Estabilização robusta não frágil de controladores LQR-LMI com alocação de polos

Abstract

The present study emphasizes the synthesis of Linear Quadratic Regulators (LQR) applied to linear systems with norm-bounded uncertainty models. The main objective is to establish new LMIs conditions, in order to guarantee the robust D-stability such that the transient response is achieved through classical LMIs restrictions. At concerns the reliability of the systems, a robust control design of high level must also take into account the precision of its controllers and, for that, the formulation of LMIs called non-fragile control, will be discussed. The mathematical analysis is based on the design (by state feedback) of the controller for the stabilizer of a power system, such that this device is able to operate under actuator failures. Finally, comparative analyzes with the literature will be based on regions of feasibility, practical applicability, and transient response of interest signals.