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A Sequential Design Approach for Switching H∞ LPV Control

Tianyi He, Guoming G. Zhu*, and Sean S. M. Swei
International Journal of Control, Automation, and Systems, vol. 19, no. 10, pp.3354-3367, 2021

Abstract : This paper proposes a sequential design scheme for switching H∞ 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∞ LPV controller for each subregion is synthesized by independent PLMIs (Parametric Linear Matrix Inequalities) to guarantee H∞ performance, and controller variables are interpolated on the overlapped subregions such that the H∞ 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∞ performance over the conventional simultaneous design method with well-tuned interpolation coefficient.

Keyword : Interpolated controller, PLMI, switching LPV control, synthesis complexity.

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