Periodic Lyapunov equation based approach to semi-global almost disturbance decoupling of continuous-time periodic linear systems subject to input saturation

In this paper, semi-global disturbance decoupling and semi-global stability problem for continuous-time periodic linear systems with input saturation is investigated. Based on the controllability hypothesis of the periodic system matrix pair, a family of periodic linear state feedback laws are structured through the positive definite solutions to a class of periodic Riccati differential equations, whose solvability is ensured by recent research results. The proposed control laws are parametric and analytical, and thus are convenient to use in practice.