Abstract
This paper deals with the event-triggered dissipative filtering problem for semi-Markovian jump systems with time-varying delays. The purpose is to design a filter which guarantees that the filtering error system is not only stochastically stable but also satisfies dissipativity. First, based on Lyapunov–Krasovskii theory and matrix integral inequality, a sufficient condition is established for the existence of such a filter. Then, the codesign method of event-triggered matrices and the desired filter parameters is proposed. Finally, two numerical examples are given to illustrate the advantages and validity of the scheme developed in this paper.
Highlights
Over the past decades, Markovian jump systems (MJSs) have attracted significant attention by the research community mainly due to the fact that they have a powerful framework to model practical systems, such as economy [1], robotics [2], mechanics [3], and solar thermal receivers [4]
As a consequence, increasing attention has been devoted to studying of semi-Markovian jump systems (SMJSs) with time delays
In the case, when the actuator or sensor failures appear in the SMJSs, the reliable controller or filter was designed for delayed SMJSs in [26, 27], respectively
Summary
Markovian jump systems (MJSs) have attracted significant attention by the research community mainly due to the fact that they have a powerful framework to model practical systems, such as economy [1], robotics [2], mechanics [3], and solar thermal receivers [4]. In the case of discrete-time systems, an H∞ filter was designed in [38] for a class of semi-Markovian jumping neural networks, where the quantized measurements was used in order to save the network resource, the dissipative filtering problem for SMJSs was discussed in [39], where timevarying delays were not be considered. Based on the above mentioned discussions, this paper considers the dissipative filter design problem for SMJSs with time-varying delays by using the event-triggered scheme. E main contributions of this paper can be highlighted as follows: (1) the dissipative filter design problem for SMJSs in the presence of time-varying delays is investigated by applying the event-triggered scheme. If not explicitly stated are assumed to be compatible for algebraic operations
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