×
Mao, Zhi-Zhong; Xiao, Xiao-Shi

Decentralized adaptive tracking control of nonaffine nonlinear large-scale systems with time delays. (English) Zbl 1243.93007

Inf. Sci. 181, No. 23, 5291-5303 (2011).
Summary: This paper addresses the problem of decentralized tracking control of large-scale systems with uncertain non-affine nonlinear isolated subsystems and nonlinear interconnections with time-varying delays. Based on the Lyapunov–Krasovskii functional approach and the implicit function theorem, a delay-independent decentralized tracking controller is proposed. Due to functional approximation capability of Fuzzy Logic Systems (FLS), neither strict structure restrictions on the isolated subsystems nor a-priori knowledge of the strong interconnections with time-varying delays is required in our control design. Furthermore, transient performance of the resulting closed-loop system is also addressed under an analytical framework. Finally, two numerical examples are provided to show the effectiveness of the proposed controller.

Cited in 8 Documents

MSC:

93A14 Decentralized systems
93C40 Adaptive control/observation systems
93C42 Fuzzy control/observation systems
93A15 Large-scale systems
93C10 Nonlinear systems in control theory

Keywords:

decentralized control; adaptive fuzzy control; large-scale systems; nonaffine nonlinear systems; time delay
PDF BibTeX XML Cite
\textit{Z.-Z. Mao} and \textit{X.-S. Xiao}, Inf. Sci. 181, No. 23, 5291--5303 (2011; Zbl 1243.93007)
Full Text: DOI

References:

