电光与控制, 2016, 23 (8): 28, 网络出版: 2021-01-26
网络随机系统的最优事件触发控制
Optimal Event-Triggered Control for Networked Stochastic System
网络随机系统 LQG最优控制 事件触发采样机制 networked stochastic system optimal LQG control event-triggered sampling mechanism
摘要
针对网络随机系统下具有高斯白噪声的线性、离散时间随机过程, 提出了一种基于事件触发采样机制的线性二次型高斯(LQG)最优控制设计方法。考虑最优控制律和最优事件触发律的联合设计, 首先证明基于事件触发的LQG最优控制律同样满足分离定理, 其次推导出代价函数, 利用动态规划的方法求解最优触发律以及代价函数的最小值。仿真结果表明, 在相同条件下, 所提出的最优事件触发控制与传统的最优时间触发控制相比, 能减少信息传输次数, 节约通信资源, 提升整体控制性能。
Abstract
An optimal Linear Quadratic Gaussian (LQG) control method under event-triggered sampling mechanism is proposed for the linear, discrete stochastic process with white Gaussian noise in networked stochastic system. Considering the joint design of optimum control law and optimum event-trigger law, it is proved that an optimal LQG control law based on event-triggered sampling mechanism can also satisfy the separation theorem. Then, performance cost function is derived, and based on which the optimum event-trigger law and the minimum value of the cost function are obtained by deterministic dynamic programming. Simulation results show that, compared with the optimal time-triggered LQG control under the same conditions, the proposed optimal event-triggered LQG control can save communication resources, decrease the transmission times, and improve the whole control performance at the same time.
刘赟, 张合新, 李国梁, 周鑫, 扈晓翔. 网络随机系统的最优事件触发控制[J]. 电光与控制, 2016, 23(8): 28. LIU Yun, ZHANG He-xin, LI Guo-liang, ZHOU Xin, HU Xiao-xiang. Optimal Event-Triggered Control for Networked Stochastic System[J]. Electronics Optics & Control, 2016, 23(8): 28.