标题： 具有输入延迟和马尔可夫包丢失的离散时间NCSs的最优控制：保持输入情况 显示英文标题

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

摘要： 本文研究了具有输入延迟和马尔可夫丢包的网络化系统的线性二次最优控制问题。 与文献中的结果不同，我们考虑了保持输入策略，该策略比零输入策略计算上更复杂，但在大多数情况下，特别是在过渡阶段表现更好。 给出了有限时间范围内最优控制问题可解性的必要充分条件，即耦合差分黎卡提型方程。 此外，当且仅当耦合代数黎卡提型方程有一个特定解时，网络化控制系统是均方稳定的。 本文的关键技术是处理前向和后向差分方程，由于控制器的适应性和同时输入延迟和马尔可夫跳跃引起的时序相关性，这些方程更难处理。 显示英文摘要

摘要： 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.