Successive Pole Shifting using Sampled-data LQ Regulators
Abstract
Design of sampled-data control systems is considered, where the closed-loop poles of the discretized system are shifted in a successive manner, in order to achieve a desired overall pole allocation. Modal extraction and the LQ optimal regulator for sampled-data systems are employed in each step of the pole shifting operation, using both continuous-time and discrete-time representation of the controlled plant and the performance index. Unfortunately, the optimality of the overall closed-loop system cannot be guaranteed. However, the performance index in each step can be utilized as a guide for choosing reasonable location of the closed-loop poles from practical point of view.
