A model-free technique for designing fixed-order controllers

S. Khadraoui, H. Nounou, M. Nounou, A. Datta, S. P. Bhattacharyya

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

1 Citation (Scopus)

Abstract

This paper suggests a model-free control design technique for unknown stable single-input-single-output (SISO) systems. In traditional control design approaches, a mathematical model of the plant is first identified using a set of measurements, then a controller is designed on the basis of this model. However, the use of such identified models, which are often subject to several uncertainties due to the complexity involved in many practical applications, usually results in degradation of the controller performance. Unlike model-based control approaches, we propose here to directly utilize the measured data in the controller design without going through a model identification. Our proposed control method consists in finding a suitable fixed-order controller for which the closed-loop frequency response is very close to a desired frequency response that describes some desired closed-loop performance indices. This problem is formulated as a minimization problem, where the objective function is defined by the integral of the squared relative error between the closed-loop frequency response and the desired frequency response. The main feature of our proposed method is that the design process does not depend on the increasing order and complexity of the system. Moreover, it enables to design loworder controllers. For simulation purposes, a PID controller is designed to illustrate the feasibility and demonstrate the efficacy of the proposed technique. Index Terms-Model-free control; Unknown systems; Reduced-order controller; Frequency response; Relative error minimization.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6130-6135
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - 1 Jan 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: 10 Dec 201313 Dec 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period10/12/1313/12/13

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Khadraoui, S., Nounou, H., Nounou, M., Datta, A., & Bhattacharyya, S. P. (2013). A model-free technique for designing fixed-order controllers. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 6130-6135). [6760858] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760858