Almost Output Regulation of Switched Affine Systems and Its Application to a Circuit Model

Abstract

This brief is concerned with the almost output regulation issue of switched affine systems. For switched affine systems, affine terms make the absence of the common equilibrium point, which also brings the distinct and difficulty on the analysis of output regulation performance. Moreover, in contract to the classical output regulation problem, a more extensive situation where the controlled plant and exosystem suffer from the unknown external interferences is concerned. Accordingly, the concept of the almost output regulation problem of switched affine systems is presented. Then, the co-design method of the switching law and regulators is established to guarantee the almost output regulation property. The given co-design method gets ride of the requirement for the almost output regulation performance of each subsystem. At last, the employed electronic circuit model substantiates the applicability and validity of the developed results.