Trade-off performance analysis of LTI system with channel energy constraint

Baoxian Wang; Xiaowei Jiang; Chaoyang Chen

doi:10.1016/j.isatra.2016.07.001

Trade-off performance analysis of LTI system with channel energy constraint

ISA Trans. 2016 Nov:65:88-95. doi: 10.1016/j.isatra.2016.07.001. Epub 2016 Jul 27.

Authors

Baoxian Wang¹, Xiaowei Jiang², Chaoyang Chen³

Affiliations

¹ College of Science, China Three Gorges University, Yichang 443002, PR China.
² College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China. Electronic address: jxw07045136@126.com.
³ School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, PR China.

PMID: 27473213
DOI: 10.1016/j.isatra.2016.07.001

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.

Keywords: Channel energy constraint; Control energy; Gaussian noise; Optimal performance.