Meryem DENİZ, ENVER TATLICIOĞLU, Alper BAYRAK

MODEL-FREE OUTPUT FEEDBACK CONTROLLER DESIGN FOR TWIN ROTOR SYSTEMS

In this work, tracking control of twin rotor systems is aimed. The control problem is restricted by the lack of mathematical model of the twin rotor and further complicated by the unavailability of the angular velocity measurements. A model–free controller in conjunction with a high gain observer is designed. Experiments performed on a twin rotor system demonstrates the viability of the controller–observer couple.

Keywords:

twin rotor system, model-free controller, observer,

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[1] Corradini, M. L., Cristofaro, A. and Orlando, G., “Stabilization of discrete-time linear systems with saturating actuators using sliding modes: Application to a twin-rotor system”, in: IEEE Conf. on Decision and Control, Orlando, Florida, USA, 2011, p. 8237–8242.
[2] Verzilli, L., “Progetto e sviluppo di un controllore a struttura variabile per un twin rotor, Master’s thesis”, Universit´a Politecnica delle Marche, Ancona, Italy, 2007.
[3] Ahmad, S., Chipperﬁeld and A., Tokhi, M., “Dynamic modelling and linear quadratic gaussian control of a twin-rotor multi-input multi-output system”, Proc. of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, v. 217, n. 3, p. 203–227, 2003.
[4] Ahmad, S., Chipperﬁeld and A., Tokhi, M., “Dynamic modelling and open-loop control of a two-degree-of-freedom twin-rotor multi-input multi-output system”, Proc. of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, v. 218, n. 6, p. 451–463, 2004.
[5] Rahideh, A., Shaheed, M. and Huijberts, H., “Dynamic modelling of a trms using analytical and empirical approaches”, Control Engineering Practice, v. 16, n. 3, p. 241–259, 2008.
[6] Rahideh, A. and Shaheed, M. H., “Dynamic modelling of a twin rotor mimo system using grey box approach”, in: Int. Symp. on Mechatronics and Its Applications, Amman, Jordan, 2008, p. 1–6.
[7] Toha, S. and Tokhi, M., “MLP and Elman recurrent neural network modelling for the TRMS”, in: Int. Conf. on Cybernetic Intelligent Systems, London, UK, 2008, p. 1–6.
[8] Shaheed, H. M., “Feedforward neural network based non-linear dynamic modelling of a TRMS using rprop algorithm”, Aircraft Engineering and Aerospace Technology, v. 77, n. 1, p. 13–22, 2005.
[9] Lu, T.-W. and Wen, P., “Time optimal and robust control of twin rotor system”, in: Int. Conf. on Control and Automation, Guangzhou, China, 2007, p. 862–866.
[10] Choi, H. H., “Sliding-mode output feedback control design”, IEEE Tr. On Industrial Electronics, v. 55, n. 11, p. 4047–4054, 2008.
[11] Rahideh, A., Shaheed, M. and Bajodah, A., “Neural network based adaptive non-linear model inversion control of a twin rotor system in real time”, in: 7th IEEE International Conference on Cybernetic Intelligent Systems, London, England, 2008, p. 1–6.
[12] Su, J.-P., Liang, C.-Y. and Chen, H.-M, “Robust control of a class of nonlinear systems and its application to a twin rotor mimo system”, in: IEEE Int. Conf. on Industrial Technology, Bangkok, Thailand, 2002, p. 1272–1277.
[13] Karimi, H. R. and Motlagh, M. R. J., “Robust feedback linearization control for a non linearizable mimo nonlinear system in the presence of model uncertainties”, in: IEEE Int. Conf. on Service Operations and Logistics, and Informatics, Shanghai, China, 2006, p. 965–970.
[14] L´opez-Martınez and M., Rubio, F., “Control of a laboratory helicopter using feedback linearization”, in: European Control Conf., Cambridge, UK, 2003, p. 1–4.
[15] Mustafa, G. and Iqbal, N., “Controller design for a twin rotor helicopter model via exact state feedback linearization”, in: IEEE Int. Multitopic Conf., Lahore, Pakistan, IEEE, 2004, p. 706–711.
[16] Pratap, B., Purwar and S., “State observer based robust feedback linearization controller for twin rotor mimo system”, in: Int. Conf. on Control Applications, Dubrovnik, Croatia, 2012, p. 1074–1079.
[17] Pratap, B., Agrawal, A. and Purwar, S., “Optimal control of twin rotor mimo system using output feedback”, in: IEEE Int. Conf. on Power, Control and Embedded Systems, Allahabad, India, 2012, p. 1–6.
[18] Li, Z., Liu, H., Zhu, B., Gao, H. and Kaynak, O., “Nonlinear robust attitude tracking control of a table-mount experimental helicopter using output-feedback”, IEEE Trans. on Industrial Electronics v. 62 n. 9, p. 5665–5676, 2015.
[19] Khalil, H. K., Nonlinear Control, Pearson (Addison-Wesley), New Jersey, USA, 2015.
[20] Chen, J., Behal, A. and Dawson, D. M., “Robust feedback control for a class of uncertain mimo nonlinear systems”, IEEE Tr. on Automatic Control v. 53, n. 2, p. 591–596, 2008.
[21] Xian, B., de Queiroz, M. S., Dawson, D. M. and McIntyre, M. L., “A discontinuous output feedback controller and velocity observer for nonlinear mechanical systems”, Automatica, v. 40, n. 4, p. 695–700, 2004.
[22] Dawson, D., Qu, Z. and Carroll, J., “On the state observation and output feedback problems for nonlinear uncertain dynamic systems”, in: Southeastcon’92, Proceedings., IEEE, p. 808–811, 1992.
[23] Oh, S. and Khalil, H. K., “Output feedback stabilization using variable structure control”, Inter. J. of Control v. 62, n. 4, p. 831–848, 1995.
[24] Rahideh, A. and Shaheed, M., “Mathematical dynamic modelling of a twin-rotor multiple input-multiple output system”, Proc. of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, v. 221, n. 1, p. 89–101, 2007.
[25] Atassi, A. N. and Khalil, H. K., “A separation principle for the stabilization of a class of nonlinear systems”, IEEE Trans. Automat. Contr., v. 44, n. 9, p. 1672–1687, 1999.
[26] Bayrak, A., Dogan F., Tatlicioglu E. and Ozdemirel B., “Design of an experimental twin-rotor multi-input multi-output system”, Computer Applications in Engineering Education, v. 23, n. 4, p. 578-586, 2015.