Controller Synthesis Based on Generalized KYP Lemma Combined with H_∞ Method and Embedded Model Matching

Abstract

This paper presents the new method for controller design. It is based on Generalized Kalman-Yakubovich-Popov (GKYP) lemma which provides a unified LMI characterization for finite frequency range properties of dynamic system. Firstly, we will represent the restriction of controller synthesis using GKYP lemma, then propose the new method for controller synthesis based on GKYP lemma combined with H_∞ method in order to make up for restriction of GKYP lemma based controller synthesis. Then we will present the design example of ALFLEX longitudinal controller and confirm the character and effectiveness of our method. Furthermore, we will propose the Embedded Model Matching method which realizes the desired response with a small precompensator.