Fast control optimization for switched linear systems based on harmony search algorithm

In this paper, we consider fast control optimization for switched linear systems based on Harmony Search algorithm. A necessary and sufficient condition for the asymptotical stability of switched linear systems via a special periodic switching, i.e., equal-time-interval switching, is derived. The conclusion is then extended to a more general class of periodic switched linear systems based on the convex combination conditions. The performance index of fast control for periodic switching law designing is employed, and Harmony Search algorithm is presented to address the related optimization problem under the premise of quadratic stability. Thus the fast control objective for periodic switched linear systems can be achieved. This makes the switching law designing become relatively simple. Finally, the simulation results demonstrate the effectiveness of the proposed approach.