EXTREMUM SEEKING BASED FAULT ESTIMATION FOR OUTPUT FEEDBACK CONTROL OF FLEXIBLE-JOINT ROBOT MANIPULATOR

Yıl 2021, Cilt: 9 Sayı: 2, 455 - 466, 01.06.2021

Selami Beyhan

https://doi.org/10.36306/konjes.760789

Öz

In this paper, an extremum seeking fault estimation based output feedback controller is proposed for the control of flexible-joint robot manipulator. First, using the approximate nonlinear robot model, a extremum seeking controller is designed to minimize the tracking error via output feedback.
Then, in order to prevent the effects of faults, disturbances or unknown dynamics, an extremum seeking based fault estimator is proposed. In order to show that the advantage of the proposed configuration, a flexible-joint manipulator with unknown fault is controlled both in a numerical simulation and real-time experiment. An artificial payload is applied to the end-effector in a simulation environment. But, in the real-time experiment, an additional payload attached to the end effector when it is continuing the process. The approximate model of the robot manipulator is obtained by the state-space identification. As a result using the proposed estimation and controller, acceptable tracking and estimation results are obtained both in numerical and real-time experiments for future applications.

Anahtar Kelimeler

Extremum seeking optimization, output feedback control, fault estimation and tolerance, flexible-joint manipulator, varying payload, stability

Ekstremum Arama Temelli Hata Tahmini ile Esnek Bağlantılı Robot Kolunun Çıkış Geri Besleme Kontrolü

Öz

Bu çalışmada, ekstremum arama hata tahmini ve ekstremum arama temelli çıkış geri besleme kontrolcüsü doğrusal olmayan esnek-bağlantılı robot kolu için önerilmiştir. İlk olarak, doğrusal olmayan sistemin yaklaşık modeli kullanılarak izleme hatasını minimize etmek için çıkış geribesleme ile ekstremum arama denetleyicisi tasarlanmıştır. Daha sonra hataların, bozucu etkilerin ve bilinmeyen dinamiklerin etkisini yok etmek için ekstremum arama hata tahminleyicisi tasarlanmıştır. Önerilen hata tahminleyici temelli kontrolün avantajını göstermek için bilinmeyen yüke sahip esnek-bağlantılı robot kolu benzetim ortamında ve gerçek zamanlı olarak kontrol edilmiştir. Benzetim ortamında yapay bir yük uygulanmıştır. Fakat gerçek-zamanlı deneyde, esnek bağlantılı robot kolu çalışmaya devam ederken üzerine ek yük bağlanmıştır. Esnek-bağlantılı robot kolunun yaklaşık modeli ise durum uzayı tanılama ile elde edilmiştir. Sonuç olarak önerilen tahminleyici ve kontrolör yöntemi ile gelecek uygulamalar içinde kabul edilebilir izleme ve tahmin sonuçları hem benzetim ortamında hem de gerçek-zamanlı deneylerde elde edilmiştir.

Anahtar Kelimeler

Ekstremum arama metodu, çıkış geribesleme kontrol, hata tahmini ve toleransı, esnek bağlantılı robot kolu, değişken yük ve kararlılık

