Title :
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
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 Hinfin performance, respectively. The proposed method can be applied to uncertain systems with polytopic uncertainties. An illustrative example is presented.
Keywords :
Hinfin control; control system synthesis; discrete time systems; feedback; linear matrix inequalities; multivariable control systems; three-term control; uncertain systems; H2 performance; Hinfin 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;
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
DOI :
10.1109/ICCAS.2008.4694403
