Robust Output Regulation Problem for Discrete-Time Linear Systems with Both Input and Communication Delays

• Published in: Journal of systems science and complexity 2017-02, Vol.30 (1), p.68-85
• Main Authors: Yan, Yamin, Huang, Jie
• Format: Article
• Language: English
• Subjects: Communication; Complex Systems; Continuous time systems; Control; Discrete time systems; Linear systems; Mathematical analysis; Mathematics; Mathematics and Statistics; Mathematics of Computing; Matrix methods; Operations Research/Decision Theory; Robustness; Statistics; Systems Theory; Time delay systems; 离散时滞系统; 离散时间系统; 离散线性系统; 输入; 输出调节; 连续时间系统; 通信时延; 鲁棒
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-017-6151-3

Recently, the robust output regulation problem for continuous-time linear systems with both input and communication time-delays was studied. This paper will further present the results on the robust output regulation problem for discrete-time linear systems with input and communication delays. The motivation of this paper comes from two aspects. First, it is known that the solvability of the output regulation problem for linear systems is dictated by two matrix equations. While, for delay-free systems, these two matrix equations are same for both continuous-time systems and discrete- time systems, they are different for continuous-time time-delay systems and discrete-time time-delay systems. Second, the stabilization methods for continuous-time time-delay systems and discrete-time time-delay systems are also somehow different. Thus, an independent treatment of the robust output regulation problem for discrete-time time-delay systems will be useful and necessary.