کنترل تطبیقی سیستم‌های غیرخطی در حضور خرابی عملگر

نوع مقاله: مقاله پژوهشی

نویسنده

استادیار – دانشکده مهندسی برق، واحد نجف‌آباد، دانشگاه آزاد اسلامی، نجف‌آباد، ایران مرکز ریزشبکه‌های هوشمند،‌واحد نجف‌آباد،‌دانشگاه آزاد اسلامی، نجف‌آباد،‌ ایران

چکیده

در این مقاله، یک کنترل کننده تطبیقی برای کنترل یک کلاس از سیستم‌های غیرخطی در معرض پارامترهای نامعین، بهره کنترلی متغیر و با وجود خرابی عملگر ارائه شده است. کنترل کننده ارائه شده می تواند خرابی کاهش کارایی و خرابی قفل شونده در عملگر را کامل جبران کند. مدل خرابی عملگر در نظر گرفته شده قابلیت جبران غالب خرابی‌های قابل وقوع در سیستم های عملی و کاربردی را دارد. کنترل کننده تطبیقی پیشنهادی بر اساس روش کنترلی گام به عقب طراحی شده است. در این مقاله، با معرفی توابع لیاپانوف- کراسوسکی مناسب، قوانین تطبیقی جدیدی طراحی شده است که خرابی‌های نامعین و پارامترهای نامعلوم را جبران می‌کند. روش کنترلی ارائه شده، تعقیب مجانبی خروجی و کرانداری تمامی سیگنال‌های سیستم حلقه بسته را تضمین می‌کند. روش پیشنهادی جهت کنترل بال هواپیما در حضور خرابی متغیر با زمان عملگر استفاده شده است. نتایج شبیه سازی، کارایی و صحت روش کنترلی ارائه شده را نشان می دهد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Adaptive Control of Nonlinear Systems in the presence of Actuator Failures

نویسنده [English]

  • mahnaz hashemi
Assistant Professor - Department of Electrical Engineering, Islamic Azad University, Najafabad Branch, Najafabad, Iran Smart Microgrid Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
چکیده [English]

This paper presents an adaptive state feedback control scheme for a class of nonlinear systems with unknown parameters, variable control gains and in the presence of unknown time varying actuator failures. The designed controller compensates unknown loss of effectiveness failures as well as unknown time varying stuck failures in actuators. The considered actuator failure can cover most failures that may occur in actuators of the practical systems. The proposed adaptive controller is constructed based on a backstepping design method. Appropriate Lyapunov-Krasovskii functionals are introduced to design new adaptive laws to compensate the unknown actuator failures and unknown parameters. The offered method ensures the asymptotic output tracking and the boundedness of all the closed-loop signals. The proposed design approach is employed for a wing rock control of an aircraft in the presence of time varying actuator failures. The simulation results verify the effectiveness and correctness of the proposed adaptive control method.

کلیدواژه‌ها [English]

  • time varying actuator failure
  • Nonlinear systems
  • Adaptive control
  • Backstepping
[1] J.D. Boskovic, J. A. Jackson, R. K. Mehra, N. T. Nguyen, "Multiple-model adaptive fault-tolerant control of a planetary lander",  Journal of Guidance, Control, and Dynamics. Vol. 32, No. 6, pp. 1812-1826, 2009.

[2] Q. Hu, "Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits", Journal of Nonlinear Dynamics. Vol. 55, No. 4, pp. 301-321, 2009.

[3] Q. Hu, B. Xiao, "Adaptive fault tolerant control using integral sliding mode strategy with application to flexible spacecraft", International Journal of Systems and Science, Vol. 44, No. 12, pp. 1-14, 2012.

[4] M.L. Corradini, G. Orlando, "Actuator failure identification and compensation through sliding modes", IEEE Trans. on Control Systems Technology. Vol.15, No. 1, pp. 184-190, 2007.

[5] M. Bodson, J.E.  Groszkiewicz, "Multivariable adaptive algorithms for reconfigurable flight control", IEEE Trans. on Control Systems Technology, Vol. 5, No. 2, pp. 217-229, 1997.

[6] G. Tao, S.M. Joshi, X.L. Ma, "Adaptive state feedback control and tracking control of systems with actuator failures", IEEE Trans. on Automation Control, Vol. 46, No. 1, pp. 78-95, 2001.

