Pole assignment of multivariable systems using proportional-derivative state feedback

被引：4

作者：

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

机构：

[1] Helwan Univ, Fac Engn, Dept Mech Engn, Helwan, Egypt

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 13期

关键词：

Proportional-derivative (PD) feedback; pole assignment; linear time-invariant systems; multivariable system; feedback stabilisation; PARAMETRIC EIGENSTRUCTURE ASSIGNMENT; DESCRIPTOR SYSTEMS; LINEAR-SYSTEMS; SINGULAR SYSTEMS; ALGORITHM; DESIGN; MATRIX; PD;

D O I：

10.1080/00207721.2017.1359349

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, the parametric solution to the pole assignment problem for multivariable linear time-invariant systems controlled by proportional-derivative (PD) state feedback is developed. The new expressions for the PD gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. The freedom provided by PD state gain matrices is utilised to obtain closed-loop systems with robust and small gain matrices. Two computational algorithms are introduced, and their effectiveness is demonstrated by two simulation examples.

引用

页码：2871 / 2886

页数：16

共 36 条

[1] Robust pole assignment for linear time-invariant systems using state-derivative feedback [J].

Abdelaziz, T. H. S. .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2009, 223 (I2) :187-199

[2] Stabilization of linear time-varying systems using proportional-derivative state feedback [J].

Abdelaziz, Taha H. S. .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (07) :2100-2115

[3] Stabilization of Single-Input LTI Systems by Proportional-Derivative Feedback [J].

Abdelaziz, Taha H. S. .

ASIAN JOURNAL OF CONTROL, 2015, 17 (06) :2165-2174

[4] Pole Placement for Single-Input Linear System by Proportional-Derivative State Feedback [J].

Abdelaziz, Taha H. S. .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2015, 137 (04)

[5] Parametric eigenstructure assignment using state-derivative feedback for linear systems [J].

Abdelaziz, Taha Helmy S. .

JOURNAL OF VIBRATION AND CONTROL, 2012, 18 (12) :1809-1827

[6]

[Anonymous], 2013, Matrix Analysis

[7]

[Anonymous], 2010, Automatic Control Systems

[8] AN ALGORITHM FOR THE MULTIINPUT EIGENVALUE ASSIGNMENT PROBLEM [J].

ARNOLD, M ;

DATTA, BN .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (10) :1149-1152

[9] Modal proportional and derivative state active control applied to a simplified string instrument [J].

Benacchio, Simon ;

Chomette, Baptiste ;

Mamou-Mani, Adrien ;

Ollivier, Francois .

JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (18) :3877-3888

[10] AN ALGORITHM FOR THE MULTIINPUT POLE ASSIGNMENT PROBLEM [J].

BRU, R ;

CERDAN, J ;

URBANO, AM .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 199 :427-444

← 1 2 3 4 →