Lower bound of tracking performance with finite control energy and channel energy constraint

作     者：Baoxian WANG Zhihong GUAN Fushun YUAN Xisheng ZHAN 

作者机构：College of Automation Huazhong University of Science and Technology School of Mathematics and Statistics Anyang Normal University College of Mechatronics and Control Engineering Hubei Normal University 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2013年第11卷第3期

页      面：409-414页

核心收录：

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：partially supported by the National Natural Science Foundation of China (Nos. 61073025  61073065  61100076  61170024  61272114) 

主　　题：Optimal performance Control energy Channel energy constraint Gaussian noise 

摘      要：This paper studies the tracking performance of the single-input single-output （SISO）, finite dimensional, linear and time-invariant （LTI） system over an additive white Gaussian noise （AWGN） channel with finite control energy and channel input energy constraint. A new performance index is proposed which is minimized over all stabilizing two-degree-of-freedom controllers. The explicit expressions of the lower bound of the tracking performance and the minimum of signal-to-noise required are obtained. The results show that the lower bound is correlated to the unstable pole, nonminimum phase zero and the channel scaling factor. Finally, one example is given to validate the conclusions by adopting the special inner-outer factorization.