[7] G. Tao, S. H.  Chen, S. M. Joshi, "An adaptive failure compensation controller using output feedback", IEEE Trans. on Automatic Control, Vol. 47, No. 3, pp. 506-511, 2002.

[8] G. Tao, S. Chen, S.M. Joshi, "An adaptive actuator failure compensation using output feedback", IEEE Trans. on Automatic Control, Vol.47, No. 3, pp. 506-511, 2002.

[9] X. Tang, G. Tao, S.M. Joshi, "Adaptive actuator failure compensation for MIMO systems with an aircraft control application", Automatica, Vol. 43, No. 11, pp. 1869–1883, 2007.

[10] J. Wang, H-L. Pei, N-Z. Wang, "Adaptive output feedback control using fault compensation and fault estimation for linear system with actuator failure", International Journal of Automation and Computing, Vol. 10, No.5, pp. 463-471, 2013.

[11] J.X. Zheng, Y.G. Hong, "Robust adaptive fault tolerant compensation control with actuator failures and bounded disturbances", Acta Automatica Sinica, Vol. 35, No. 3, pp. 305-309, 2009.

[12] M. Krstic, I. Kanellakopoulos, P. Kokotovic, "Nonlinear and adaptive control design", John Wiley and Sons (New York, 1995).

[13] C. Wen, Y. Zhang, Y. C. Soh, "Robustness of an adaptive backstepping controller without modification", Systems and Control Letters, Vol. 36, No. 2, pp. 87-100, 1999.

[14] X. Tang, G. Tao, M. Joshi, "Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application", Automatica, Vol. 39, No. 11, pp. 1975-1980, 2003.

[15] G. Tao, X. Tang, S. Chen, S. M. Joshi, Adaptive control of systems with actuator failures, Springer (2004).

[16] X. Tang, G. Tao, M. Joshi, "Adaptive output feedback actuator failure compensation for a class of nonlinear systems", International Journal of Adaptive Control and Signal Processing, Vol. 19, No. 6, pp. 419-444, 2005.

[17]  Z. Zhang, C. Weisheng, "Adaptive output feedback control of nonlinear systems with actuator failures", Information Sciences, Vol. 179 , No. 24, pp.4249-4260, 2009.

[18] Z. Zhang, S. Xu, B. Wang, "Adaptive actuator failure compensation with unknown control gain signs", IET Control Theory Application, Vol. 5, No. 16, pp. 1859-1867, 2011.

[19] Z. Zhang, W. Chen, "Adaptive tracking control for actuator failure compensation based on MT-filters", Journal of Systems Science and Complexity, Vol. 23, No. 4, pp. 759-768, 2010.

[20] W. Wang, C. Wen, "Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance", Automatica, Vol. 46, No. 12, pp. 2082-2091, 2010.

[21]S. Zhang, X. Quo, C. Liu, "Neural adaptive compensation control for a class of MIMO uncertain nonlinear systems with actuator failures", Journal of Circuits, Systems, and Signal Processing, Vol.33, No. 6,  pp. 1971-1984,  2013.

[22] X. Qiu, S. Zhang, C. Liu, "Backstepping adaptive compensation control for a class of MIMO nonlinear systems with actuator failures", Proceedings of the IEEE/CCC, pp. 6088-6093, Xi'an, China, July 2013.

[23] A. Mihankhah, F. Salmasi, K. Salahshoor, "Partial and total actuator faults accommodation for input-affine nonlinear process plants", ISA Transactions, Vol. 52, No. 3, pp. 351-357, 2013.

[24] L. Meng, B. Jiang, "Backstepping-based active fault tolerant control for  a class of uncertain SISO nonlinear systems", Journal of Systems Engineering and Electronics, Vol. 20, No. 6, pp. 1263-1270, 2009.

[25] P. Li, G. Yang, "Backstepping adaptive fuzzy control of uncertain nonlinear systems against actuator faults", Journal of Control Theory and Applications, Vol. 7, No. 3, pp. 248–256, 2009.

[26] S. Tong, T. Wang, Y. Li,  "Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics", IEEE Trans. on FuzzySystems, Vol. 22, No. 3, pp. 563-574, 2013