A Parameter Dependent Controller Design Approach for Delayed LPV System |
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Authors: | Hai Yin Jinwu Gao Zhiyuan Liu |
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Affiliation: | 1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China;2. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun, China |
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Abstract: | This paper investigates the memory state feedback controller synthesis problem for linear parameter‐varying (LPV) systems with time‐varying input delay. A novel state transformation is proposed to reduce the influence of time delay, and two types of Lyapunov‐Krasovskii functional are employed to guarantee the stability of the closed‐loop system and induced L2 norm performance. The controller gain is formulated to parameter dependent, and design method is then led to a convex optimization problem and solved by parameter gridding technique. A numerical example is provided to validate the effectiveness of the proposed approach. |
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Keywords: | Parameter dependent controller memory controller delayed LPV system Lyapunov‐Krasovskii functional |
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