Kaynakça

• Agee J. T., Z. Bingül, and S. Kizir, Tip trajectory control of a flexible link manipulator using an intelligent proportional integral controller," Transactions of the Institute of Measurement and Control, vol. 36, no. 5, pp.673-682, 2014.
• Ariyur, K. B. and M. Krstic, Real Time Optimization by Extremum Seeking Control. New York, NY, USA: John Wiley & Sons, Inc., 2003.
• Astrom K. J. and B. Wittenmark, Adaptive Control, 2nd ed. Boston, MA, USA: Addison-Wesley Longman Publishing Co., Inc., 1994.
• Beyhan S., Adaptive fuzzy terminal sliding-mode observer with experimental applications," International Journal of Fuzzy Systems, vol. 18, no. 4, pp. 585- 594, 2016.
• Brunton S. L., C. W. Rowley, S. R. Kulkarni, and C. Clarkson, Maximum power point tracking for photovoltaic optimization using ripple-based extremum seeking control," IEEE Transactions on Power Electronics, vol. 25, no. 10, pp. 2531-2540, Oct 2010.
• Chen S., L.Wang, K. Ma, and H. Zhao, A switching-based extremum seeking control scheme," International Journal of Control, vol. 0, no. 0, pp. 1-15, 2017.
• Dochain D., M. Perrier, and M. Guay, Extremum seeking control and its application to process and reaction systems: A survey," Mathematics and Computers in Simulation, vol. 82, no. 3, pp. 369- 380, 2011.
• Dower P. M., P. M. Farrell, and D. Nesic, Extremum seeking control of cascaded raman optical amplifiers," IEEE Transactions on Control Systems Technology, vol. 16, no. 3, pp. 396{407, May 2008.
• Groves K. and A. Serrani, Modeling and nonlinear control of a single link exible joint manipulator, Ohio State Univ., 2004.
• Guay M. and D. Dochain, A multi-objective extremum-seeking controller design technique," International Journal of Control, vol. 88, no. 1, pp. 38-53, 2015.
• Guay M., D. Dochain, and M. Perrier, Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics," Automatica, vol. 40, no. 5, pp. 881-888, 2004.
• Hazeleger, Leroy, Mark Haring, and Nathan van de Wouw. "Extremum-seeking control for optimization of time-varying steady-state responses of nonlinear systems." Automatica 119 (2020): 109068.
• Killingsworth N. J. and M. Krstic, PID tuning using extremum seeking: online, model-free performance optimization," IEEE Control Systems, vol. 26, no. 1, pp. 70-79, Feb 2006.
• Krstic M. and H.-H. Wang, Stability of extremum seeking feedback for general nonlinear dynamic systems," Automatica, vol. 36, no. 4, pp. 595-601, 2000.
• Lara G. -Cisneros, R. Femat, and D. Dochain, Robust sliding mode-based extremum-seeking controller for reaction systems via uncertainty estimation approach," International Journal of Robust and Nonlinear Control, 2017, dOI:10.1002/rnc.3736.
• Liu S.-J. and M. Krstic, Stochastic Averaging and Stochastic Extremum Seeking. Springer London, 2012.
• Noura H., D. Theilliol, J.-C. Ponsart, and A. Chamseddine, Fault-tolerant Control Systems: Design and Practical Applications, ser. Series: Advances in Industrial Control. Springer Dordrecht Heidelberg London New York, Aug.2009.
• Oliveira T. R., A. J. Peixoto, and L. Hsu, Global real-time optimization by output-feedback extremum- seeking control with sliding modes," Journal of the Franklin Institute, vol. 349, no. 4, pp. 1397- 1415, 2012, special Issue on Optimal Sliding Mode Algorithms for Dynamic Systems.
• Pan Y., U. Ozguner, and T. Acarman, Stability and performance improvement of extremum seeking control with sliding mode," International Journal of Control, vol. 76, no. 9-10, pp. 968-985, 2003.
• Quanser Inc., Canada, Rotary Flexible Joint User Manual, 2012.
• Sassano M., D. Carnevale, and A. Astol, Extremum seeking-like observer for nonlinear systems," IFAC Proceedings Volumes, vol. 44, no. 1, pp. 1849-1854, 2011.
• Spooner J., M. Maggiero, R. Ordonez, and K. M. Passino, Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximator Techniques. John Wiley & Sons, 2002.
• Subbaraman A. and M. Benosman, Extremum seeking-based iterative learning model predictive control" IFAC-Papers OnLine, vol. 49, no. 13, pp. 193-198, 2016.
• Talole S. E., J. P. Kolhe, and S. B. Phadke, Extended-state-observer based control of flexible-joint system with experimental validation," IEEE Transactions on Industrial Electronics, vol. 57, no. 4, pp. 1411{1419, April 2010.
• Tan Y., D. Nesic, I. Mareels, and A. Astol, On global extremum seeking in the presence of local extrema," Automatica, vol. 45, no. 1, pp. 245 -251,2009.
• Ye M. and G. Hu, A robust extremum seeking scheme for dynamic systems with uncertainties and disturbances," Automatica, vol. 66, no. C, pp. 172-178, Apr. 2016.
• Zhang C. and R. Ordonez, Numerical optimization-based extremum seeking control with application to abs design," IEEE Transactions on Automatic Control, vol. 52, no. 3, pp. 454-467, March 2007.
• Zhao, Zhongfan, et al. "Local self-optimizing control based on extremum seeking control." Control Engineering Practice 99 (2020): 104394.