ℋ∞ control for asynchronously switched linear parameter-varying systems with mode-dependent average dwell time

Abstract

This study is concerned with the stability, l2-gain analysis and ℋ∞ control for a class of discrete-time switched linear parameter-varying systems with both mode-dependent average dwell time (MDADT) and asynchronous switching, where 'asynchronous' means the switching of controllers has a lag to the switching of system modes. The l2-gain for general switched systems with MDADT in non-linear setting is firstly derived. Based on the obtained results, the problem of asynchronous ℋ∞ control for the studied systems is formulated under the framework of MDADT switching logic, and the conditions for the existence of admissible asynchronous ℋ∞ controllers are deduced in the form of parameterised linear matrix inequalities. A numerical example is provided to verify the effectiveness of the acquired results. © The Institution of Engineering and Technology 2013.