MINIMUM ENERGY CONTROL OF FRACTIONAL DESCRIPTOR DISCRETE-TIME LINEAR SYSTEMS WITH BOUNDED INPUTS USING THE DRAZIN INVERSE

被引：2

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland

来源：

ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 06期

关键词：

Minimum energy control; Drazin inverse; Descriptor; Fractional; Discrete-time; Linear system; STRUCTURAL-PROPERTIES; EQUATIONS; PENCIL;

D O I：

10.1002/asjc.1510

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 Drazin inverse of matrices is applied to solve the minimum energy control problem of fractional descriptor discrete-time linear systems with bounded inputs. Necessary and sufficient conditions for the reachability of fractional descriptor linear systems are established. The minimum energy control problem for the fractional descriptor systems with bounded inputs is formulated and solved. A procedure for the computation of the optimal inputs sequence and the minimal value of the performance index is proposed.

引用

页码：2211 / 2218

页数：8

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