Linear Quadratic Gaussian Control for Discrete-time Systems with Delay and Multiplicative Noise

被引：1

作者：

Liang, Xiao ^{[1
]}

Xu, Juanjuan ^{[1
]}

Zhang, Huanshui ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

LQG control; FBSDEs; discrete-time system; multiplicative noise; input delay; COMMUNICATION;

D O I：

10.1016/j.ifacol.2017.08.354

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the linear quadratic Gaussian (LQG) control problem for discrete-time systems subject to multiplicative noises and input delay. When the state variables can be obtained exactly, the necessary and sufficient condition for the existence of a unique solution to the LQG control has been presented and an explicit analytical expression is given for the optimal LQG controller. More specially, the optimal LQG controller is derived which consists of the feedback form of the conditional expectation of the state and one additive deterministic term based on the coupled Riccati equations. Through the completing square approach, the optimal controller is obtained based on the solution to the forward and backward stochastic difference equations (FBSDEs). (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：3847 / 3852

页数：6

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