Guaranteed performance control of switched positive systems: A switching policy design method

Abstract

In this article, a state-dependent switching policy for handling the guaranteed performance control problem, by means of the partition of the nonnegative state space, for switched positive systems, is devised. The mixed performance, induced by the linear guaranteed cost and L1-gain performance for disturbance attenuation, is investigated. A corresponding optimization problem devoting to the mixed performance is considered, including an upper bound of linear guaranteed cost and an L1-gain performance. Moreover, sufficient conditions are also established by the joint design of switching rules and controllers to ensure the positivity and mixed performance of the closed-loop systems. Eventually, two examples are used to illustrate the validness and practicability of the developed results.