Design of quantitative feedback theory non-diagonal controllers for use in uncertain multiple-input multiple-output systems

García-Sanz, Mario; Egaña, I.; Barreras, M.

doi:10.1049/ip-cta:20041186

Cited by 30 publications

(39 citation statements)

References 11 publications

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“…The approach applied in this paper [8] integrates previous techniques [6], [9], [10] and designs a fully populated controller for multivariable systems.…”

Section: Qwurgxfwlrqmentioning

confidence: 99%

“…(13) -is the starting point of a mathematical development that lead to solve this disturbance rejection problem [8]. Substituting these matrixes in Eq.…”

Section: )7 7khru\mentioning

confidence: 99%

“…A sequential design methodology for non-diagonal QFT controllers [6], [8], [10], is applied to reject the disturbance specifications established, taking into account the reduction of interactions among loops.…”

Section: )7 7khru\mentioning

confidence: 99%

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Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems

Barreras¹

2004

REPQJ

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$EVWUDFW This paper addresses the control of a heat exchanger placed in a solar water heating system and influenced by external disturbances at plant output. Heat exchangers play an essential role in industries that use renewable sources for energy generation and water heating, i.e. geothermal, solar, ocean, etc. One of the main control targets of such systems is to achieve a simultaneous and accurate control of some temperatures. A multivariable (MIMO) model of the heat exchanger of a solar plant, and a robust controller able to govern the system despite the external disturbances and loop interactions are developed in this work. The MIMO methodology for the non-diagonal controller design is based on the Quantitative Feedback Theory (QFT). .H\ ZRUGVMultivariable control, QFT control, solar systems, heat exchanger, power plants, disturbance rejection. ,QWURGXFWLRQIn a society with increasing energy demand and decreasing supplies it is necessary to develop the potential renewable resources. For this reason and thanks to the significant scientific and technological developments occurred in the last few decades, new renewables, e.g. solar, bioenergy, geothermal and wind, are emerging and are being the target of a great deal of researches. As a consequence, thermal and power generation industries sustained with these alternative sources of energy are becoming very important lately.On the other hand, heat exchangers play an essential role in a wide range of applications in this kind of industries. From geothermal plants to OTEC systems or solar heaters, heat exchangers perform key duties in electricity production or domestic heating by evaporating or condensing working fluids. Due to the importance of these devices, an accurate control of the output temperatures is essential to work at full capacity and to meet the industrial requirements.Heat exchangers can be considered as multivariable systems because the aim is to control more than one output temperature by manipulating several variables. Due to this multivariable condition and the presence of external disturbances and model uncertainties, a robust methodology based on Quantitative Feedback Theory is proposed in here to improve reliability and control performance in terms of disturbance rejection.The paper addresses the problem of external disturbance rejection at plant output in a solar water heating system described by a 2x2 transfer matrix [1]. The desired specifications of the closed loop system (disturbance rejection and robust stability) must be achieved despite the severe coupling and the large parametric uncertainty of the process. The remainder of this paper is organized as follows. Next section presents the mathematical model of the heat application, followed by the required design specifications. Third section intends to review briefly those principles of the QFT methodology that are considered particularly useful. The following section goes into detail on the procedure to design a nondiagonal controller for external disturbance rejection. This section ...

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“…The approach applied in this paper [8] integrates previous techniques [6], [9], [10] and designs a fully populated controller for multivariable systems.…”

Section: Qwurgxfwlrqmentioning

confidence: 99%

“…(13) -is the starting point of a mathematical development that lead to solve this disturbance rejection problem [8]. Substituting these matrixes in Eq.…”

Section: )7 7khru\mentioning

confidence: 99%

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Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems

Barreras¹

2004

REPQJ

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“…The new method is applied without needing the hypothesis that limited the application of the previous technique [20][21][22][23][24]. Furthermore, the diagonal compensators are now directly involved in the reduction of coupling (G is a full matrix), and the resulting off-diagonal compensators for the new approach (9) are the same as those of the former one (10) plus some new terms.…”

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confidence: 99%

“…GARCIA-SANZ, I. EGUINOA AND S. BENNANI For tracking or disturbance rejection at plant output, the expression of the previous non-diagonal MIMO QFT methodology described in [5,[20][21][22][23][24] for 2×2 MIMO plants was…”

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confidence: 99%

Non‐diagonal MIMO QFT controller design reformulation

García-Sanz

Eguinoa

Bennani

2008

Intl J Robust & Nonlinear

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SUMMARYThis paper presents a reformulation of the full-matrix quantitative feedback theory (QFT) robust control methodology for multiple-input-multiple-output (MIMO) plants with uncertainty. The new methodology includes a generalization of previous non-diagonal MIMO QFT techniques; avoiding former hypotheses of diagonal dominance; simplifying the calculations for the off-diagonal elements, and then the method itself; reformulating the classical matrix definition of MIMO specifications by designing a new set of loop-by-loop QFT bounds on the Nichols Chart, which establish necessary and sufficient conditions; giving explicit expressions to share the load among the loops of the MIMO system to achieve the matrix specifications; and all for stability, reference tracking, disturbance rejection at plant input and output, and noise attenuation problems. The new methodology is applied to the design of a MIMO controller for a spacecraft flying in formation in a low Earth orbit.

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Robust control of water quality in intensive aquaculture using multi‐variable quantitative feedback theory: From an Indian context

Chakravarty

Sinha

Baishya

et al. 2022

Asian Journal of Control

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This paper addresses the problem of controlling turbidity, dissolved oxygen, ammonium‐ion concentration, and water‐temperature to maintain the desired water quality in an intensive aquaculture plant. The research is carried out to fit into the present scenario of intensive aquaculture in India. The plant model along with uncertain parameters are derived using physical laws and the data acquired from an aquaculture pond in Assam, India. A pre‐compensated multi‐variable quantitative feedback theory (QFT)‐based fully populated robust matrix controller is proposed to mitigate the control challenge. A novel method is used to design the pre‐compensator to enhance the diagonal dominance of plant transfer function matrix. The desired robust stability, reference tracking, and sensitivity specifications are fulfilled by the proposed QFT‐based robust controller despite the parametric uncertainty. The effectiveness of the proposed method is validated through numerical simulation. A comparative study against a H∞$$ {H}_{\infty } $$ controller shows that the proposed controller strategy gives a satisfactory performance compared to it.

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Design of quantitative feedback theory non-diagonal controllers for use in uncertain multiple-input multiple-output systems

Cited by 30 publications

References 11 publications

Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems

Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems

Non‐diagonal MIMO QFT controller design reformulation

Robust control of water quality in intensive aquaculture using multi‐variable quantitative feedback theory: From an Indian context

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