Design of discrete-time multivariable PID controllers via LMI approach

Author

Sik Lim, Jae ; Il Lee, Young

Author_Institution

Dept. of Nano-IT Eng., Seoul Nat. Univ. of Technol., Seoul

fYear

2008

Firstpage

1867

Lastpage

1871

Abstract

In this paper we propose a design method of discrete-time multivariable PID controllers via LMI optimizations. A discrete-time PID controller is formulated as a static output feedback controller for an augmented system and its parameters are found by a solution of LMI optimization problems. Three optimization problems are presented. One of them is based on a sufficient condition for static output feedback stabilization proposed in this paper, which is a relaxation of the condition. The others are based on H₂ and H_infin performance, respectively. The proposed method can be applied to uncertain systems with polytopic uncertainties. An illustrative example is presented.

Keywords

H^infin control; control system synthesis; discrete time systems; feedback; linear matrix inequalities; multivariable control systems; three-term control; uncertain systems; H₂ performance; H_infin performance; LMI approach; discrete-time multivariable PID controllers; polytopic uncertainties; static output feedback controller; uncertain systems; Automatic control; Control systems; Design engineering; Hydrogen; Output feedback; Sufficient conditions; Three-term control; Uncertain systems; Uncertainty; Vectors; LMI; disctere-time systems; multivariable PID; static output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems, 2008. ICCAS 2008. International Conference on

Conference_Location

Seoul

Print_ISBN

978-89-950038-9-3

Electronic_ISBN

978-89-93215-01-4

Type

conf

DOI

10.1109/ICCAS.2008.4694403

Filename

4694403