网络随机系统的最优事件触发控制  

Optimal Event-Triggered Control for Networked Stochastic System

作　　者：刘贇 张合新 李国梁 周鑫 扈晓翔 

机构地区：[1]火箭军工程大学,西安710025

出　　处：《电光与控制》2016年第8期28-32,43,共6页Electronics Optics & Control

基　　金：国家自然科学基金(6130400161304239)

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。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 of optimal event-triggered LQG control ,ptimal time-triggered LQG control under the same can save communication resources, decrease the conditions, the proposed transmission times, and improve the whole control performance at the same time.

关 键 词：网络随机系统 LQG最优控制 事件触发采样机制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]