Discretization of Continuous-time Systems with Input Delays

作     者：ZENG Li HU Guang-Da 

作者机构：Department of Electronics and Information Engineering School of Information Engineering University of Science and Technology Beijing Beijing 100083 P. R. China 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2010年第36卷第10期

页      面：1426-1431页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 0711[理学-系统科学] 07[理学] 08[工学] 081104[工学-模式识别与智能系统] 0835[工学-软件工程] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

主　　题：自动化系统 系统稳定性 研究 发展 

摘      要：In this paper, the Runge-Kutta (RK) method, which involves the polynomial interpolation is adopted to discretize continuous-time systems with input delay. The proposed scheme is an efficient and higher-order approach compared with conventional discretizing methods. The accuracy of the proposed conversion scheme is closely related to the order of RK as well as that of the polynomial interpolation. Both the approximate order and the maximal attainable order of the discretization are discussed. In addition, the input-to-state stability of the scheme is analyzed. In order to guarantee the stability of the corresponding discrete system, the sampling time can be chosen by investigating the absolute stability region of the RK method. Especially, when the RK method is A-stable, the sampling time can be selected without being constrained by stability considerations. A numerical experiment is provided to demonstrate the superior performance of the method