具有乘性噪声和不可靠上行信道的多系统的最优本地和远程控制
Optimal Local and Remote Controls of Multiple Systems with Multiplicative Noises and Unreliable Uplink Channels
摘要：
研究了由多个子系统组成的网络控制系统（NCS）的最优本地和远程线性二次（LQ）控制问题，其中每个子系统由一个带有本地控制器和一个远程控制器的一般乘性噪声随机系统描述.由于上行通道不可靠，远程控制器只能访问所有子系统的不可靠状态信息，而从远程控制器到本地控制器的下行通道是完美的。这种系统的LQ控制问题的困难来自于本地控制器和远程控制器的不同信息结构。通过发展Pontyagin最大值原理，导出了基于一组前向和向后差分方程（G-FBSDEs）解的可解性充要条件.此外，通过提出一种新的解耦方法和引入新的耦合Riccati方程（CRE），得到了具有丢包的乘性噪声网络控制系统的最优控制策略，验证了分离原理的有效性。本文对非对称信息结构下的最优控制问题作了重要的贡献。
英文摘要：
In this paper, the optimal local and remote linear quadratic (LQ) control problem is studied for a networked control system (NCS) which consists of multiple subsystems and each of which is described by a general multiplicative noise stochastic system with one local controller and one remote controller. Due to the unreliable uplink channels, the remote controller can only access unreliable state information of all subsystems, while the downlink channels from the remote controller to the local controllers are perfect. The difficulties of the LQ control problem for such a system arise from the different information structures of the local controllers and the remote controller. By developing the Pontyagin maximum principle, the necessary and sufficient solvability conditions are derived, which are based on the solution to a group of forward and backward difference equations (G-FBSDEs). Furthermore, by proposing a new method to decouple the G-FBSDEs and introducing new coupled Riccati equations (CREs), the optimal control strategies are derived where we verify that the separation principle holds for the multiplicative noise NCSs with packet dropouts. This paper can be seen as an important contribution to the optimal control problem with asymmetric information structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
