MIMO tracking control of LTI systems: A geometric approach

被引：1

作者：

Padula, Fabrizio ^{[1
]}

Ntogramatzidis, Lorenzo ^{[1
]}

Garone, Emanuele ^{[2
]}

机构：

[1] Curtin Univ, Dept Math & Stat, Perth, WA, Australia

[2] Univ Libre Bruxelles, Dept SAAS, Brussels, Belgium

来源：

SYSTEMS & CONTROL LETTERS | 2019年 / 126卷

基金：

澳大利亚研究理事会;

关键词：

EIGENSTRUCTURE ASSIGNMENT; MULTIVARIABLE SYSTEMS; FEEDBACK; STATE;

D O I：

10.1016/j.sysconle.2019.02.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper addresses the tracking problem of constant references for multiple-input multiple-output linear time-invariant systems. We provide necessary and sufficient conditions for the solvability of the problem under the minimal set of assumptions that guarantee the well-posedness of every control problem requiring stability. Our approach allows to solve tracking problems for systems which are possibly nonright-invertible, simply (not asymptotically) stabilizable, and possibly with invariant zeros at the origin. Our methodology is constructive and results in the design of a stabilizing feedback matrix and a feedforward signal which solve the problem. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：8 / 20

页数：13

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