Non‐Fragile Observer‐Based
Control for Uncertain Neutral‐Type Systems via Sliding Mode Technique |
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| Authors: | Zhen Liu Cunchen Gao Huimin Xiao Yonggui Kao |
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| Affiliation: | 1. School of Mathematical Sciences, Ocean University of China, Qingdao, China;2. Institute for Sustainable Manufacturing and Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY, USA;3. Institute of Information and Systems Engineering, Henan University of Finance and Economics, Zhengzhou, China;4. Department of Mathematics, Harbin Institute of Technology, Weihai, China |
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| Abstract: | This paper is concerned with the problem of observer‐based  control for a class of uncertain neutral‐type systems subjected to external disturbance by utilizing sliding mode technique. A novel sliding mode control (SMC) strategy is proposed based on the state estimate and the output. A new sufficient condition of robust asymptotic stability with  disturbance attenuation level for the overall systems composed of the original system and error system in the sliding mode is derived in terms of a linear matrix inequality (LMI). Then, a new adaptive controller is designed to guarantee the reachability of the predefined sliding surface in finite‐time. Finally, numerical examples are provided to verify the effectiveness of the proposed method. |
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| Keywords: | Adaptive sliding mode control
control neutral systems observer design linear matrix inequality |
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control for a class of uncertain neutral‐type systems subjected to external disturbance by utilizing sliding mode technique. A novel sliding mode control (SMC) strategy is proposed based on the state estimate and the output. A new sufficient condition of robust asymptotic stability with 
disturbance attenuation level for the overall systems composed of the original system and error system in the sliding mode is derived in terms of a linear matrix inequality (LMI). Then, a new adaptive controller is designed to guarantee the reachability of the predefined sliding surface in finite‐time. Finally, numerical examples are provided to verify the effectiveness of the proposed method.