title: Trade-off performance analysis of LTI system with channel energy constraint.
abstract: In this paper, the trade-off performance between tracking error, control input energy and channel input power is studied. By modelling the communication channel as the additive coloured Gaussian noise channel (ACGN) with limited bandwidth, a new performance index is proposed and minimized over all stabilizing two-degree-of-freedom controllers. The results show that the trade-off performance is correlated to the intrinsic characteristics of the plant, including the locations and directions of the unstable pole, non-minimum phase zero. However it is unrelated to the non-minimum phase zeros of filter because of the two-degree-of-freedom controller. We also demonstrated that ACGN may degenerate the tracking performance. Finally, a typical example is given to validate the theoretical results.
authors.affiliation: College of Science, China Three Gorges University, Yichang 443002, PR China.
authors.forename: Baoxian
authors.initials: B
authors.lastname: Wang
authors.affiliation: College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China. Electronic address: jxw07045136@126.com.
authors.forename: Xiaowei
authors.initials: X
authors.lastname: Jiang
authors.affiliation: School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, PR China.
authors.forename: Chaoyang
authors.initials: C
authors.lastname: Chen
keywords: Channel energy constraint; Control energy; Gaussian noise; Optimal performance