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Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter

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【Author】 Chai Lin1,2, Cheng Ming2, Fei Shumin1 & Zhai Junyong1 1. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, School of Automation, Southeast Univ., Nanjing 210096, P. R. China; 2. School of electrics, Southeast Univ., Nanjing 210096, P. R. China

【摘要】 The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent suffcient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.

【Abstract】 The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent suffcient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.

【基金】 supported by the National Natural Science Foundation of China (60574006; 60804017; 608350017);the Foundation of Doctor(20060286039);the Jiangsu Provincal Sustentation Fund of Recruiting Post Doctor(1660631171)
  • 【文献出处】 Journal of Systems Engineering and Electronics ,系统工程与电子技术(英文版) , 编辑部邮箱 ,2009年01期
  • 【分类号】TP13
  • 【被引频次】2
  • 【下载频次】69
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