A Sequential Design Approach for Switching H∞ LPV Control

This paper proposes a sequential design scheme for switching H-infinity LPV (Linear Parameter-Varying) control, aiming to reduce the computational complexity of the associated optimization problem. Different from the traditional approach that simultaneously designs switching LPV controllers and solves a high-dimensional optimization problem, the proposed sequential design approach renders a bundle of low-dimensional optimization problems to be solved iteratively. Individual H-infinity LPV controller for each subregion is synthesized by independent PLMIs (Parametric Linear Matrix Inequalities) to guarantee H-infinity performance, and controller variables are interpolated on the overlapped subregions such that the H-infinity performance is also guaranteed on the overlapped subregion. Numerical examples are used to demonstrate the effectiveness of this method to reduce the computational load in each design iteration and improved H-infinity performance over the conventional simultaneous design method with well-tuned interpolation coefficient.