfavorable factor, such as networkinduced delay, limited broadband network and so on. In recent years, many scholars have put forward corresponding solutions to the problems in NCSs [10–14]. However, for some complex systems, such as some practical systems the Hopfield neural network model, the electric
power system model, and circuit systems model cannot be described by regular NCSs, it should be modeled as a singular system. Not only stability but also regularity and impulse immunity should be considered simultaneously. Therefore, more and more studies have been devoted to singular NCSs in recent years [15–18]. It is well known that the external disturbances affects the performance of system. The influence of external disturbances on the system can be reduced by introducing some performances, such that H∞ performance in [19,20], L2 − L∞ performance analysis in [21], passivity analysis in
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