An iterative method for tuning decentralized PID controllers

Vázquez, Francisco; Morilla, Fernando; Dormido, Sebastián

doi:10.1016/s1474-6670(17)56254-0

Cited by 37 publications

(49 citation statements)

References 4 publications

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“…In this case, specifying a desired diagonal matrix L(s) or H(s) as requirement in the design, the matrix K(s) can be calculated according to (1) or (2), respectively. …”

Section: L(s)=g(s)·k(s) Is Diagonal Over That Bandwidthmentioning

confidence: 99%

“…To name these possibilities, the authors propose a notation in which the indicated number corresponds to the column with the selected element. For instance, in a 3×3 system, configuration 1-2-3 means that elements Kd (1,1), Kd (2,2) and Kd (3,3) are selected; configuration 2-3-1 means that elements Kd (1,2), Kd (2,3) and Kd (3,1) are chosen, and so on. The expression of the controller elements for each configuration is different, which is interesting because some choices can result in non-realizable controller elements.…”

Section: Centralized Inverted Decoupling Control For N×n Processesmentioning

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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“…In this case, specifying a desired diagonal matrix L(s) or H(s) as requirement in the design, the matrix K(s) can be calculated according to (1) or (2), respectively. …”

Section: L(s)=g(s)·k(s) Is Diagonal Over That Bandwidthmentioning

confidence: 99%

Section: Centralized Inverted Decoupling Control For N×n Processesmentioning

confidence: 99%

Centralized Inverted Decoupling Control

Garrido

Vázquez

Morilla

2013

Ind. Eng. Chem. Res.

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“…However, like most other methodologies, it focuses on systems with two inputs and two outputs (TITO systems). In this case, the simplified decoupling D(s) is given by expression (2), obtaining the decoupled apparent process Q(s) in expression (3). The authors have found very few published works in which simplified decoupling is applied to processes that are larger than a 2×2 system; in cases where the system is larger than 2×2, the decoupler elements set to unity are always the diagonal ones as found using expression (4) [24].…”

Section: Insert Here Figurementioning

confidence: 99%

“…To cope with this problem, control engineers traditionally use single-loop PID controllers because these controllers can be easily understood and implemented [1]. These decentralized approaches can work properly when the interactions in different channels of the process are modest [2][3][4][5]. However, a MIMO process can be much more difficult to control with strong interactions between the channels.…”

Section: Introductionmentioning

confidence: 99%

Centralized multivariable control by simplified decoupling

Garrido

Vázquez

Morilla

2012

Journal of Process Control

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“…The next step could be comparing the performance against a controller tuned for MIMO processes [14]. Figure 6 shows the tuning of the PID controller on the process P (s) with the specifications: overshoot %OS < 5%, robustness Ro > 0.7 and settling time T s < 200 seconds.…”

Section: Computer Aided Pid Design: Frtoolmentioning

confidence: 99%

Validation of a multivariable relay-based PID autotuner with specified robustness

Keyser

Maxim

Copot

et al. 2013

2013 IEEE 18th Conference on Emerging Technologies &Amp; Factory Automation (ETFA)

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This paper presents a multivariable relay-based PID autotuning strategy, which ensures a specified modulus margin (i.e. robustness). The algorithm is applied on the coupled quadruple tanks from Quanser. The system is challenging for control since it presents non-minimum phase transmission zeros. The performance of the autotuner is validated against a computer-aided design tool based on the frequency response, i.e. FRTool. The experimental results suggest that the proposed autotuning procedure has similar performance as the control design based on full knowledge of the system. This is a remarkable conclusion and provides a good motivation to claim that our algorithm may be useful in chemical process applications where full knowledge of the systems model is still a burden for the control engineer.

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An iterative method for tuning decentralized PID controllers

Cited by 37 publications

References 4 publications

Centralized Inverted Decoupling Control

Centralized Inverted Decoupling Control

Centralized multivariable control by simplified decoupling

Validation of a multivariable relay-based PID autotuner with specified robustness

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