Decentralized Model Reference Adaptive Control of Large Scale Interconnected Systems with Both State and Input Delays

Document Type : Research Article

Authors

1 Department of Electrical Engineering, Roudsar and Amlash Branch, Islamic Azad University, Roudsar, Iran.

2 Department of Electrical Engineering, ShahidRajaee Teacher Training University, Tehran, Iran.

3 Department of Electrical Engineering, K. N Toosi University of Technology, Tehran, Iran.

Abstract

In this paper, the problem of decentralized Model Reference Adaptive Control (MRAC) for interconnected large scale systems associated with time varying delays in state and input is investigated. The upper bounds of the interconnection terms are considered to be unknown. Time varying delays in the nonlinear interconnection terms are bounded and non-negative continuous functions and their derivatives are not necessarily less than one. Moreover, a simple and practical method based on periodic characteristics of the reference model is established to predict the future states and input delay compensation. It is shown that the solution of uncertain large-scale time-delay interconnected system converges uniformly exponentially to inside of a desired small ball. Simulation results of a chemical reactor system and a numerical example illustrate effectiveness of the proposed methods.

Keywords

References

[1] C. He, J. Li, L. Zhang, Decentralized adaptive control of nonlinear large.scale pure.feedback interconnected systems with time.varying delays, International Journal of Adaptive Control and Signal Processing, 29(1) (2015) 24-40.
[2] Z. Hu, Decentralized Stabilization of Large Scale Interconnected Systems with Delays, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 39 (1994).
[3] L.N. Lv, Z.Y. Sun, X.J. Xie, Adaptive control for high.order time.delay uncertain nonlinear system and application to chemical reactor system, International Journal of Adaptive Control and Signal Processing, 29(2) (2015) 224-241.
[4] B. Mirkin, P.-O. Gutman, Y. Shtessel, Decentralized continuous MRAC with local asymptotic sliding modes of nonlinear delayed interconnected systems, Journal of the Franklin Institute, 351(4) (2014) 2076-2088.
[5] J.L. Chang-Chun Hua, Xin-Ping Guan, Decentralized MRAC for large-scale interconnected systems with time-varying delays and applications to chemical reactor systems, Journal of Process Control, (2012).
[6] B. Mirkin, P.-O. Gutman, Adaptive following of perturbed plants with input and state delays, in: Control and Automation (ICCA), 2011 9th IEEE International Conference on, IEEE, 2011, pp. 865-870.
[7] J.Y. H. Yau, Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearity, Chaos, Solitons and Fractals, (2009) 1515- 1521.
[8] S.S. X. Yan, C.Edwards, Global time-delay dependent decentralized sliding mode control using only output information, in: 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China, 2009, pp. 6709-6714.
[9] H. Wu, Decentralized adaptive robust tracking and model following for large–scale systems including delayed state perturbations in the interconnections, Journal of Optimization Theory and Applications, (2008) 231-253.
[10] H. Wu, Decentralized adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays, IET Control Theory and Application, 6(5) (2012) 629-640.
[11] X.G. Changchun Hua, Peng Shib, Decentralized robust model reference adaptive control for interconnected time-delay systems, Journal of Computational and Applied Mathematics (2006) 383-396.
[12] H. Wu, M. Deng, Robust adaptive control scheme for uncertain non-linear model reference adaptive control systems with time-varying delays, IET Control Theory and Applications, 9(8) (2015) 1181-1189.
[13] O.J.M. Smith, A controller to overcome dead time, ISA Journal, (1959) 28-33.
[14] A.W.O. A. Z. Manitius, Finite spectrum assignment problem for systems with delays, IEEE Transactions on Automatic Control, (1979) 541-553.
[15] S.A. Al-Shamali, O.D. Crisalle, H.A. Latchman, An approach to stabilize linear systems with state and input delay, in: American Control Conference, 2003. Proceedings of the 2003, IEEE, 2003, pp. 875-880.
[16] Z.L.a.H. Fang, On asymptotic stability of linear systems with delayed input, IEEE Transaction on Automatic Control, 52 (2007) 998-1013.
[17] Z. Lin, Low Gain Feedback. London, UK: Springer, 1988.
[18] Z.L. B. Zhou, G. Duan, Truncated predictor feedback for linear systems with long time-varying input delays, Automatica, (2012) 2387-2399.
[19] B.M.a.P.-O. Gutman, Adaptive Following of Perturbed Plants with Input and State Delays, in:9th IEEE International Conference on Control and Automation (ICCA) Santiago, Chile, 2011.
AUT Journal of Modeling and Simulation
Volume 50, Issue 1
June 2018
Pages 3-12

Files

Share

How to cite

Statistics