LQ control for constrained continuous-time systems

被引:42
|
作者
Kojima, A
Morari, M
机构
[1] Tokyo Metropolitan Inst Technol, Hino, Tokyo 1910065, Japan
[2] ETH, Swiss Fed Inst Technol, Automat Control Lab, CH-8092 Zurich, Switzerland
关键词
LQ control; continuous time systems; constrained system; model predictive control; integral operators; singular value decomposition; quadratic programming;
D O I
10.1016/j.automatica.2004.02.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A design method of LQ optimal control law is considered for constrained continuous-time systems. By introducing singular value decomposition for finite-time horizon linear systems, the sequence of LQ sub-optimal control laws, which converges to the exact solution, is obtained based on quadratic programming. It is also shown that the nonlinear sub-optimal feedback gain is found by the union of affine state functions. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1143 / 1155
页数:13
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