Robust control design method for uncertain system using a set of measurements

S. Khadraoui, Hazem Nounou, Mohamed Nounou, A. Datta, S. P. Bhattacharyya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
Pages4325-4330
Number of pages6
Publication statusPublished - 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 17 Jun 201319 Jun 2013

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period17/6/1319/6/13

Fingerprint

Uncertain systems
Robust control
Controllers
Frequency response
Electric current control
Nonlinear programming
Closed loop systems
Uncertainty
Mathematical models
Degradation

Keywords

  • Data-based control
  • Frequency response template
  • Interval analysis
  • Nonlinear programming problem
  • Plant uncertainty
  • Robust controller

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Khadraoui, S., Nounou, H., Nounou, M., Datta, A., & Bhattacharyya, S. P. (2013). Robust control design method for uncertain system using a set of measurements. In 2013 American Control Conference, ACC 2013 (pp. 4325-4330). [6580505]

Robust control design method for uncertain system using a set of measurements. / Khadraoui, S.; Nounou, Hazem; Nounou, Mohamed; Datta, A.; Bhattacharyya, S. P.

2013 American Control Conference, ACC 2013. 2013. p. 4325-4330 6580505.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khadraoui, S, Nounou, H, Nounou, M, Datta, A & Bhattacharyya, SP 2013, Robust control design method for uncertain system using a set of measurements. in 2013 American Control Conference, ACC 2013., 6580505, pp. 4325-4330, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 17/6/13.
Khadraoui S, Nounou H, Nounou M, Datta A, Bhattacharyya SP. Robust control design method for uncertain system using a set of measurements. In 2013 American Control Conference, ACC 2013. 2013. p. 4325-4330. 6580505
Khadraoui, S. ; Nounou, Hazem ; Nounou, Mohamed ; Datta, A. ; Bhattacharyya, S. P. / Robust control design method for uncertain system using a set of measurements. 2013 American Control Conference, ACC 2013. 2013. pp. 4325-4330
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