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Designing Indirect Adaptive Multiple Controller for LTI Systems with Large Time Varying and Unknown Delay in Control Input Based on Online Estimation of Delay by Kalman filtering | ||
International Journal of Industrial Electronics Control and Optimization | ||
مقاله 1، دوره 4، شماره 1، فروردین 2021، صفحه 1-11 اصل مقاله (1.85 M) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22111/ieco.2020.32975.1242 | ||
نویسندگان | ||
hadi chahkandi nejad* 1؛ Mohsen Farshad2؛ Ramazan Havangi3 | ||
1IAU Birjand Branch. Department of Electrical Engineering, Head of Department. | ||
2Faculty of Electrical and Computer Engineering, University of Birjand, Birjand, Iran | ||
3Faculty of electrical and computer engineering, University of Birjand, Birjand, Iran. | ||
چکیده | ||
In this study, an adaptive controller for LTI systems with unknown and time varying input time delay is presented with the purpose of tracking. Due to the large area considered for time delay variations, the structure of the proposed controller is considered to be in form of Multiple Model Adaptive Control (MMAC). The presented adaptive control system is of indirect type, i.e., at any moment of time, first, one band of time delay is identified using a proposed estimator, and then with a switching rule in the supervisory subdivision, the main control signal, which is a linear combination of multiple controllers output, forms. In fact, each of the multiple controllers in MMAC structure with optimal weights, participate in forming the main control signal. The multiple controllers used in this study are of PID type. It should be noted that the parameters for each of the multiple controllers, for the system under control, are adjusted offline and proportional to its corresponding time-delay sub-band using the genetic algorithm. Finally, simulation results show the relatively desirable performance of the proposed control system and observer in facing with large unknown and time varying delays. | ||
کلیدواژهها | ||
Adaptive Control؛ Time Varying Input Delay؛ Delay Estimation؛ Kalman Filtering؛ Satellite telecommunications | ||
مراجع | ||
[1] J. E. Normey-Rico, E. F. Camacho, Control of Dead-time Processes, Springer-Verlag, 1th ed, London, UK, 2007. [2] Q. C. Zhong, Robust Control of Time-delay Systems, Springer-Verlag, 1th ed, London, UK, 2006. [3] M. Wu, Y. He, J. H. She, Stability Analysis and Robust Control of Time-Delay Systems, Science Press Beijing and Springer-Verlag Berlin Heidelberg, 2010. [4] S. Bjorklund, L. Ljung, "A review of time-delay estimation techniques," 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), Maui, HI, pp. 2502-2507, Vol.3, 2003. [5] A. O. Dwyer, R. Gao, “Comparison of two B-polynomial Methods Application to the Identification of Time delayed Processes,” Proceedings of the Irish Signals and Systems Conference, NUI Maynooth, Ireland, pp. 105-111, June 2001. [6] J. Roe, R. Gao, A. Dwyer, “Identification of a Time-delayed Process Model using an Overparameterization Method,” Proceedings of the China-Ireland International Conference on Information and Communications Technologies (CIICT), DCU, August 2007. [7] K. Taarita, L. Belkoura, M. Ksouri, J.P. Richard , “A Fast Identification Algorithm For Systems With Delayed Inputs,” International Journal of Systems Science, Taylor & Francis, Vol. 42, No. 3, pp. 449-456. 2011. [8] L. Belkoura, J. P. Richard, M. Fliess, “On-line identification of systems with delayed inputs,” 17th Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japon, July 2006. [9] A. O'Dwyer, J. V. Ringwood, “Model Parameter And Time Delay Estimation Using Gradient Methods,” Proceedings of the Irish Colloquium on DSP and Control, Dublin City University, pp. 211-218, July 1994. [10] D. Etter and S. Stearns, "Adaptive estimation of time delays in sampled data systems," IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 29, no. 3, pp. 582-587, June 1981. [11] S. Ahmed, B. Huang, S. L. Shah, “Parameter and delay estimation of continuous-time models using a linear filter,” Journal of Process Control, vol. 16, No. 4 pp. 323–331, April 2006. [12] S.V. Drakunov, W. Perruquetti, J.