Adaptive Neural Control for a Class of Nonlinear Systems With Uncertain Hysteresis Inputs and Time-Varying State Delays

被引：79

作者：

Ren, Beibei ^{[1
]}

Ge, Shuzhi Sam ^{[1
]}

Lee, Tong Heng ^{[1
]}

Su, Chun-Yi ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore

[2] Concordia Univ, Dept Mech & Ind Engn, Montreal, PQ H3G 1M8, Canada

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 2009年 / 20卷 / 07期

关键词：

Neural networks (NNs); Prandtl-Ishlinskii (PI) hysteresis model; time-varying delays; variable structure control; ROBUST STABILIZATION; NETWORK CONTROL; STABILITY;

D O I：

10.1109/TNN.2009.2016959

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, adaptive variable structure neural control is investigated for a class of nonlinear systems under the effects of time-varying state delays and uncertain hysteresis inputs. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design, and the effect of the uncertain hysteresis with the Prandtl-Ishlinskii (PI) model representation is also mitigated using the proposed control. By utilizing the integral-type Lyapunov function, the closed-loop control system is proved to be semiglobally uniformly ultimately bounded (SGUUB). Extensive simulation results demonstrate the effectiveness of the proposed approach.

引用

页码：1148 / 1164

页数：17

共 38 条

[1]

[Anonymous], 2001, LECT NOTES CONTROL I

[2]

[Anonymous], 2011, Constructive Nonlinear Control

[3]

[Anonymous], 1995, NONLINEAR ADAPTIVE C

[4]

Dugard L., 1997, Stability and Control of Time-Delay Sys-tems

[5]

Farrell J. A., 2006, Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches

[6] Approximation-based control of nonlinear MIMO time-delay systems [J].

Ge, S. S. ;

Tee, K. P. .

AUTOMATICA, 2007, 43 (01) :31-43

[7]

Ge S. S., 2002, STABLE ADAPTIVE NEUR

[8] A direct adaptive controller for dynamic systems with a class of nonlinear parameterizations [J].

Ge, SS ;

Hang, CC ;

Zhang, T .

AUTOMATICA, 1999, 35 (04) :741-747

[9] Adaptive neural control of uncertain MIMO nonlinear systems [J].

Ge, SS ;

Wang, C .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (03) :674-692

[10] Adaptive neural network control of nonlinear systems with unknown time delays [J].

Ge, SS ;

Hong, F ;

Lee, TH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) :2004-2010

← 1 2 3 4 →