Optimal control for discrete-time NCSs with input delay and Markovian packet losses: Hold-input case. (October 2021)

• Record Type: Journal Article
• Authors: Li, Hongdan; Li, Xun; Zhang, Huanshui
• Is Part Of: Automatica. Volume 132(2021)
• Publication Date: 2021-10
• Subjects: Input delay -- Markovian packet losses -- Hold-input -- Stabilization; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109806
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the linear–quadratic optimal control problem for networked systems simultaneously with input delay and Markovian packet losses under hold-input compensation strategy, which is different from the literature. Necessary and sufficient conditions for the solvability of optimal control problem over a finite horizon are given by coupled difference Riccati-type equations. Moreover, the networked control system is mean-square stability if and only if coupled algebraic Riccati-type equations have a particular solution. Due to input delay and Markovian packet dropout, it leads to the failure of the separation principle, which is a fundamental obstacle. The key technique in this paper is to tackle forward and backward difference equations by decoupling.