Transformed Parameter Dependent Sliding Mode Control for Discrete-Time LPV Systems

This brief addresses the problem of sliding mode control for Discrete-time Linear Parameter Varying (DTLPV) systems. In the DTLPV system, a plant includes a time-varying parameter that is measurable and bounded in magnitude. By utilizing the information of the parameter, the transformed parameter-dependent sliding mode controller (TPDSMC) is firstly proposed. The transformed parameter is obtained by scaling and biasing the parameter of the plant. To design the TPDSMC, the sufficient condition is derived by using the transformed parameter-dependent approach. The designed controller not only reduces the effect of disturbance but also provides better control performances when the scale of the transformed parameter decreases. In the numerical example, the mass-spring damper system is considered to provide the robustness and performance of the proposed method.