Designing Controller for Large Scale Non-Affine Nonlinear Systems: Decentralized Intelligent Adaptive Approach


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Abstract


This paper introduces a new decentralized fuzzy adaptive controller for a class of large scale non-affine nonlinear systems in which the subsystems dynamics and interconnections are represented by unknown nonlinear functions. The proposed controllers are mainly based on fuzzy concepts. Through Lyapunov stability analysis, stability of closed-loop system along with convergence of the tracking error to zero are guaranteed. Robust adaptive control has been used to avoid chattering in adaptation laws. To show the effectiveness of the proposed controller, a nonlinear system is chosen as a case study. Simulation results are very promising
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Keywords


Stability; Robust Adaptive Control; Non-Affine Nonlinear Systems; Large Scale System; Fuzzy System

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References


G. Feng, S.G. Cao, N.W. Rees, “Stable Adaptive Control Of Fuzzy Dynamic Systems”, Elsevier Science, Fuzzy Sets And Systems 131, Pp. 217 – 224, 2002.
http://dx.doi.org/10.1016/s0165-0114(01)00236-6

G. Feng, “An Approach To Adaptive Control Of Fuzzy Dynamic Systems”, IEEE Transactions On Fuzzy Systems, Vol. 10, No. 2, Pp. 268-275, April 2002.
http://dx.doi.org/10.1109/91.995127

Y.C. Hsu, G. Chen, S. Tong, H.X. Li, “Integrated Fuzzy Modeling And Adaptive Control For Nonlinear Systems”, Elsevier Science, Information Sciences 153, Pp.217-236, 2003.
http://dx.doi.org/10.1016/s0020-0255(03)00063-x

C.C. Cheng, S.H. Chien, ”Adaptive Sliding Mode Controller Design Based On T–S Fuzzy System Models”, Elsevier Science, Automatica 42, Pp.1005-1010, 2006.
http://dx.doi.org/10.1016/j.automatica.2006.02.016

N. Golea, A. Golea, K. Benmahammed, “Stable Indirect Fuzzy Adaptive Control”, Elsevier Science, Fuzzy Sets And Systems 137, Pp. 353-366, 2003.
http://dx.doi.org/10.1016/s0165-0114(02)00279-8

C.W. Park, M. Park,”Adaptive Parameter Estimator Based On T–S Fuzzy Models And Its Applications To Indirect Adaptive Fuzzy Control Design”, Elsevier Science, Information Sciences 159, Pp. 125-139, 2004.
http://dx.doi.org/10.1016/j.ins.2003.07.001

P. Ying-Guo And Z. Hua-Guang, “Design Of Fuzzy Direct Adaptive Controller And Stability Analysis For A Class Of Nonlinear System”, Proceedings Of The American Control Conference, Philadelphia, Pennsylvania, 24-26June 1998: 2274-2275.
http://dx.doi.org/10.1109/acc.1998.703033

S. Jagannathan, “Adaptive Fuzzy Logic Control Of Feedback Linearization Discrete Time Dynamical Systems Under Persistence Of Excitation”, Automatica, Vol. 34, No. 11, Pp. 1295-1310, 1998.
http://dx.doi.org/10.1016/s0005-1098(98)00084-3

S. C. Tong, Q. Li, T. Chai, “Fuzzy Adaptive Control For A Class Of Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 101, Pp. 31-39, 1999.
http://dx.doi.org/10.1016/s0165-0114(97)00055-9

Tong, S. And Tang, J. And Wang, T, Fuzzy Adaptive Control Of Multivariable Nonlinear Systems, Elsevier Science, Fuzzy Sets And Systems 111 , Pp.153-167., 2000.
http://dx.doi.org/10.1016/s0165-0114(98)00052-9

Zhang, H. And Bien, Z., Adaptive Fuzzy Control Of MIMO Nonlinear Systems, Fuzzy Sets And Systems 115, Www.Elsevier.Com/Locate/Fss, Pp. 191-204, 2000
http://dx.doi.org/10.1016/s0165-0114(98)00394-7

