Eigenvalue assignment by minimal state-feedback gain in LTI multivariable systems

被引：14

作者：

Ataei, Mohammad ^{[1
]}

Enshaee, Ali ^{[1
]}

机构：

[1] Univ Isfahan, Fac Engn, Dept Elect Engn, Esfahan, Iran

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2011年 / 84卷 / 12期

关键词：

eigenvalue assignment; matrix algebra; state feedback; multivariable control system; ROBUST POLE ASSIGNMENT; DISCRETE-TIME-SYSTEMS; EIGENSTRUCTURE ASSIGNMENT; OUTPUT-FEEDBACK; LINEAR-SYSTEMS; DESIGN; PLACEMENT; CONTROLLERS; ALGORITHM;

D O I：

10.1080/00207179.2011.630026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, an improved method for eigenvalue assignment via state feedback in the linear time-invariant multivariable systems is proposed. This method is based on elementary similarity operations, and involves mainly utilisation of vector companion forms, and thus is very simple and easy to implement on a digital computer. In addition to the controllable systems, the proposed method can be applied for the stabilisable ones and also systems with linearly dependent inputs. Moreover, two types of state-feedback gain matrices can be achieved by this method: (1) the numerical one, which is unique, and (2) the parametric one, in which its parameters are determined in order to achieve a gain matrix with minimum Frobenius norm. The numerical examples are presented to demonstrate the advantages of the proposed method.

引用

页码：1956 / 1964

页数：9

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