APPRENTISSAGE DE COMMANDE POUR LE SUIVI DE TRAJECTOIRE D'UN PENDULE INVERSÉ À ROUE D'INERTIE NON LINÉAIRE

Auteurs

  • IMEN SAIDI Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, Tunisia Author
  • NAHLA TOUATI Université de Tunis, Ecole Nationale Supérieure d’Ingénieurs de Tunis, Tunisia Author

DOI :

https://doi.org/10.59277/RRST-EE.2023.4.17

Mots-clés :

Système sous-actionné non linéaire, Algorithme de contrôle d’apprentissage itératif, La stabilité, Suivi

Résumé

Cet article propose le contrôle d'apprentissage itératif pour les systèmes sous-actionnés non linéaires. Pour améliorer la vitesse de convergence du contrôle d'apprentissage itératif pour de tels systèmes et réduire la fluctuation de l'erreur du système, un algorithme de contrôle d'apprentissage itératif en boucle fermée de type D à gain variable exponentiel a été choisi. L'analyse de simulation MATLAB a ensuite été réalisée sur un système sous-actionné, non linéaire et instable, à savoir le pendule inversé à roue d'inertie. Les résultats de la simulation montrent que l'algorithme est efficace. De bonnes performances de suivi ont été obtenues. Le système converge vers des cycles limites stables après quelques itérations, garantissant des erreurs fluides et une vitesse de convergence satisfaisante.

Références

H. S. Ahn, Y. Chen, K. L. Moore, Iterative learning control: brief survey and categorization, IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews), 37, 6, pp. 1099–1121 (2007).

S. Arimoto, S. Kawamura, F. Miyazaki, Bettering operation of robotics by leaning, Journal of Robotic systems, 1, 2, pp. 123–140 (1984).

D. Meng, K. L. Moore, Robust iterative learning control for non-repetitive uncertain systems, IEEE Transactions on Automatic Control, 62, 2, pp. 907–913 (2017).

Y. Li, A. An, J. Wang, H. Zhang, Iterative learning control of exponential variable gain based on initial state learning for upper limb rehabilitation robot, Chinese Automation Congress, 11, 22, pp. 4947–4952 (2019).

F. Bouakrif, Iterative Learning Control for Strictly Unknown Nonlinear Systems Subject to External Disturbances, International Journal of Control, Automation, and Systems, 9, 4, pp. 642-648 (2011).

N. Ali, W. Alam, M. Pervaiz, J. Iqbal, Nonlinear adaptive backstepping control of permanent magnet synchronous motor, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 66, 1, pp. 9–14, (2021).

R. Arun, R. Muniraj, M. S.W. Iruthayarajan, Performance analysis of proportional integral derivative controller with delayed external reset and proportional integral derivative controller for time delay process, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 66, 4, pp. 267–273, (2021).

R. Muniraj, M. Willjuice Iruthayarajan, R. Arun, T. Sivakumar, Parameter optimization of multi objective robust proportional integral derivative controller with filter using multi objective evolutionary algorithms, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 64, 3, p. 259-265, (2019)

Y. Q. Chen, K. L. Moore, J. Yu, T. Zhang, Iterative Learning Control and Repetitive Control in Hard Disk Drive Industry—a Tutorial, International Journal of Adaptive Control and Signal Processing, 22, 4, pp. 325–343 (2008).

F. Bouakrif, Reference model iterative learning control for linear systems, 18th Mediterranean Conference on Control and Automation, Marrakech, 2010.

I. Saidi, N. Touati, Nonlinear Predictive Control for Trajectory Tracking of Underactuated Mechanical Systems, Przegląd Elektrotechniczny, 97, 6, pp. 30-33 (2021).

I. Bejaoui, I. Saidi, D. Soudani, New Internal Model Controller design for discrete over-actuated multivariable system,” 4th International Conference on Control Engineering & Information Technology, Tunisia, 2016.

Y. Hu, B. Zuo, J. Li, Fast Algorithm of Open-Closed Loop PD-type Iterative Learning Control for DC motor, IEEE 2006 6th World Congress on Intelligent Control and Automation, China, 2006.

