NDLI: A model-free technique for designing fixed-order controllers

Content Provider	IEEE Xplore Digital Library
Author	Khadraoui, S. Nounou, H. Nounou, M. Datta, A. Bhattacharyya, S.P.
Copyright Year	2013
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Texas A&M Univ. at Qatar, Doha, Qatar (Khadraoui, S.; Nounou, H.) \|\| Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX, USA (Datta, A.; Bhattacharyya, S.P.) \|\| Dept. of Chem. Eng., Texas A&M Univ. at Qatar, Doha, Qatar (Nounou, M.)
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 low-order controllers. For simulation purposes, a PID controller is designed to illustrate the feasibility and demonstrate the efficacy of the proposed technique.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	6130
Ending Page	6135
File Size	869257
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760858
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency response Mathematical model Frequency-domain analysis Frequency control Closed loop systems Control design Relative error minimization Model-free control Unknown systems Reduced-order controller
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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