Mean-square stabilizability via output feedback for a non-minimum phase networked feedback system. (July 2019)

• Record Type: Journal Article
• Authors: Lu, Jieying; Su, Weizhou; Wu, Yilin; Fu, Minyue; Chen, Jie
• Is Part Of: Automatica. Volume 105(2019)
• Page Start: 142
• Page End: 148
• Publication Date: 2019-07
• Subjects: Networked control system -- Output feedback -- Mean-square stabilization -- Non-minimum phase zero; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.03.001
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This work studies mean-square stabilizability via output feedback for a networked linear time invariant (LTI) feedback system with a non-minimum phase plant. In the feedback system, the control signals are transmitted to the plant over a set of parallel communication channels with possible packet dropout. Our goal is to analytically describe intrinsic constraints among channel packet dropout probabilities and the plant's characteristics in the mean-square stabilizability of the system. It turns out that this is a very hard problem. Here, we focus on the case in which the plant has relative degree one and each non-minimum zero of the plant is only associated with one of control input channels. Then, the admissible region of packet dropout probabilities in the mean-square stabilizability of the system is obtained. Moreover, a set of hyper-rectangles in this region is presented in terms of the plant's non-minimum phase zeros, unstable poles and Wonham decomposition forms which is related to the structure of controllable subspace of the plant. A numerical example is presented to illustrate the fundamental constraints in the mean-square stabilizability of the networked system.