Almost output tracking control for switched positive systems: A hysteresis switching strategy

Abstract

AbstractThis work studies the almost output tracking control problem via the co‐design of controllers and a switching strategy for switched positive systems. For devising a hysteresis switching strategy, the nonnegative state space is divided into some subdomains, where each subdomain corresponds to an activated subsystem. The main advantage of the proposed methodology is that the switching frequency can be reduced in contrast to the min‐switching based designs, and the almost output tracking control problem is allowed to be unsolvable for each subsystem. The almost output tracking criteria, based on multiple linear copositive Lyapunov functions are established in linear vector inequalities form, which ensures asymptotic convergence of the output tracking error to zero, the positivity as well as a prescribed ‐gain index in presence of disturbances. Finally, the theoretical findings are applied to the output tracking control of the boost converter circuit.