Equivalent transfer function method for PI/PID controller design of MIMO processes

Xiong, Qiang; Cai, Wenjian; He, Mao-Jun

doi:10.1016/j.jprocont.2007.01.004

Cited by 123 publications

(89 citation statements)

References 25 publications

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“…The third case is somewhat special because it is dedicated to processes that show an integrator associated to one output. given by (21) and (22), respectively, at the corresponding frequencies ω cp and ω cg shown in (21) and (22) . (23) If a phase margin less than 90º or a gain margin greater than 1 is specified, the value of k i can be directly calculated by means of (24) or (25) …”

Section: Realizabilitymentioning

confidence: 99%

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Centralized Inverted Decoupling Control

Garrido

Vázquez

Morilla

2013

Ind. Eng. Chem. Res.

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Abstract:This paper presents a new methodology of multivariable centralized control based on the structure of inverted decoupling. The method is presented for general n×n processes, obtaining very simple general expressions for the controller elements with a complexity independent of the system size. The possible configurations and realizability conditions are stated. Then, the specification of performance requirements is carried out from simple open loop transfer functions for three common cases. As a particular case, it is shown that the resulting controller elements have PI structure or filtered derivative action plus a time delay when the process elements are given by first order plus time delay systems. Comparisons with other works demonstrate the effectiveness of this methodology through the use of several simulation examples and an experimental lab process.

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Section: Realizabilitymentioning

confidence: 99%

“…On the other hand, Figure 1b represents a pure centralized control system with K(s) being the n-dimensional full matrix controller. Under the paradigm of decoupling control, some methodologies [17][18][19][20][21][22][23][24] have been developed using this scheme. Most of them propose to find a K(s)…”

Section: Introductionmentioning

confidence: 99%

Centralized Inverted Decoupling Control

Garrido

Vázquez

Morilla

2013

Ind. Eng. Chem. Res.

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“…K(s) works as the only block to control the different measurement signals and to reduce the interactions. In recent years, several methodologies were developed for this design [16][17][18][19][20][21][22][23].…”

Section: Insert Here Figurementioning

confidence: 99%

“…They are preferred over more advanced controllers in practical applications unless PID controls cannot meet the specifications. Therefore, the resultant controller K(s) in several methodologies [16,21,22,23] is a multivariable PID control.…”

Section: Most Of Them Propose To Find a K(s) Such That The Closed Loomentioning

confidence: 99%

“…Although model predictive control (MPC) is becoming the standard technique to solve multivariable control problems in the process industry, several authors [10,19,21] claim that MPC is mostly used on a higher level to provide setpoints to the PID controllers that are operating on the basic level. The MPC is operating in a supervisory mode with sampling times that are longer than the sampling times in the PID controllers at the lower level.…”

Section: Insert Here Figurementioning

confidence: 99%

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Centralized multivariable control by simplified decoupling

Garrido

Vázquez

Morilla

2012

Journal of Process Control

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PI controller design for a TITO system based on delay compensated structure and direct synthesis

Jin

Zhu

Wang³

et al. 2016

Can J Chem Eng

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The present study suggests a new scheme to design a decentralized PI controller for two‐input two‐output (TITO) processes. The decentralized controller is obtained from the direct synthesis method. The decoupler is derived from a modified decoupler and minimizes the interaction between the loops. Then a new reduced method based on equivalent transfer function (ETF) with relative gain array concept and relative normalized relative gain array concept reduces the decoupled process transfer functions to first‐order plus time delay (FOPTD) forms. Further, two PI controllers are obtained in the proposed delay‐compensated configuration in terms of the only parameter in every individual loop for the FOPTD transfer functions. Three illustrative examples demonstrate that the performance is verified on the original interactive system and show the effectiveness of the proposed design method. The results confirm the superior performance of the proposed compensation configuration in nominal and robust cases. The proposed method also offers several important advantages compared to other previous methods.

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Equivalent transfer function method for PI/PID controller design of MIMO processes

Cited by 123 publications

References 25 publications

Centralized Inverted Decoupling Control

Centralized Inverted Decoupling Control

Centralized multivariable control by simplified decoupling

PI controller design for a TITO system based on delay compensated structure and direct synthesis

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