S. Labiod, M. S. Boucherit, T. M. Guerra, “Adaptive Fuzzy Control Of A Class Of MIMO Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 151, Pp.59–77, 2005.
http://dx.doi.org/10.1016/j.fss.2004.10.009

Y. Tang, N. Zhang, Y. Li, “Stable Fuzzy Adaptive Control For A Class Of Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 104,Pp. 279-288,1999.
http://dx.doi.org/10.1016/s0165-0114(97)00205-4

L. Chen, G. Chen, Y.W. Lee, “Fuzzy Modeling And Adaptive Control Of Uncertain Chaotic Systems”, Elsevier Science, Information Sciences 121, Pp. 27-37, 1999.
http://dx.doi.org/10.1016/s0020-0255(99)00080-8

H.F. Ho, Y.K. Wong, A.B. Rad, W.L. Lo, “State Observer Based Indirect Adaptive Fuzzy Tracking Control”, Simulation Modeling Practice And Theory 13, Pp. 646–663, 2005.
http://dx.doi.org/10.1016/j.simpat.2005.02.003

L. Zhang, “Stable Fuzzy Adaptive Control Based On Optimal Fuzzy Reasoning”, IEEE, Proceedings Of The Sixth International Conference On Intelligent Systems Design And Applications (ISDA'06), 2006.
http://dx.doi.org/10.1109/isda.2006.250

S.Tong, H.X. Li, W. Wang, “Observer-Based Adaptive Fuzzy Control For SISO Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 148, Pp. 355–376, 2004.
http://dx.doi.org/10.1016/j.fss.2003.11.017

T. Shaocheng, C. Bin, W.Yongfu, “Fuzzy Adaptive Output Feedback Control For MIMO Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 156, Pp. 285–299, 2005.
http://dx.doi.org/10.1016/j.fss.2005.06.011

W.S Yu., “Model Reference Fuzzy Adaptive Control For Uncertain Dynamical Systems With Time Delays”, IEEE International Conference On Systems, Man And Cybernetics, Taiwan, 2004 : 5246-5251, Www.Elsevier.Com/Locate/Chaos

C.C. Chiang, “Adaptive Fuzzy Sliding Mode Control For Time-Delay Uncertain Large-Scale Systems", Proceedings Of The 44th IEEE Conference On Decision And Control, And The European Control Conference, Pp. 4077-4082,Seville, Spain, December 12-15, 2005.
http://dx.doi.org/10.1109/cdc.2005.1582800

X. Jiang,W. Xu, Q.L. Han, “Observer-Based Fuzzy Control Design With Adaptation To Delay Parameter For Time-Delay Systems”, Elsevier Science, Fuzzy Sets And Systems 152, Pp. 637–649, 2005.
http://dx.doi.org/10.1016/j.fss.2004.11.015

T. Yiqian, W. Jianhui, G. Shusheng, Q. Fengying, “Fuzzy Adaptive Output Feedback Control For Nonlinear MIMO Systems Based On Observer”, Proceedings Of The 5th World Congress On Intelligent Control And Automation Hangzhou, P.R. China, Pp. 506-510June 15-19, 2004.
http://dx.doi.org/10.1109/wcica.2004.1340625

S. Labiod, T. M. Guerra, “Adaptive Fuzzy Control Of A Class Of SISO Non-affine Nonlinear Systems”, Elsevier Science, Fuzzy Sets And Systems 158, Pp. 1126 –1137, 2007.
http://dx.doi.org/10.1016/j.fss.2006.11.013

J.H. Park, G.T. Park, S.H. Kima, C.J. Moon, “Direct Adaptive Self-Structuring Fuzzy Controller For Non-Affine Nonlinear System”, Elsevier Science, Fuzzy Sets And Systems 153, Pp. 429–445, 2005.
http://dx.doi.org/10.1016/j.fss.2005.01.003

