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research-article

A control design approach for TITO systems using measured data

[+] Author and Article Information
Sofiane Khadraoui

Department of Electrical & Computer Engineering, University of Sharjah
skhadraoui@sharjah.ac.ae

Raouf Fareh

Department of Electrical & Computer Engineering, University of Sharjah
rfareh@sharjah.ac.ae

Hazem Nounou

Department of Electrical & Computer Engineering, cDepartment of Chemical Engineering, Texas A&M University at Qatar
hazem.nounou@qatar.tamu.edu

Mohamed Nounou

Department of Electrical & Computer Engineering, cDepartment of Chemical Engineering, Texas A&M University at Qatar
mohamed.nounou@qatar.tamu.edu

1Corresponding author.

ASME doi:10.1115/1.4041357 History: Received September 04, 2017; Revised August 28, 2018

Abstract

This paper deals with the design of fixed-structure controllers for TITO (two-input two-output) systems using frequency-domain data. In standard control approaches, a plant model is first derived, then a suitable controller is designed to meet some user-specified performance specifications. Basically, there are two common ways for obtaining mathematical models: white-box modeling and black-box modeling. In both approaches, it is difficult to obtain a simple and accurate model that completely describes the system dynamics. As a result, errors associated with the plant modeling may result in degradation of the desired closed-loop performance. Moreover, the intermediate step of plant modeling introduced for the controller design is a time consuming task. Hence, the concept of data-based control design is introduced as a possible alternative to model-based approaches. This promising methodology allows us to avoid the under-modeling problem and to significantly reduce the time and workload for the user. Most existing data-based control approaches are developed for SISO (single-input single-output) systems. Nevertheless, a large class of real systems involve several manipulated and output variables. To this end, we attempt here to develop an approach to design controllers for TITO systems using frequency-domain data. In such a method, a set of frequency-domain data is utilized to find an adequate decoupler and to tune a diagonal controller that meets some desired closed-loop performance measures. Two simulation examples are presented to illustrate and demonstrate the efficacy of the proposed method.

Copyright (c) 2018 by ASME
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