Improving Transient Response of a Class of Switched Linear Systems*

Abstract

A switched system is composed by continuous dynamics, logic dynamics, and the interaction between them. For the general class of controllable and reversible discrete-time switched linear control systems, this work presents a computational design scheme that could optimize the transient response in terms of state overshoot and settling time. The scheme is based on a two-step optimization: the first is to design the deadbeat feedback gain matrices by exhaust searching the controllability switching realizations, and the second is to optimize the feedback gain matrices by random perturbations. A numerical example is presented to show the effectiveness of the proposed design scheme.