Stabilization of Single-Input LTI Systems by Proportional-Derivative Feedback

被引：4

作者：

Abdelaziz, Taha H. S. ^{[1
,2
]}

机构：

[1] Northern Border Univ, Fac Engn, Dept Ind Engn, Rafha, Saudi Arabia

[2] Helwan Univ, Fac Engn, Dept Mech Engn, Cairo 11792, Egypt

来源：

ASIAN JOURNAL OF CONTROL | 2015年 / 17卷 / 06期

关键词：

Proportional-derivative feedback; pole placement; linear time-invariant systems; feedback stabilization; POLE ASSIGNMENT; DESCRIPTOR SYSTEMS; STATE-FEEDBACK; EIGENSTRUCTURE ASSIGNMENT; CONTROLLER-DESIGN; LINEAR-SYSTEMS; ALGORITHM; ROBUST; PLACEMENT; PI;

D O I：

10.1002/asjc.1130

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 article presents an efficient solution to the stabilization pole placement problem for single-input linear time-invariant (LTI) systems by proportional-derivative (PD) feedback. For a controllable system, any arbitrary closed-loop poles can be placed in order to achieve the desired closed-loop system performance. Its derivation is based on the transformation of linear system into Hessenberg form by a special coordinate transformation before solving the pole placement problem. The available degrees of freedom offered by PD feedback are utilized to obtain closed-loop systems with small gains. So, the minimization problem for a suitably chosen cost function is formulated. Simulation results are included to show the effectiveness of the proposed approach.

引用

页码：2165 / 2174

页数：10

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