R. Ghasemi, M.B. Menhaj and A. Afshar, “A New Decentralized Fuzzy Model Reference Adaptive Controller for a Class of Large-scale Non-affine Nonlinear Systems” European Journal of Control (5), p.p: 1–11, 2009.
http://dx.doi.org/10.3166/ejc.15.534-544

R. Ghasemi, M.B. Menhaj and A. Afshar, “A decentralized stable fuzzy adaptive controller for large scale nonlinear systems”, Journal of applied sciences (9) 5, p.p: 892-900, 2009.
http://dx.doi.org/10.3923/jas.2009.892.900

P.R. Pagilla, R.V. Dwivedula, N.B. Siraskar, “A Decentralized Model Reference Adaptive Controller For Large-Scale Systems”, IEEE/ASME Transactions On Mechatronics, Vol. 12, No. 12, No. 2, Pp. 154-163, April 2007.
http://dx.doi.org/10.1109/tmech.2007.892823

P. Ioannou, M.D. Ponte Jr., “Adaptive Control Techniques For A Class Of Large-Scale Systems”, IEEE Conference, 1988.

L. Shi, S.K. Singh," Decentralized Adaptive Controller Design For Large Scale Systems With Higher Order Interconnections”, IEEE Transactions On Automatic Control, Vol. 37,No. 8,Pp. 1106-1113, AUGUST, 1992.
http://dx.doi.org/10.1109/9.151092

H. Yousef, M.A. Simaan, “Model Reference Adaptive Control For Large Scale Systems With Application To Power Systems”, IEE PROCEEDINGS-D, Vol. 138, No. 4, Pp. 321-327, JULY 1991.
http://dx.doi.org/10.1049/ip-d.1991.0043

C.C. Chiang, W.H. Lu, “Decentralized Adaptive Fuzzy Controller Design For Uncertain Large-Scale Systems With Unknown Dead-Zone”, IEEE Conf., Pp.1-6, 2007.
http://dx.doi.org/10.1109/fuzzy.2007.4295392

Y. Zhang, B. Chen, S. Liu, S. Zhang, ”Fuzzy Indirect Adaptive Sliding Mode Tracking Costrol For A Class Of Nonlinear Similar Composite Large-Scale Systems”, Proceedings Of The American Control Conference Anchorage. AK, Pp. 2961-2967, May 8-1 0. 2002.
http://dx.doi.org/10.1109/acc.2002.1025242

H. Wu, “Decentralized Adaptive Robust Control For A Class Of Large-Scale Systems Including Delayed State Perturbations In The Interconnections”, IEEE Transactions On Automatic Control, Vol. 47, No. 10, Pp.1745-1751, October 2002.
http://dx.doi.org/10.1109/tac.2002.803551

L.X. Wang,” A Course In Fuzzy Systems And Control”, Prentice Hall PTR,1997.

L.X. Wang, J.M. Mendel, "Fuzzy Basis Function, Universal Approximation, And Orthogonal Least Square Learning", IEEE Trans. Neural Network 3 -5, Pp.: 807-814, 1993.
http://dx.doi.org/10.1109/72.159070

B. Karimi, M.B. Menhaj, I. Saboori ”Decentralized Adaptive Control Of Large Scale Non-affine Nonlinear Systems Using Radial Basis Function Neural Network”, IEICE TRANS. FUNDEMENTALS, Vol. E90-A, No.10, Pp.2239-2247, OCTOBER 2007.
http://dx.doi.org/10.1093/ietfec/e90-a.10.2239

H. Khalil, Nonlinear Systems, Prentice Hall, Second Edition, 1996.

H. J. Zimmermann, Fuzzy Set Theory- And Its Application, Kluwer Academic Publishers, 1996.

P. Ioannou, J. Sun, Robust Adaptive Control, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1996.
http://dx.doi.org/10.5555/s0005-1098(01)00021-8


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