Event-triggered observer-based H∞ control of switched linear systems with time-varying delay

This paper is devoted to study the issue of event-triggered observer-based H-infinity control of switched linear systems subject to time-varying state delay and exogenous disturbance. Firstly, an observer-based event-triggered controller is provided under the proposed event-triggered mechanism. Then, based on the average dwell time scheme and Jensen's Inequality technique, delay-dependent less conservative sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are obtained to guarantee the resulting augmented switched systems is exponential stabilisation and satisfies a prescribed H-infinity control performance. Furthermore, observer-based event-triggered controller is designed, and it is shown that there exists a positive lower bound of inter-event intervals. Finally, numerical example and comparison results are provided to illustrate the effectiveness and advantages of the proposed method.

Automated summary

This paper studies the event-triggered observer-based H-infinity control of switched linear systems with time-varying state delay and exogenous disturbance. The proposed method uses average dwell time scheme and Jensen's Inequality technique to obtain less conservative sufficient conditions in terms of LMIs for exponential stabilisation and desired H-infinity control performance. Numerical examples and comparison results demonstrate the effectiveness and advantages of the proposed approach.