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A variable structure model reference robust control without a prior knowledge of high frequency gain sign
Authors:Lin Yan [Author Vitae]  Liu Hsu [Author Vitae] [Author Vitae]  Fernando Lizarralde [Author Vitae]
Affiliation:a School of Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
b Department of Electrical Engineering, COPPE/UFRJ. P.O. Box 68540, Rio de Janeiro, Brazil
Abstract:The design of a variable structure model reference robust control without a prior knowledge of high frequency gain sign is presented. Based on an appropriate monitoring function, a switching scheme for some control signals is proposed. It is shown that after a finite number of switching, the tracking error converges to zero at least exponentially for plants with relative degree one or converges exponentially to a small residual set for plants with higher relative degree, and the input disturbance can be completely rejected without affecting the tracking performance.
Keywords:Variable structure control   High frequency gain   Model following   Switching control   Nussbaum function
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