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

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.