Internal model control of MIMO discrete under-actuated systems with real parametric uncertainty

Bejaoui, Islem; Saidi, Imen; Soudani, Dhaou

doi:10.1109/aset.2018.8379874

Cited by 3 publications

(6 citation statements)

References 14 publications

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“…It is obvious that once In the traditional internal model controller design [12], adding the filter is used to supplement the model mismatch and ignore the error caused by the non-minimum phase portion, as shown in equation (17).…”

Section: Imc Structure Based On Singular Value Decompositionmentioning

confidence: 99%

“…To successfully apply our approach, firstly we need to modify the IMC basic structure mentioned in Figure 1, so that it becomes applicable to underactuated systems with more outputs than control inputs. Secondly, we design an approximate inverse of the model plant which is inspired by the studies of [16,17] in the case of MIMO systems and over-actuated systems [18].…”

Section: Imc Structure Based On Virtual Inputs (Vi)mentioning

confidence: 99%

“…The modified IMC structure presented in Figure 3 is characterized by two more blocks with respect to the basic IMC structure presented in Figure 1 [19]. The first new block is the Virtual Inputs Augmentation VIA (z) which is used to augment the system inputs inserting virtual (n× (n -m)) column to the transfer matrix of the non-square system in order to make it of dimension (n × m), so that it can be inverted.…”

Section: Imc Structure Based On Virtual Inputs (Vi)mentioning

confidence: 99%

“…The first new block is the Virtual Inputs Augmentation VIA (z) which is used to augment the system inputs inserting virtual (n× (n -m)) column to the transfer matrix of the non-square system in order to make it of dimension (n × m), so that it can be inverted. The second one is the Virtual Inputs Removing VIR (z) block which is used to eliminate the exceeding virtual inputs [19]. The inserting columns mentioned previously can be chosen as first-order transfer functions, which verify the stability criterion, and in order to simplify the study and avoid inversion problems [19].…”

Section: Imc Structure Based On Virtual Inputs (Vi)mentioning

confidence: 99%

“…The second one is the Virtual Inputs Removing VIR (z) block which is used to eliminate the exceeding virtual inputs [19]. The inserting columns mentioned previously can be chosen as first-order transfer functions, which verify the stability criterion, and in order to simplify the study and avoid inversion problems [19].…”

Section: Imc Structure Based On Virtual Inputs (Vi)mentioning

confidence: 99%

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2021

Interdisciplinary Description of Complex Systems

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This article provides a comparative analysis of two common control configurations used to control the side-stream distillation used to separate benzene, toluene and xylene as suggested by Doukas and Lyben. Their under-actuated model has been considered as the model of distillation column and the internal model controller is designed considering a Singular Value Decomposition (SVD) and Virtual Inputs (VI) techniques. An internal controller design based on VI is proposed in this article for this kind of underactuated systems. This design is used to control in parallel the distillation process and its model in real time. The proposed controller design is simple and systematic in relation with the desired closed loop specifications of the internal model control structure. Furthermore, the controller obtained ensure robustness to process variations. The SVD technique can realize the decoupling of under-actuated processes and wipe out unrealizable factors by introducing compensation terms, affecting the dynamic of the system. The aim of this article is to make a comparison between our proposed VI controller and the SVD approach. The results we obtained confirmed the potentials of the proposed controller based on VI considering the set point tracking and its robustness.

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Section: Imc Structure Based On Singular Value Decompositionmentioning

confidence: 99%