Event-triggered Reduced-order H∞ Filter Synthesis of Discrete-time Uncertain Switched Systems

It deals with event-triggered reduced-order H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter synthesis of discrete-time uncertain switched systems. It is considered norm-bounded uncertainties affecting the uncertain switched systems' behavior. An event-triggered strategy is firstly specified to identify whether information of the uncertain switched system is transmitted or not. Then, a reduced-order H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter is designed ground on outputs of the proposed event-triggered strategy. And utilizing the merging switching signal technique, a switched filtering error system is modeled by the uncertain switched system and reduced-order H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter. Subsequently, some sufficient critera are presented to guarantee that the switched filtering error system is exponentially stable with a weighted H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance. A design method is also given for the reduced-order H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter. Finally, the validity and feasibility of this study is illustrated by a practical example.