Improvement on an inverted decoupling technique for a class of stable linear multivariable processes

Chen, Pei Ying; Zhang, Wensheng

doi:10.1016/j.isatra.2006.09.002

Cited by 45 publications

(30 citation statements)

References 22 publications

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“…It is rarely mentioned in the literature [11], [21], [22], [23], and in those cases, it is only applied to TITO processes using the scheme depicted in Figure 2. In this case, it is possible to keep the same apparent process of ideal decoupling while using the simple decoupler elements of simplified decoupling [11].…”

Section: Insert Here Figure 1 -1 D(s) = G (S)·q(s)mentioning

confidence: 99%

“…Chen and Zhang [23] improved upon the inverted decoupling technique for a class of stable linear multivariable processes with multiple time delays and non-minimum-phase zeros.…”

Section: Insert Here Figure 1 -1 D(s) = G (S)·q(s)mentioning

confidence: 99%

“…In the case of 3x3 processes, the cofactor of g 11 is G 11 = g 22 ·g 33 -g 32 ·g 23 . Therefore, it is easy to find that the expressions of the inverted decoupler elements in (17) are much simpler than the simplified decoupler elements in (18).…”

Section: Inverted Decoupling For 3x3 Processesmentioning

confidence: 99%

“…Therefore, as mentioned in [23], it seems that inverted decoupling cannot be applied in general to a process with a determinant that has RHP zeros. To apparently solve it, in [23], the decoupler structure is changed from inverted decoupling to conventional ideal decoupling without feedback, and so, the inverted decoupling structure is not used.…”

Section: Insert Here Figurementioning

confidence: 99%

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An extended approach of inverted decoupling

Garrido

Vázquez

Morilla

2011

Journal of Process Control

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Section: Insert Here Figure 1 -1 D(s) = G (S)·q(s)mentioning

confidence: 99%

“…Chen and Zhang [23] improved upon the inverted decoupling technique for a class of stable linear multivariable processes with multiple time delays and non-minimum-phase zeros.…”

Section: Insert Here Figure 1 -1 D(s) = G (S)·q(s)mentioning

confidence: 99%

Section: Inverted Decoupling For 3x3 Processesmentioning

confidence: 99%

Section: Insert Here Figurementioning

confidence: 99%

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An extended approach of inverted decoupling

Garrido

Vázquez

Morilla

2011

Journal of Process Control

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“…However, the inverted decoupling technique cannot be applied to MIMO processes which possess right half plane (RHP) zeros. In view of this gap, another improved inverted decoupling technique was proposed by Chen and Zhang [23]. This modified inverted decoupling technique is able to address the multiple time-delays and RHP zeros.…”

Section: Introductionmentioning

confidence: 99%

Inter-Communicative Decentralized Multi-Scale Control (ICD-MSC) Scheme: A New Approach to Overcome MIMO Process Interactions

Nandong

Zang

2014

Chemical Product and Process Modeling

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Decentralized PID control has been extensively used in process industry due to its functional simplicity. But designing an effective decentralized PID control system is very challenging because of process interactions and dead times, which often impose limitations on control performance. In practice, to alleviate the detrimental effect of process interactions on control performance, decoupling controllers are often incorporated into a decentralized control scheme. In many cases, these conventional decoupling controllers are not physically realizable or too complex for practical implementation. In this paper, we propose an alternative scheme to overcome the performance limitation imposed by process interactions. This new control scheme is extended from the SISO multi-scale control scheme previously developed for nonminimum-phase processes. The salient feature of the new control scheme lies in its communicative structure enabling collaborative communication among all the sub-controllers in the system. This communicative structure serves the purpose of reducing the detrimental effect of process interactions leading to improved control performance and performance robustness. Extensive numerical study shows that the new control scheme is able to outperform some existing decentralized control schemes augmented with traditional decoupling controllers.

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Generalized discrete decoupling and control of MIMO systems

Pandey

Dey

Banerjee

2022

Asian Journal of Control

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This paper proposes an efficient discrete-time decoupling algorithm for multiple input multiple output (MIMO) systems having strong coupling between inputs and outputs. A design method for discrete decouplers is proposed to eliminate the cross-coupling effects present in MIMO systems. The proposed decoupling technique is based on relative gain array (RGA) approach of MIMO system. In order to perform closed-loop control, individual discrete-time PID controllers are designed based on Kharitonov theorem for each of the SISO control loops of the resulting decoupled MIMO system. The closed-loop performance of the MIMO system under consideration is investigated in simulation and in real time which illustrate that the proposed decoupling algorithm satisfactorily nullifies the interaction between the inputs and outputs. The control scheme exhibits perfect tracking of the reference commands even in presence of disturbances. Twin rotor MIMO system (TRMS) is considered as the real-time example to validate the proposed method. Further, the performance of the compensated TRMS system is analyzed in frequency domain in presence of common actuator nonlinearities dead zone and saturation together. The performances of the controllers are found to be efficient even in presence of actuator nonlinearities.

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Improvement on an inverted decoupling technique for a class of stable linear multivariable processes

Cited by 45 publications

References 22 publications

An extended approach of inverted decoupling

An extended approach of inverted decoupling

Inter-Communicative Decentralized Multi-Scale Control (ICD-MSC) Scheme: A New Approach to Overcome MIMO Process Interactions

Generalized discrete decoupling and control of MIMO systems

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