Robust stabilization of commensurate fractional order interval plants with PID controllers

Author

Kang, Hwan Il

Author_Institution

Dept. of Inf. Eng., Myongji Univ., Yongin, South Korea

Volume

2

fYear

2009

fDate

20-22 Nov. 2009

Firstpage

596

Lastpage

599

Abstract

In this paper, we study robust stabilization of commensurate fractional order interval polynomial with the PID controller. In this paper, we show that a special class of commensurate fractional order interval plants can be stabilized by PID compensator if some of edge characteristic polynomials can be stabilized by the PID compensator. The proof is based on the fact that the special commensurate fractional order polytope of polynomial is robustly stable if and only if a small set of edge polynomials are robustly stable.

Keywords

compensation; polynomials; robust control; three-term control; PID compensator; PID controllers; commensurate fractional order interval plants; commensurate fractional order interval polynomial; robust stabilization; Control systems; Polynomials; Proportional control; Robust control; Robust stability; Robustness; Three-term control; Vectors; commensurate fractional order interval polynomials; edge polynomials; robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-4754-1

Electronic_ISBN

978-1-4244-4738-1

Type

conf

DOI

10.1109/ICICISYS.2009.5358324

Filename

5358324