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

• Published in: 2015 34th Chinese Control Conference (CCC) pp. 166 - 170
• Main Authors: Cai, Guang-Bin, Lv, Ling-Ling, He, Hua-Feng, Zhou, Tao
• Format: Conference Proceeding Journal Article
• Language: English
• Published: Technical Committee on Control Theory, Chinese Association of Automation 01.07.2015
• Subjects: Additives; Closed loop systems; Conferences; continuous-time periodic linear(CPL) system; Controllability; Decoupling; Differential equations; Disturbances; input saturation; Linear systems; Mathematical analysis; Nonlinear systems; periodic Riccati differential equation; Saturation; semi-global almost disturbance decoupling; semi-global stability; Stability analysis; State feedback
• ISSN: 1934-1768
• DOI: 10.1109/ChiCC.2015.7259632

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.