A dead-beat internal model control for trajectory tracking in discrete- time linear system

• Autorzy: Mahmoud Ines , Saidi Imen

Identyfikatory

DOI

10.15199/48.2023.01.22

Warianty tytułu

PL

Wewnętrzna kontrola modelu martwego uderzenia do śledzenia trajektorii w dyskretnym systemie liniowym

• Języki publikacji: EN

Abstrakty

EN

In this paper, a robust control law is applied. This command is called dead-beat internal model control. The application of this command on a discrete-time linear system presents good performance in precision, low overshoots and tracking of reference trajectories, which shows the effectiveness of the proposed command. The effect of the controller by dead-beat internal model that the error vanishes in a finite and minimal number of sampling periods and remains zero thereafter.

PL

W niniejszym artykule zastosowano solidne prawo kontrolne. To polecenie nazywa się kontrolą martwego modelu wewnętrznego. Zastosowanie tego polecenia na liniowym systemie dyskretnym daje dobre wyniki w precyzji, małych przeregulowaniach i śledzeniu trajektorii odniesienia, co świadczy o skuteczności proponowanego polecenia. Efekt działania regulatora przez martwy model wewnętrzny polegający na tym, że błąd zanika w skończonej i minimalnej liczbie okresów próbkowania, a następnie pozostaje zerowy.

Słowa kluczowe

EN

dead-beat response; internal model control; discrete-time linear system; zero static error

PL

odpowiedź impulsu martwego; sterowanie modelem wewnętrznym; układ liniowy z czasem dyskretnym

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2023
• Tom: R. 99, nr 1
• Strony: 116--119
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Mahmoud Ines

• Tunisian Ministry of Defence, Air Force Army, Aviation School of Borj El Amri

• https://orcid.org/0000-0001-6596-7050

autor

Saidi Imen

• University of Tunis El Manar Tunis, Tunisia. Automatic Research Laboratory, LA.R. A, National Engineering School of Tunis

• https://orcid.org/0000-0001-7366-3022

Bibliografia

• [1] Garcia C. G., Morari M., Internal model control. 1.a unifying review and some results, Industrial Engineering Chemistry Process Design and Development, 2 (1982), 403–411.
• [2] Saidi I., Touati N., Nonlinear predictive control for trajectory tracking of underactuated mechanical systems, Przegląd Elektrotechniczny, 97 (2021), nr. 6, 30-33.
• [3] Saidi I., Touati N., Sliding mode control to stabilization of nonlinear Underactuated mechanical systems, Przegląd Elektrotechniczny, 97 (2021), nr. 7, 106-109.
• [4] Manai N.H., Saidi I.,Soudani D., Predictive control of an underactuated System, The 3rd International Conference on Advanced Systems and Emergent Technologies, Tunisia (2019), 90-95.
• [5] Rivals I., Personnaz, L. Internal model control using neural networks, IEEE International Symposium on Industrial Electronics, Poland, (1996), 109-114.
• [6] Bejaoui I., Saidi I., Soudani D., New Internal Model Controller design for discrete over-actuated multivariable system, 4thInternational Conference on Control Engineering & Information Technology (CEIT), Hammamet, 2016.
• [7] Bejaoui I., Saidi I., Xibilia M. G., Soudani D., Internal model control of discrete non-minimum phase over-Actuated systems with multiple time delays and uncertain parameters, Journal of Engineering Science and Technology Review, 12(2019), no. 2, 111-118.
• [8] Saidi I., Touati N., Dhahri A., Soudani D., A comparative study on existing and new methods to design internal model controllers for non-square systems, Transactions of the Institute of Measurement and Control, 41 (2019), no.13, 3637-3650.
• [9] Wang Q. G., Zhang Y., Zhang Y., A modified internal model control scheme with simplified design and implementation. Chemical Engineering Communications, 184 (2001), no.1, 35-47.
• [10] Dhahri A., Saidi I., Soudani D., Internal model control for multivariable over-actuated systems with multiple time delay, 4th International Conference on control Engineering and Information Technology, Tunisia, (2016), 623-626.
• [11] Touati N., Saidi I., Dhahri A., Soudani D., Internal multimodel control for nonlinear overactuated systems, Arabian Journal for Science and Engineering, 44(2019), no.3, 2369-2377.
• [12] Bejaoui I., Saidi I., Soudani D., Internal model control of MIMO discrete under-Actuated systems with real parametric uncertainty, Proceedings of the 2nd International Conference on Advanced Systems and electric Technologies (IC_ASET), Tunisia (2018), 308-314.
• [13] Hoagg J. B., Dennis, Bernstein S., Deadbeat Internal ModelControl for Command Following and Disturbance Rejection in Discrete-Time Systems, Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, 2006.
• [14] Elaydi H., Paz R. A., Optimal ripple-free deadbeat controllers for systems with time delays Proceedings of the 1998 American Control Conference, 1998, 655–659.
• [15] Jetto L., Longhi S., Parameterized solution of the dead-beat ripple-free control problem for multirate sampled-data systems, Proceedings of the 38th IEEE Conference on Decision and Control, 1999, 3914–3919.
• [16] Touati N., Saidi I., Internal model control for underactuated systems based on novel virtual inputs method, Przegląd Elektrotechniczny, 97(2021), nr 9, 95-99.
• [17] Hamdy M., Shalaby R., Sallam M., A hybrid partial feedbacklinearization and deadbeat control scheme for a nonlinear gantry crane, Journal of the Franklin Institute, 355(2018), No.14, 6286-6299.
• [18] Saidi I., Dhahri A., Soudani D., IMC Controllers for Uncertain Multivariable Over-Actuated Systems, International Conference on Advanced Systems and Electric Technologies (IC_ASET), Tunisia, (2017), 346-350.
• [19] Touati, N., Saidi, I. Soudani, D., Modified internal modelcontrol for unstable systems. International Conference on Advanced Systems and Electric Technologies, Tunisia, (2018), 352-356.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).