Title :
ℋ2/ℋ∞ guaranteed cost PID design for uncertain systems: a multiobjective approach
Author :
Takahashi, Ricardo H C ; Peres, Pedro L D ; Ferreira, Paulo A V
Author_Institution :
Dept. of Electr. Eng., Univ. Federal de Minas Gerais, Belo Horizonte, Brazil
Abstract :
This paper presents a methodology for sub-optimal design of PID compensators for systems subject to parametric uncertainties of polytope type and to disturbance signals. The adopted optimality criteria are the ℋ2 and ℋ∞ norms of the transfer matrices from the disturbance inputs and from the reference input to the controlled output error. The PID parameter selection combines the different optimization criteria through a multiobjective technique, adapted in order to allow the uncertainties to be handled in a minimax sense. True guaranteed cost values for optimization criteria are calculated
Keywords :
H∞ control; compensation; control system synthesis; cost optimal control; optimisation; parameter estimation; suboptimal control; three-term control; transfer function matrices; uncertain systems; H infinity control; H2/H∞ control; PID compensators; PID parameter selection; controlled output error; disturbance inputs; disturbance signals; guaranteed cost PID design; guaranteed cost values; minimax; multiobjective approach; optimality criteria; optimization criteria; parametric uncertainty; polytope type; reference input; suboptimal design; transfer matrices; uncertain systems; Control systems; Costs; Eigenvalues and eigenfunctions; Equations; Error correction; H infinity control; Signal design; Three-term control; Transfer functions; Uncertain systems;
Conference_Titel :
Computer-Aided Control System Design, 1996., Proceedings of the 1996 IEEE International Symposium on
Conference_Location :
Dearborn, MI
Print_ISBN :
0-7803-3032-3
DOI :
10.1109/CACSD.1996.555311
