INFINITE HORIZON LINEAR QUADRATIC OPTIMAL CONTROL FOR DISCRETE-TIME STOCHASTIC SYSTEMS

被引:69
|
作者
Huang, Yulin [2 ]
Zhang, Weihai [1 ]
Zhang, Huanshui [3 ]
机构
[1] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China
[2] Shandong Inst Light Ind, Sch Elect Informat & Control Engn, Jinan 250353, Peoples R China
[3] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete-time stochastic systems; linear quadratic optimal control; exact observability; stabilizability;
D O I
10.1002/asjc.61
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 is concerned With the infinite horizon linear quadratic optimal control for discrete-time stochastic systems with both state and control-dependent noise. Under assumptions of stabilization and exact observability. it is shown that the optimal control law and optimal value exist, and the properties of the associated discrete generalized algebraic Riccati equation (GARE) are also discussed.
引用
收藏
页码:608 / 615
页数:8
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