ℋ∞ Control for Nonlinear Switched Systems with Mixed Time-Varying Delays Based on Dynamic Event-Triggered Scheme and Average Dwell Time Method

Abstract

This paper is concerned with the dynamic event-triggered ℋ <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control problem on nonlinear switched systems with mixed time-varying delays and external disturbance. Firstly, a novel dynamic event-triggered scheme is applied to effectively reduce the number of the signal transmission and relieve the transmission load. Secondly, by utilizing the Lyapunov functional approach and average dwell time method, some sufficient conditions for the ℋ <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance of the nonlinear delayed switched systems with exogenous disturbance are derived. Furtheremore, the dynamic state-feedback controller gains are obtained. Lastly, a simulation example is given to demonstrate the feasibility and effectiveness of the proposed method.