An Integrated Design of Structural and Gain Scheduled Control Systems

Abstract

We deal with an integrated design problem of structural and gain scheduled control systems for LPV systems. The integrated design problem is formulated as an optimization problem of structural design parameters and a gain scheduled controller minimizing L2 gain of the closed-loop system. Even in the simplest case the integrated design problem is represented as a BMI problem which cannot be solved exactly and efficiently. In the present paper we propose an iterative LMI-based method to solve the formulated optimization problem approximately. We can guarantee the local convergence of the closed-loop L2 gain with the proposed design algorithm even if the coefficient matrices of the state-space form of the control object are nonlinear functions on the structural design parameters. We show the effectiveness of the proposed design method through a design example.