Title :
Design of multivariable H∞ PID controller using frequency response
Author :
Saeki, Masami ; Kashiwagi, Katsufumi ; Wada, Nobutaka
Author_Institution :
Hiroshima Univ., Hiroshima
Abstract :
In this paper, an optimization method of the multivariable PID controller for H∞ control is proposed. This method uses only the frequency response of the plant and it does not need the state space representation. The linear matrix inequality restrictions can be imposed on the PID gain matrices. Starting from a stabilizing gain, this method gives a sequence of PID gains for which the H∞ norm performance index is monotonically nonincreasing. A method of finding a starting point is also given for stable plants. The usefulness is demonstrated by numerical examples.
Keywords :
H∞ control; control system synthesis; frequency response; linear matrix inequalities; multivariable control systems; optimisation; performance index; three-term control; H∞ control; PID gain matrix; controller design; frequency response; linear matrix inequality; multivariable PID control; optimization; performance index; Control systems; Control theory; Equations; Frequency response; Linear matrix inequalities; Performance analysis; Performance gain; State-space methods; Three-term control; Transfer functions;
Conference_Titel :
Control Applications, 2007. CCA 2007. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0442-1
Electronic_ISBN :
978-1-4244-0443-8
DOI :
10.1109/CCA.2007.4389460
