On the design of multivariable PID controllers via LMI approach

Author

Zheng, Feng ; Wang, Qing-Guo ; Lee, Tong Heng

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

1

fYear

2001

fDate

2001

Firstpage

776

Abstract

We study the design problem of multivariable PID controllers which guarantee the stability of the closed loop systems, H₂ or H _∞ performance specifications, or maximum output control requirement, respectively. The basic idea of our method is to transform the problem of PID controller design to that of static output feedback controller design. Algorithms based on an iterative linear matrix inequality technique are developed to find the feedback gains of PID controllers corresponding to the above mentioned four cases

Keywords

H^∞ control; asymptotic stability; control system synthesis; feedback; matrix algebra; multivariable control systems; performance index; three-term control; transfer function matrices; H2 performance specifications; H_∞ performance specifications; LMI approach; closed systems; feedback gains; iterative linear matrix inequality technique; maximum output control requirement; multivariable PID controllers; static output feedback controller design; Closed loop systems; Control systems; Electric variables control; Hydrogen; Linear feedback control systems; Linear matrix inequalities; MIMO; Output feedback; Stability; Three-term control;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 2001. IECON '01. The 27th Annual Conference of the IEEE

Conference_Location

Denver, CO

Print_ISBN

0-7803-7108-9

Type

conf

DOI

10.1109/IECON.2001.976713

Filename

976713