Iterative learning control design for uncertain time-delay systems by generalized KYP synthesis
作者单位：Institute of Control and Computation Engineering University of Zielona Góra Department of Electronics and Computer Science University of Southampton Key Laboratory of Advanced Process Control for Light Industry of Ministry of EducationJiangnan University
会议名称：《第37届中国控制会议》
会议日期：2018年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported by National Science Centre in Poland under grant No.2015/17/B/ST7/03703
关 键 词：Iterative learning control time-delay systems polytopic uncertainty finite frequency domain
摘 要：This paper deals with the problem of designing an iterative learning control scheme for uncertain time-delay systems using differential repetitive process stability theory. The resulting design produces a stabilizing feedback controller in the time domain and a feedforward controller that guarantees monotonic convergence in the trial-to-trial domain for all admissible uncertainties. The design procedures are delay dependent since the obtained results depend on the size of state delay and are also extended to limited frequency range design specification. A new design procedure is developed in terms of linear matrix inequalities, which guarantee prescribed performance specifications. Finally, a simulation example is given to illustrate the application of the new results.