| In this dissertation, a practical control design method for linear periodically time varying systems is presented. The method is based on parametrization of control, and obtaining an equivalent discrete-time control system via a point-mapping computational algorithm. The design method simplifies the design procedure, and guarantees asymptotic stability of the closed loop system. In addition, the designed controllers can directly be implemented digitally. Moreover, it is shown that the method can easily be applied to various control configurations, as well as multi-rate configurations. The design method is then extended for analysis of robustness of the control design with respect to plant parametric uncertainties. This is achieved by computation of approximate discrete time dynamics of the perturbed system by truncated point-mappings. By computing an upper norm bound on the error due truncated approximations, the robustness analysis of the system due to parametric uncertainties is formulated as a discrete time structured singular value problem. Simulation studies with mathematical models as well as engineering application models, show good performance of the control system design method and demonstrate the ability of the extension of the method to assess the robustness of the closed-loop system to parametric uncertainties. |
