Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

被引：16

作者：

Lin, Xiaoyan ^{[1
]}

Lin, Dongyun ^{[1
]}

Lan, Weiyao ^{[1
]}

机构：

[1] Xiamen Univ, Dept Automat, Xiamen 361005, Fujian, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2017年 / 39卷 / 03期

关键词：

Output regulation; singular linear systems; input saturation; discrete-time system; transient performance; IMPROVING TRANSIENT PERFORMANCE; TRACKING CONTROL; STABILIZATION; DESIGN; IMPROVEMENT; SUBJECT;

D O I：

10.1177/0142331215605561

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 semi-global output regulation problem of multi-variable discrete-time singular linear systems with input saturation is investigated in this paper. A composite nonlinear feedback control law is constructed by using a low gain feedback technique for semi-global stabilisation of discrete-time singular linear systems with input saturation. The sufficient solvability conditions of the semi-global output regulation problem by composite nonlinear feedback control are established. When the composite nonlinear feedback control law is reduced to a linear control law, the solvability conditions are an exact discrete-time counterpart of the semi-global output regulation problem of continuous-time singular linear systems. With the extra control freedom of the nonlinear part in the composite nonlinear feedback control law, the transient performance of the closed-loop system can be improved by carefully choosing the linear feedback gain and the nonlinear feedback gain. The design procedure of the composite nonlinear feedback control law and the improvement of the transient performance are illustrated by a numerical example.

引用

页码：352 / 360

页数：9

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