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In this paper, we propose two controller design procedures using semi-definite programing (SDP) and quantifier elimination (QE), respectively. We consider to design controllers for a principal circuit... in a power supply unit as an example. In general, a controller design problem is given as a problem finding a controller that satisfies given specifications in the open-loop transfer function’s frequency characteristic.This is so-called an open-loop shaping problem in linear control theory. There exist some numerical methods for solving the problem using SDP. We propose an SDP-based controller design method via generalized Kalman-Yakubovich-Popov (GKYP) lemma. These SDP-based methods are effective for finding a feasible controller efficiently, but we cannot describe exact mathematical constraints for the required specifications by these methods. In order to obtain exact controller’s feasible regions for the required specifications, we describe the specifications as exact constraints formulated by sign definite conditions (SDCs) and solve them symbolically using QE.続きを見る
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