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

页码：384 / 391

页数：8

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