Switched Linear Systems Control Design: A Transfer Function Approach

In this paper we develop a new control design procedure for continuous-time switched linear systems. Beyond the global stability, two performance indexes based on H∞ theory and passivity are considered. The proposed switching control design is entirely based on convex combinations of subsystems transfer functions. In this precise context a new min-type switching function depending on the state and input variables is introduced which opens the possibility to generalize the same ideas to obtain less conservative solutions to other control design problems of switched systems appearing in the literature. An illustrative example is solved and discussed.