Almost Output Regulation for Switched Positive Systems With Different Coordinates Transformations and its Application to a Positive Circuit Model

摘要

In this article, the issue of almost output regulation for continuous-time switched positive systems is investigated. We take into consideration the different coordinates transformations in which the subsystems are switched corresponding to the individual coordinate system. A new design scheme is firstly proposed in this manner. Furthermore, each group of the regulator equations has its own solution. Two types of control strategies, including a state feedback law and an error feedback law, are adopted. In contrast to the nominal output regulation problem, we consider the case where an unknown external disturbance affects the systems and the exogenous systems. Therefore, a concept of the almost output regulation for the considered systems is proposed. Then, all tractable conditions guaranteeing the solvability of the addressed problem are presented in terms of linear matrix equalities as well as linear vector inequalities by means of the constructed multiple linear copositive Lyapunov functions. A positive circuit is finally used to illustrate the applicability and availability of the developed theoretical findings.