Robust stabilizing solution of the Riccati difference equation

被引：2
作者：
Zou, JP [1 ]
Gupta, YP [1 ]
机构：
[1] Tech Univ Nova Scotia, Dept Chem Engn, Halifax, NS B3J 2X4, Canada
来源：
EUROPEAN JOURNAL OF CONTROL | 2000年 / 6卷 / 04期
关键词：
Riccati difference equation; robust control; robust stability; uncertain systems;
D O I：
10.1016/S0947-3580(00)71099-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The control law for infinite horizon H(2) control of linear discrete-systems with norm bounded time-varying uncertainties has been presented in the literature. In this paper, a sufficient condition for robust stability of this control is presented. Based upon the results obtained, a connection is made between the monotonic behavior of the Riccati difference equation (RDE) and the robust stability of "frozen" closed-loop systems. This connection then allows the derivation of a robust stability condition for "frozen" closed-loop systems, which depends only on the initial condition of the RDE. An example is included to illustrate the implementation of the proposed theory.
引用
收藏
页码：384 / 391
页数：8
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