Pole Placement for Single-Input Linear System by Proportional-Derivative State Feedback

被引：7

作者：

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

机构：

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

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2015年 / 137卷 / 04期

关键词：

pole placement; PD state feedback; linear systems; feedback stabilization; EIGENSTRUCTURE ASSIGNMENT; EIGENVALUE ASSIGNMENTS; DESCRIPTOR SYSTEMS; DESIGN; ALGORITHM; STABILIZATION; ROBUST; PI;

D O I：

10.1115/1.4028713

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 deals with the direct solution of the pole placement problem for single-input linear systems using proportional-derivative (PD) state feedback. This problem is always solvable for any controllable system. The explicit parametric expressions for the feedback gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. These freedoms are utilized to obtain closed-loop systems with small gains. Its derivation is based on the transformation of linear system into control canonical form by a special coordinate transformation. The solving procedure results into a formula similar to Ackermann's one. In the present work, both time-invariant and time-varying linear systems are treated. The effectiveness of the proposed method is demonstrated by the simulation examples of both time-invariant and time-varying systems.

引用

页数：10

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