Practical adaptive neural control of nonlinear systems with unknown time delays

被引：93

作者：

Hong, F ^{[1
]}

Ge, SZS ^{[1
]}

Lee, TH ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117548, Singapore

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2005年 / 35卷 / 04期

关键词：

decoupled backstepping; differentiable control; nonlinear time-delay system; practical neural networks;

D O I：

10.1109/TSMCB.2005.846645

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Practical adaptive neural control is presented for a class of nonlinear systems with unknown time delays in strict-feedback form. Using appropriate Lyapunov-Krasovskii functionals, the unknown time delays are compensated for. Controller singularity problems are solved by practical neural network control. A novel differentiable control function is provided such that the practical design can be carried out in the decoupled backstepping design. It is proved that the proposed design method is able to guarantee semi-global uniform ultimate boundedness of all the signals in the closed-loop system, and the tracking error is proven to converge to a small neighborhood of the origin.

引用

页码：849 / 854

页数：6

共 15 条

[1] Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2] Delay-dependent robust H∞ control of uncertain linear state-delayed systems
de Souza, CE
Li, X
[J]. AUTOMATICA, 1999, 35 (07) : 1313 - 1321
[3] A flat-zone modification for robust adaptive control of nonlinear output feedback systems with unknown high-frequency gains
Ding, ZT
Ye, XD
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) : 358 - 363
[4] Adaptive neural network control of nonlinear systems with unknown time delays
Ge, SS
Hong, F
Lee, TH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) : 2004 - 2010
[5] Direct adaptive NN control of a class of nonlinear systems
Ge, SS
Wang, C
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (01): : 214 - 221
[6] Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients
Ge, SZS
Hong, F
Lee, TH
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01): : 499 - 516
[7] Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0
[8] Gupta MM., 1994, NEUROCONTROL SYSTEMS
[9] Hale J. K., 1977, Applied Mathematical Sciences, V3
[10] MULTILAYER FEEDFORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS
HORNIK, K
STINCHCOMBE, M
WHITE, H
[J]. NEURAL NETWORKS, 1989, 2 (05) : 359 - 366

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