R. Longman, Iterative Learning Control and Repetitive Control for Engineering Practice, Automation and Systems, 73, 10, pp. 930–954 (2012).

D. Ke, Q. Ai, W. Meng, C. Zhang, Q. Liu, Fuzzy PD-type Iterative Learning Control of a Single Pneumatic Muscle Actuator, Intelligent Robotics and Applications, 7, 16, pp. 812–822 (2017).

Y. Sun, Z. A. Li, Open-loop D-type Iterative Learning Control for a Class of Nonlinear systems with Arbitrary Initial Value, Journal of System Simulation, 20, 24, pp. 6767-6770 (2008).

Q. Jia, R. Ma , C. Zhang, R. Varatharajoo, Spacecraft Attitude Fault-tolerant Stabilization Against Loss of Actuator Effectiveness: A Novel Iterative Learning Sliding Mode Approach, Advances in Space Research, 72, 2, pp. 529-540 (2023).

S. Lu, S. Jingzhuo, Adaptive PI control of ultrasonic motor using iterative learning methods, ISA Transactions, In press, 2023.

Y. Qiongxia, H. Zhongsheng, X. Jian-Xin, D-Type ILC Based Dynamic Modeling and Norm Optimal ILC for High-Speed Trains, IEEE Transactions on Control Systems Technology, 26, 2, pp. 652 – 663 (2017).

M. X. Sun, B. J. Huang, X. Z. Zhang, PD-type iterative learning control for a class of nonlinear systems, Acta Automatica Sinica, 4, 5, pp. 711-714 (1998).

A. Norouzi, C. R. Koch, Integration of PD-type Iterative Learning Control with Adaptive Sliding Mode Control, 21st IFAC World Congress, 53, 2, pp. 6213–6218 (2020).

Y. Li, A. An, J. Wang, H. Zhang, Iterative Learning Control of Exponential Variable Gain Based on Initial State Learning for Upper Limb Rehabilitation Robot, Chinese Automation Congress , 2019.

R.O. Saber, Global Stabilization of a Flat Underactuated System: the Inertia Wheel Pendulum, Proceedings of the 40th IEEE Conference on Decision and Control, pp. 306–308 (2001).

S. Andary, A. Chemori, S. Krut, Control of the Underactuated Inertia Wheel Inverted Pendulum for Stable Limit Cycle Generation, Advanced Robotics, 3, 15, 1999–2014 (2009).

N. H. Manai, I. Saidi, D. Soudani, Predictive control of an underactuated System, Proceedings of the 2nd International Conference on Advanced Systems and electric Technologie, Hammamet, Tunisia, pp. 90 -95 2019.

I. Saidi, N. Touati, Sliding Mode Control to Stabilization of Nonlinear Underactuated Mechanical Systems, Przegląd Elektrotechniczny, 97, 7, pp. 106-109 (2021).

O. Khan, M. Pervaiz, E. Ahmad, J. Iqbal, On the derivation of novel model and sophisticated control of flexible joint manipulator, Rev. Roum. Sci. Techn. – Electrotechn. et Energ., 62, 1, pp. 103–108 (2017).

A. Hfaiedh, A. Chemori, A. Abdelkrim, Stabilization of the Inertia Wheel Inverted Pendulum by Advanced IDA-PBC Based Controllers: Comparative Study and Real-Time Experiments, 17th International Multi-Conference on Systems, Signals & Devices, Tunisia, 2020

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Publiée

2023-12-23

Numéro

Rubrique

Automatique et ordinateurs | Automation and Computer Sciences

Comment citer

APPRENTISSAGE DE COMMANDE POUR LE SUIVI DE TRAJECTOIRE D’UN PENDULE INVERSÉ À ROUE D’INERTIE NON LINÉAIRE. (2023). REVUE ROUMAINE DES SCIENCES TECHNIQUES — SÉRIE ÉLECTROTECHNIQUE ET ÉNERGÉTIQUE, 68(4), 424-430. https://doi.org/10.59277/RRST-EE.2023.4.17