A Sequential Design Approach for Switching ℌ∞ LPV Control

Autor: Sean Shan-Min Swei, Tianyi He, Guoming G. Zhu
Rok vydání: 2021
Předmět:
Zdroj: International Journal of Control, Automation and Systems. 19:3354-3367
ISSN: 2005-4092
1598-6446
Popis: 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.
Databáze: OpenAIRE
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