-P. Richard, L. Belkoura, "Delay identification in time-delay systems using variable structure observers," Annual Reviews in Control, Vol. 30, Issue 2, pp. 143-158, 2006. [13] J. Kozłowski, Z. Kowalczuk. “On-line Parameter and Delay Estimation of Continuous-Time Dynamic Systems,” International Journal of Applied Mathematics and Computer Science, vol. 25, Issue 2, pp. 223-232, June 2015. [14] V. Léchappé, E. Moulay and F. Plestan, "Dynamic observation-prediction for LTI systems with a time-varying delay in the input," IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, 2016, pp. 2302-2307. [15] C. Lai and P. Hsu, "Design the Remote Control System With the Time-Delay Estimator and the Adaptive Smith Predictor," IEEE Transactions on Industrial Informatics, vol. 6, no. 1, pp. 73-80, Feb. 2010. [16] R.M.C.De Keyser, “ADAPTIVE DEAD-TIME ESTIMATION”, 2nd IFAC Workshop on Adaptive Systems in Control and Signal Processing, Lund, Sweden, vol 20, Issue 2, pp. 385-389, July 1986. [17] J. Tuch, A. Feuer and Z. J. Palmor, "Time delay estimation in continuous linear time-invariant systems," IEEE Transactions on Automatic Control, vol. 39, no. 4, pp. 823-827, April 1994. [18] H. C. Nejad, M. Farshad, Havangi, “Presentation of a New Online Method, for Time Variant and Unknown Input Time Delay Estimation, in Continuous SISO-LTI Systems”, International Journal of Sensors, Wireless Communications and Control (2020) 10: 1. https://doi.org/10.2174/2210327910666191216155745 [19] X. Hong, Q. Zhu, "An on-line algorithm of uncertain time delay estimation in a continuous system," International Conference on Networking, Sensing and Control, Okayama, pp. 498-501, 2009. [20] M. Krstic, "Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay," IEEE Transactions on Automatic Control, vol. 55, no. 2, pp. 554-559, Feb. 2010. [21] N. Nguyen, E. Summers, "On Time Delay Margin Estimation for Adaptive Control and Robust Modification Adaptive Laws,” AIAA Guidance, Navigation, and Control Conference, Guidance, Navigation, and Control and Co-located Conferences, Portland, Oregon, 2011. [22] Y. Liu, L. –S. Hu, P. Shi, "A novel approach on stabilization for linear systems with time-varying input delay", Applied Mathematics and Computation, Vol. 218, No. 10, pp. 5937-5947, 2012. [23] F. Cacace, F. Conte, A. Germani, “State Feedback Stabilization of Linear Systems with Unknown Input Time Delay,” IFAC-PapersOnLine, Vol. 50, Issue 1, PP. 1245-1250, 2017. [24] Y. Wei, Z. Lin, “A delay-independent output feedback for linear systems with time-varying input delay”, International Journal of Robust and Nonlinear Control, PP. 1-11, 2018. [25] D. Yue, Q. L. Han, “Delayed feedback control of uncertain systems with time-varying input delay,” Automatica, Vol. 41, Issue . 2, PP. 233-240, 2005. [26] C. Y. Kao, B. Lincoln, “Simple Stability Criteria For Systems With time-Varying Delays,” Automatica, vol. 40, No. 8, pp. 1429–1434, August 2004. [27] [27] W. -A. Zhang, L. Yu, “A robust control approach to stabilization of networked control systems with time-varying delays,” Automatica, Vol. 45, No. 10, pp. 2440-2445, October 2009. [28] A. Polyakov, A. Poznyak, J. Richard, "Robust output stabilization of time-varying input delay systems using attractive ellipsoid method," 52nd IEEE Conference on Decision and Control, Florence, pp. 934-939, 2013. [29] C. Yuan and F. Wu, "ℋ∞ state-feedback control of linear systems with time-varying input delays," IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, pp. 586-591, 2016. [30] D. B. Pietri, F. Mazenc, N. Petit, "Robust compensation of a chattering time-varying input delay with jumps,” Automatica, Vol. 92, PP. 225-234, 2018. [31] S. Roy, I. N. Kar, “Robust Control of Uncertain Euler-Lagrange Systems with Time-Varying Input Delay,” Proceedings of the Advances in Robotics (AIR '17), ACM, New York, NY, USA, Article 16, 6 pages, 2017. [32] R. Matusu,, R. Prokop, “Control of systems with time-varying delay: A comparison study,” 12th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS '10, pp. 125-130, 2010. [33] J. G. Dawson, "Fuzzy logic control of linear systems with variable time delay,” Proceedings of 9th IEEE International Symposium on Intelligent Control, Columbus, OH, USA, pp. 5-10, 1994. [34] D. Srinivasagupta, H. Schättler, B. Joseph, “Time-stamped model predictive control: an algorithm for control of processes with random delays,” Computers and Chemical Engineering, Vol. 28, No. 8, July, pp. 1337– 1346, 2004. [35] S. Y. Yoon, Z. Lin, “Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay,” Systems & Control Letters, Vol. 62, Issue. 