Robust Nondiagonal Controller Design for Uncertain Multivariable Regulating Systems

Franchek, Matthew A.; Herman, Paul; Nwokah, O.D.I.

doi:10.1115/1.2801220

Cited by 26 publications

(26 citation statements)

References 9 publications

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“…Different solutions were proposed in the literature to deal with different variations of this problem [2], [3], [4], [5], [6], [7]. 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%

“…This is only a sufficient condition to guarantee the stability of the system. Consequently, the designer must pay close attention to systems with non minimum phase or unstable elements [7], [16].…”

Section: )7 7khru\mentioning

confidence: 99%

“…Consequently this term will be called the coupling matrix for the rejection of external disturbances at plant output and will be denoted as & do . The design method is a sequential procedure closing loops [7], that uses fully populated matrix controllers. The end of this section outlines the step that must be followed in order to complete the whole procedure.…”

Section: )7 7khru\mentioning

confidence: 99%

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Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems.

Barreras¹

2024

RE&PQJ

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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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Section: Qwurgxfwlrqmentioning

confidence: 99%

Section: )7 7khru\mentioning

confidence: 99%

Section: )7 7khru\mentioning

confidence: 99%

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Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems.

Barreras¹

2024

RE&PQJ

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“…These terms could then be used to reduce the level of coupling in open loop, and therefore reduce the amount of feedback needed in the diagonal compensators to fulfil the required specifications (Horowitz, 1982). Furthermore, as (Franchek et al, 1997) demonstrated, non-diagonal compensators can be used for ensuring that no SISO loop introduces extra unstable poles into the subsequent loops in sequential procedures based on the inverse plant domain, e.g. Horowitz's second method (Horowitz, 1982), -accordingly, this is not possible in Mayne's (Mayne, 1973;, or Park's (Park et al, 1994) framework-.…”

Section: Overviewmentioning

confidence: 99%

“…The full-matrix pre-compensator is accordingly designed to reduce the coupling before designing a diagonal QFT controller. On the other hand, Franchek and collaborators (Franchek et al, 1995), (Franchek et al, 1997) introduced a non-diagonal sequential procedure. They made use of the Gauss elimination technique (Bryant , 1985) to introduce the effects of the controllers previously designed by means of a recursive expression.…”

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Advanced Attitude and Position MIMO Robust Control Strategies for Telescope-Type Spacecraft with Large Flexible Appendages

García-Sanz¹,

Eguinoa²,

Barreras³

2011

Advances in Spacecraft Technologies

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Non‐sequential MIMO QFT control of the X‐29 aircraft using a generalized formulation

Kerr

Lan

Jayasuriya

2006

Intl J Robust & Nonlinear

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SUMMARYThis paper presents a generalized formulation for multi-input multi-output (MIMO) quantitative feedback theory (QFT) based controller design and analysis, and its application to the control of the X-29 aircraft. The formulation is based on a more general control structure, where input and output transfer function matrices are included to provide additional degrees of freedom in the decentralized MIMO QFT feedback structure, that facilitates the exploitation of directions in MIMO QFT designs. The formulation captures existing design approaches for fully populated MIMO QFT controller design and provides for a directional design logic involving the plant and controller alignment and the directional properties of their multivariable poles and zeros. Horowitz's Singular-G design methodology is placed in the context of the generalized formulation and the Singular-G design for the X-29 is analysed and redesigned using nonsequential MIMO QFT and the formulation, demonstrating its utility. The results highlight a fundamental trade-off between multivariable controller directions for stability and performance in classically formulated design methodologies, elucidate the properties of Singular-G designed controllers for the X-29 and validate recent contributions to the theory for non-sequential MIMO QFT.

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Robust Nondiagonal Controller Design for Uncertain Multivariable Regulating Systems

Cited by 26 publications

References 9 publications

Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems.

Multivariable QFT Controllers Design for Heat Exchangers of Solar Systems.

Advanced Attitude and Position MIMO Robust Control Strategies for Telescope-Type Spacecraft with Large Flexible Appendages

Non‐sequential MIMO QFT control of the X‐29 aircraft using a generalized formulation

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