[1] Chou, C. H., A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems, IEEE Trans. Automat. Contr., 48, 7, 1213-1217 (2003) · Zbl 1364.93012
[2] Deng, H.; Li, H. X.; Wu, Y. H., Feedback-linearization-based neural adaptive control for unknown nonaffine nonlinear discrete-time systems, IEEE Trans. Neural Netw., 19, 9, 1615-1625 (2008)
[3] Guan, Z. H.; Chen, G. R.; Yu, X. H.; Qin, Y., Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems, Automatica, 38, 12, 2075-2084 (2002) · Zbl 1010.93086
[4] Hsiao, F. H.; Chen, C. W.; Liang, Y. W.; Xu, S. D.; Chiang, W. L., \(T\)-s fuzzy controllers for nonlinear interconnected systems with multiple time delays, IEEE Trans. Circ. Syst., 52, 9, 1183-1193 (2005)
[5] Hua, C. C.; Guan, X. P., Output feedback stabilization for time-delayed nonlinear interconnected systems using neural networks, IEEE Trans. Neural Netw., 19, 4, 673-688 (2008)
[6] Hua, C. C.; Guan, X. P.; Shi, P., Adaptive fuzzy control of uncertain interconnected time-delay systems, Fuzzy Sets Syst., 153, 3, 447-458 (2005) · Zbl 1068.93032
[7] Hua, C. C.; Guan, X. P.; Shi, P., Decentralized robust model reference adaptive control for interconnected time-delay systems, J. Comput. Appl. Math., 193, 2, 383-396 (2006) · Zbl 1136.93303
[8] Hua, C. C.; Wang, Q. G.; Guan, X. P., Exponential stabilization controller design for interconnected time delay systems, Automatica, 44, 10, 2600-2606 (2008) · Zbl 1155.93313
[9] Huang, S. N.; Tan, K. K.; Lee, T. H., A decentralized control of interconnected systems using neural networks, IEEE Trans. Neural Netw., 41, 6, 1554-1557 (2002)
[10] Huang, S. N.; Tan, K. K.; Lee, T. H., Decentralized control design for large-scale systems with strong interconnections using neural networks, IEEE Trans. Automat. Contr., 48, 5, 805-810 (2003) · Zbl 1364.93021
[11] Huang, S. N.; Tan, K. K.; Lee, T. H., Decentralized control of a class of large-scale nonlinear systems using neural networks, Automatica, 41, 9, 1645-1649 (2005) · Zbl 1086.93026
[12] Karimi, B.; Menhaj, M. B., Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks, Inform. Sci., 180, 17, 3335-3347 (2010) · Zbl 1196.93037
[13] Karimi, B.; Menhaj, M. B.; Ghartemani, M. K.; Saboori, I., Decentralized adaptive control of large-scale affine and nonaffine nonlinear systems, IEEE Trans. Instrum. Measur., 58, 8, 2459-2467 (2009)
[14] Karimi, B.; Menhaj, M. B.; Saboori, I., Decentralized adaptive control of large-scale nonaffine nonlinear systems using radial basis function neural networks, IEIEC Trans. Fundam., E90-A, 10, 2239-2247 (2007)
[15] Krstic, M.; Kanellakopoulos, I.; Kokotovic, P. V., Nonlinear and Adaptive Control Design (1995), Wiley: Wiley New York · Zbl 0763.93043
[16] Kwon, O. M.; Park, J. H., Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback, IEEE Trans. Fuzzy Syst., 27, 4, 800-812 (2006) · Zbl 1094.93020
[17] Labibi, B.; Lohmann, B.; Sedigh, A. K.; Maralani, P. J., Decentralized stabilization of large-scale systems via state-feedback and using descriptor systems, IEEE Trans. Automat. Contr., 33, 6, 771-776 (2003) · Zbl 1083.93003
[18] Labiod, S.; Guerra, T. M., Adaptive fuzzy control of a class of siso nonaffine nonlinear systems, Fuzzy Sets Syst., 158, 10, 1126-1137 (2007) · Zbl 1113.93070
[19] Lee, C. H.; Hsien, T. L., Delay-independent stability criteria for discrete uncertain large-scale systems with time delays, IEEE Trans. Fuzzy Syst., 334B, 1, 155-166 (1997) · Zbl 0867.93012
[20] Liu, B.; Teo, K. L.; Liu, X. Z., Robust exponential stabilization for large-scale uncertain impulsive systems with coupling time-delays, Nonlinear Anal.: Theory Methods Appl., 68, 5, 1169-1183 (2008) · Zbl 1154.34041
[21] Liu, X. W.; Zhang, H. B., Delay-dependent robust stability of uncertain fuzzy large-scale systems with time-varying delays, Automatica, 44, 1, 193-198 (2008) · Zbl 1138.93394
[22] Liu, Y. J.; Wang, W., Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems, Inform. Sci., 177, 18, 3901-3917 (2007) · Zbl 1121.93037
[23] Mahmoud, M. S., Decentralized stabilization of interconnected systems with time-varying delays, IEEE Trans. Automat. Contr., 54, 11, 2663-2668 (2009) · Zbl 1367.93524
[24] Mahmoud, M. S.; Bingulac, S., Robust design of stabilizing controllers for interconnected time-delayed systems, Automatica, 34, 6, 795-800 (1998) · Zbl 0936.93044
[25] Moon, Y. S.; Park, P.; Kwon, W. H., Robust stabilization of uncertain input-delayed systems using reductions method, Automatica, 37, 2, 307-312 (2001) · Zbl 0969.93035
[26] Park, J. H.; Park, G. T.; Kim, S. H.; Moon, C. J., Direct adaptive self-structuring fuzzy controller for nonaffine nonlinear system, Fuzzy Sets Syst., 153, 3, 429-445 (2005) · Zbl 1068.93035
[27] Pedrycz, W.; Gomide, F., Fuzzy Systems Engineering Toward Human-Centric Computing (2007), Wiley: Wiley New York
[29] Spooner, J. S.; Passino, K. M., Adaptive control of a class of decentralized nonlinear systems, IEEE Trans. Fuzzy Syst., 41, 2, 280-284 (1996) · Zbl 0842.93036
[30] Spooner, J. S.; Passino, K. M., Decentralized adaptive control of nonlinear systems using radial basis neural networks, IEEE Trans. Automat. Contr., 44, 11, 2050-2057 (1999) · Zbl 1136.93363
[31] Tang, G. Y.; Li, C.; Sun, L., Optimal tracking control for large-scale interconnected systems with time-delays, Comput. Math. Appl., 53, 1, 80-88 (2007) · Zbl 1132.93022
[32] Tang, Y.; Tomizuka, M.; Guerrero, G.; Montemayor, G., Decentralized robust control of mechanical systems, IEEE Trans. Automat. Contr., 45, 4, 771-776 (2000) · Zbl 1009.93058
[33] Wang, L. X., Stable adaptive fuzzy control of nonlinear systems, IEEE Trans. Fuzzy Syst., 1, 2, 146-155 (1993)
[34] Wang, L. X., Adaptive Fuzzy Systems and Control: Design and Stability Analysis (1994), Prentice-Hall: Prentice-Hall NJ
[35] Wang, R. J., Nonlinear decentralized state feedback controller for uncertain fuzzy time-delayed interconnected systems, Fuzzy sets Syst., 151, 1, 191-204 (2005) · Zbl 1082.93034
[36] Yan, X. G.; Dai, G. Z., Decentralized output feedback robust control for nonlinear large-scale systems, Automatica, 34, 11, 1469-1472 (1998) · Zbl 0934.93007
[37] Yan, X. G.; Spurgeon, S. K.; Edwards, C., Decentralised sliding mode control for nonminimum phase interconnected systems based on a reduced-order compensator, Automatica, 42, 10, 1821-1828 (2006) · Zbl 1114.93035
[38] Yang, B. J.; Calise, A. J., Adaptive control of a class of nonaffine systems using neural networks, IEEE Trans. Neural Netw., 18, 4, 1149-1159 (2007)
[39] Yang, Q.; Vance, J. B.; Jagannathan, S., Control of nonaffine nonlinear discrete-time systems using reinforcement-learning-based linearly parameterized neural networks, IEEE Trans. Syst. Man Cybernet. Part B: Cybernet., 38, 4, 994-1001 (2008)
[40] Yao, K. C.; Chen, D. F.; Huang, W. T.; Chiang, J. S., Digital control design of decentralized stochastic singularity-perturbed large-scale actuator type systems with multiple time-varying delays, Int. J. Innovat. Comput. Inform. Contr., 5, 10B, 3303-3312 (2009)
[41] Yao, K. C.; Lu, C. Y.; Shyr, W. J.; Chen, D. F., Robust output feedback control design of decentralized stochastic singularity-perturbed computer controlled systems with multiple time-varying delays, Int. J. Innovat. Comput. Inform. Contr., 5, 12A, 4407-4414 (2009)
[42] Yousef, H.; Hamdy, M.; Madbouly, E. E.; Eteim, D., Adaptive fuzzy decentralized control for interconnected mimo nonlinear subsystems, Automatica, 45, 2, 456-462 (2009) · Zbl 1158.93361
[43] Zhen, H.; Lu, Y. P., Decentralized control of spatially interconnected affine fuzzy systems with application to a morphing airfoil, ICIC Express Lett., 3, 3B, 593-598 (2009)
[44] Zhou, J., Decentralized adaptive control for large-scale time-delay systems with dead-zone input, Automatica, 44, 7, 1790-1799 (2008) · Zbl 1149.93300
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.