10,PP. 837-844, 2013. [36] F. Cacace , A. Germani , C. Manes, “Predictor-based control of linear systems with large and variable measurement delays,” International Journal of Control, Taylor & Francis, Vol. 87, No. 4, PP. 704-714, 2014. [37] V. Léchappé and E. Moulay and F. Plestan “Prediction-based control for LTI systems with uncertain time-varying delays and partial state knowledge,” International Journal of Control, Taylor & Francis, vol. 91, No. 6, pp. 1403-1414, 2018. [38] X. Han, E. Fridman, S.K. Spurgeon, “Sliding mode control in the presence of input delay: A singular perturbation approach,” Automatica, Vol. 48, Issue. 8, pp. 1904-1912, 2012. [39] Y. Farid, N. Bigdeli, “Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown time-delay,” Nonlinear Dynamics, Vol. 67, NO. 3, pp. 2225–2240, February 2012. [40] F. Carravetta, P. Palumbo and P. Pepe, "Quadratic Optimal control of linear systems with time-varying input delay," 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, pp. 4996-5000, 2010. [41] F. Cacace, F. Conte and A. Germani, "Memoryless Approach to the LQ and LQG Problems With Variable Input Delay,"IEEE Transactions on Automatic Control, vol. 61, no. 1, pp. 216-221, 2016. [42] F. Cacace, F. Conte, A. Germani, G. Palombo, “Optimal control of linear systems with large and variable input delays,” Systems & Control Letters, Vol. 89, pp. 1-7, 2016. [43] J. K. Pieper, B. W. Surgenor, J. Z. Liu, “On Self-Tuning Control of Processes with Time Varying Dead Time” , American Control Conference , Boston, MA, USA, PP. 2166-2171, 26-28 June. 1991. [44] H. kurzt , W. goedecke, “Digital Parameter-Adaptive Control of Processes with Unknown Dead Time,” Automatica, Vol. 17, No. I, pp. 245-252, January 1981. [45] G. A. Dumont, A. Elnaggar, A. Elshafelt, “Adaptive Predictive Control Of Systems With Time-Varying Time Delay,” International Journal Of Adaptive Control And Signal Processing, Vol. 7,No. 2, pp. 91-101, March 1993. [46] C. Chandra Prasad, V. Hahn, H. Unbehauen, U. Keuchel, “Adaptive Control of a Variable Dead Time Process with an Integrator,” IFAC Proceedings Volumes, Vol. 18, Issue. 15, PP. 71-75, 1985. [47] J. P. Nelson, M. J. Balas, "Direct model reference adaptive control of linear systems with input/output delays,” Numerical Algebra, Control & Optimization, Vol. 3,NO. 3, PP. 445-462, 2013 [48] M. T. Nihtilä, “Adaptive control of a continuous-time system with time-varying input delay,” Systems & Control Letters, Vol. 12, Issue 4, PP. 357-364, 1989. [49] P. S. Agachi, Z. K..Nagy, M. V. Cristea, A. L. Imre-Lucaci, “Model Based Control,” WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2006. [50] N. B. Liberis, M. KrsticJ, “Nonlinear Control Under Nonconstant Delays,” Advances in Design and Control, Society for Industrial and Applied Mathematics, 2013. [51] C. K. Chui, G. Chen, Kalman Filtering with Real-Time Applications, Springer-Verlag, 5th ed, Berlin Heidelberg, Germany, 2009. [52] J. D. Landau , R. Lozano , M. M’Saad , A. Karimi, Adaptive Control Algorithms, Analysis and Applications, Springer, 2th ed, London, UK, 2011. [53] B. D. O. Anderson, T. S. Brinsmead, F. De Bruyne, J. Hespanha, D. Liberzon, A. S. Morse, “Multiple Model Adaptive Control, Part 1: Finite Controller Coverings,” International Journal of Robust and Nonlinear Control, Vol. 10, No. 11-12, pp. 909–929, September - October 2000. [54] J. O. Hespanha, D. Liberzon, A. S. Morse, B. D. O. Anderson, T. S. Brinsmead, F. De Bruyne, “Multiple model adaptive control. Part 2: switching,” International Journal of Robust And Nonlinear Control, Vol. 11, No. 5, pp. 479–496, 30 April 2001. [55] B. D. O. Anderson, T. Brinsmead, D. Liberzon, A. S. Morse, “Multiple model adaptive control with safe switching,” International Journal Of Adaptive Control And Signal Processing, Vol. 15, No. 1, pp. 445-470, 2001. [56] K. Ogata, Modern Control Engineering, Prentice-Hall Instrumentation and Controls Series, Englewood Cliffs, New Jersey: Prentice-Hall, 1970. [57] D.E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, MA, 1989. [58] P.D. Cha, J.J. Rosenberg, C.L. Dym, Fundamentals of Modeling and Analyzing Engineering Systems, Cambridge University Press, 2000 | ||
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