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Research Papers

A Control Design Approach for TITO Systems Using Measured Data

[+] Author and Article Information
Sofiane Khadraoui

Department of Electrical and
Computer Engineering,
University of Sharjah,
University City,
P.O. Box 2727,
Sharjah, United Arab Emirates
e-mail: skhadraoui@sharjah.ac.ae

Raouf Fareh

Department of Electrical and
Computer Engineering,
University of Sharjah,
University City,
P.O. Box 2727,
Sharjah, United Arab Emirates

Hazem N. Nounou

Department of Electrical and
Computer Engineering,
Texas A&M Engineering Building,
Education City,
P.O. Box 23874,
Doha, Qatar

Mohamed N. Nounou

Department of Chemical Engineering,
Texas A&M Engineering Building,
Education City,
P.O. Box 23874,
Doha, Qatar

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received September 4, 2017; final manuscript received August 28, 2018; published online September 26, 2018. Assoc. Editor: Ming Xin.

J. Dyn. Sys., Meas., Control 141(1), 011013 (Sep 26, 2018) (10 pages) Paper No: DS-17-1443; doi: 10.1115/1.4041357 History: Received September 04, 2017; Revised August 28, 2018

This paper deals with the design of fixed-structure controllers for two-input two-output (TITO) 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 single-input single-output (SISO) 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.

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Figures

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Fig. 1

Multivariable feedback control system

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Fig. 2

Decoupler in series with the TITO system

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Fig. 3

Closed-loop control scheme of the TITO system

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Fig. 4

Schematic of the LV100 gas turbine engine

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Fig. 5

(a) Singular values σ(Δ()H()) for the designed controller and (b) singular values for different uncertainty matrix Δ()

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Fig. 6

Simulation results: (a) closed-loop response of the gas generator shaft speed Ng and (b) closed-loop response of the exhaust temperature Te

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Fig. 7

Comparison of closed-loop responses Ng, and Te obtained using the proposed method and via the static output feedback proportional-integral controller

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Fig. 8

Simulation results: (a) closed-loop response of the overhead product composition XD and (b) closed-loop response of the bottom product composition XB

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