DocumentCode :
2911017
Title :
Robust control design method for uncertain system using a set of measurements
Author :
Khadraoui, S. ; Nounou, H. ; Nounou, M. ; Datta, Amitava ; Bhattacharyya, S.P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas A&M Univ. at Qatar, Doha, Qatar
fYear :
2013
fDate :
17-19 June 2013
Firstpage :
4325
Lastpage :
4330
Abstract :
This work deals with the design of robust fixed-structure controllers for uncertain systems based on a finite set of measured data. This set of measurements is given in the frequency domain. In the current control design approaches, controllers are usually designed based on plant models obtained on the basis of measured data. However, due to various forms of uncertainties such as: plant parameter variations, external disturbances, measurement noise, etc, such models are unable to perfectly describe the behavior of the physical system. Hence, degradation in the controller performance is expected due to such uncertainties and errors associated with the identification process. For that, we propose a new control technique that uses the uncertain measurements to directly design robust controllers, for a class of uncertainties, without going through the use of identification process. In such a proposed design method, interval techniques are introduced to bound plant uncertainties. Its main principle is to find the set of admissible values of the controller parameters so that the family of all possible frequency responses of the closed-loop system lies between an upper and lower bounds of a desired frequency response. This problem is formulated as a nonlinear programming problem which can easily be solved to characterize the solution set of the controller parameters. The main feature of our proposed approach is that it enables to design robust fixed-structure controllers by taking into account the plant uncertainties. Moreover, since no mathematical model is needed in the controller synthesis, the design process does not depend on the increasing order and complexity of the system. A simulation example is presented to illustrate and validate the efficacy of the proposed method.
Keywords :
control system synthesis; nonlinear programming; robust control; uncertain systems; control design approach; control technique; frequency domain; identification process; measurement set; nonlinear programming; robust control design method; robust fixed-structure controller; uncertain system; Frequency control; Frequency measurement; Frequency response; Mathematical model; Robustness; Uncertain systems; Uncertainty; Data-based control; Frequency response template; Interval analysis; Nonlinear programming problem; Plant uncertainty; Robust controller;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
ISSN :
0743-1619
Print_ISBN :
978-1-4799-0177-7
Type :
conf
DOI :
10.1109/ACC.2013.6580505
Filename :
6580505
Link To Document :
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