论文标题

具有输入延迟和马尔可夫数据包损失的离散时间NCSS的最佳控制:持有输入案例

Optimal Control for Discrete-time NCSs with Input Delay and Markovian Packet Losses: Hold-Input Case

论文作者

Li, Hongdan, Li, Xun, Zhang, Huanshui

论文摘要

本文涉及与输入延迟和马尔可夫辍学的线性二次最佳控制问题。与文献的结果不同,我们考虑了持有输入策略,该策略在计算上比零输入策略更为复杂,但在大多数情况下,尤其是在过渡阶段。耦合差异riccati-type方程给出了有限地平线上最佳控制问题的必要条件。此外,当且仅当耦合代数riccati-type方程具有特定的解决方案时,网络控制系统是均方稳定性。本文中的关键技术是解决前向和向后差方程,由于控制器的适应性以及同时输入延迟和马尔可夫跳跃引起的时间相关性,因此很难处理。

This paper is concerned with the linear quadratic optimal control problem for networked system simultaneously with input delay and Markovian dropout. Different from the results in the literature, we consider the hold-input strategy, which is much more computationally complicated than zero-input strategy, but much better in most cases especially in the transition phase. Necessary and sufficient conditions for the solvability of optimal control problem over a finite horizon are given by the coupled difference Riccati-type equations. Moreover, the networked control system is mean-square stability if and only if the coupled algebraic Riccati-type equations have a particular solution. The key technique in this paper is to tackle the forward and backward difference equations, which are more difficult to be dealt with, due to the adaptability of controller and the temporal correlation caused by simultaneous input delay and Markovian jump.

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