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Erschienen in: Neural Computing and Applications 8/2015

01.11.2015 | Original Article

Adaptive neural control with intercepted adaptation for time-delay saturated nonlinear systems

verfasst von: Shigen Gao, Bin Ning, Hairong Dong

Erschienen in: Neural Computing and Applications | Ausgabe 8/2015

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Abstract

In this paper, the adaptive neural control is proposed for a class of single-input-single-output nonlinear systems with state delay and input saturation. An intercepted adaptation approach is designed to attenuate the effect caused by the input saturation based on a constructed auxiliary system, and radial basis function neural networks are used in the online learning of unknown dynamics. Lyapunov–Krasovskii function is introduced to deal with the state delay. The proposed control scheme can guarantee semi-globally uniformly boundedness of the closed-loop system as rigorously proved by Lyapunov stability theorem. The ultimate and transient tracking errors will be confined in compact regions. The diameters of these regions can be adjusted to be arbitrarily small by tuning proper design parameters. Illustrative examples are used to demonstrate the effectiveness of the proposed control method.

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Literatur
1.
Zurück zum Zitat Boulkroune A, Msaad M, Farza M (2011) Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. Fuzzy sets syst 164(1):45–65MATHMathSciNetCrossRef Boulkroune A, Msaad M, Farza M (2011) Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. Fuzzy sets syst 164(1):45–65MATHMathSciNetCrossRef
2.
Zurück zum Zitat Chen M, Ge SS (2013) Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. Cybern IEEE Trans on 43(4):1213–1225CrossRef Chen M, Ge SS (2013) Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. Cybern IEEE Trans on 43(4):1213–1225CrossRef
3.
Zurück zum Zitat Cui G, Jiao T, Wei Y, song G, Chu Y (2014) Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation. Neural Comput Appl 25:779–791CrossRef Cui G, Jiao T, Wei Y, song G, Chu Y (2014) Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation. Neural Comput Appl 25:779–791CrossRef
4.
Zurück zum Zitat Deng W, Li C, Lü J (2007) Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dyn 48(4):409–416MATHCrossRef Deng W, Li C, Lü J (2007) Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dyn 48(4):409–416MATHCrossRef
5.
Zurück zum Zitat Do K, Jiang ZP, Pan J (2002) Universal controllers for stabilization and tracking of underactuated ships. Syst Control Lett 47(4):299–317MATHMathSciNetCrossRef Do K, Jiang ZP, Pan J (2002) Universal controllers for stabilization and tracking of underactuated ships. Syst Control Lett 47(4):299–317MATHMathSciNetCrossRef
6.
Zurück zum Zitat Gao S, Dong H, Chen Y, Ning B, Chen G, Yang X (2013) Approximation-based robust adaptive automatic train control: an approach for actuator saturation. IEEE Trans Intell Transp Syst 14(4):1733–1742CrossRef Gao S, Dong H, Chen Y, Ning B, Chen G, Yang X (2013) Approximation-based robust adaptive automatic train control: an approach for actuator saturation. IEEE Trans Intell Transp Syst 14(4):1733–1742CrossRef
7.
Zurück zum Zitat Ge SS, Hong F, Lee TH (2003) Adaptive neural network control of nonlinear systems with unknown time delays. Autom Control, IEEE Trans on 48(11):2004–2010MathSciNetCrossRef Ge SS, Hong F, Lee TH (2003) Adaptive neural network control of nonlinear systems with unknown time delays. Autom Control, IEEE Trans on 48(11):2004–2010MathSciNetCrossRef
8.
Zurück zum Zitat Ge SS, Hong F, Lee TH (2004) Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. Syst Man Cybern Part B Cybern IEEE Trans on 34(1):499–516MathSciNetCrossRef Ge SS, Hong F, Lee TH (2004) Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. Syst Man Cybern Part B Cybern IEEE Trans on 34(1):499–516MathSciNetCrossRef
9.
Zurück zum Zitat Hong F, Ge SS, Lee TH (2005) Practical adaptive neural control of nonlinear systems with unknown time delays. Syst Man Cybern Part B Cybern IEEE Trans on 35(4):849–854CrossRef Hong F, Ge SS, Lee TH (2005) Practical adaptive neural control of nonlinear systems with unknown time delays. Syst Man Cybern Part B Cybern IEEE Trans on 35(4):849–854CrossRef
10.
Zurück zum Zitat Hua M, Tan H, Chen J (2013) Delay-dependent h and generalized h 2 filtering for stochastic neural networks with time-varying delay and noise disturbance. Neural Comput Appl 25:613–624CrossRef Hua M, Tan H, Chen J (2013) Delay-dependent h and generalized h 2 filtering for stochastic neural networks with time-varying delay and noise disturbance. Neural Comput Appl 25:613–624CrossRef
11.
Zurück zum Zitat Ioannou PA, Sun J (2012) Robust adaptive control. Courier Dover Publications, New York Ioannou PA, Sun J (2012) Robust adaptive control. Courier Dover Publications, New York
12.
Zurück zum Zitat Jiang ZP, Lefeber E, Nijmeijer H (2001) Saturated stabilization and tracking of a nonholonomic mobile robot. Syst Control Lett 42(5):327–332MATHMathSciNetCrossRef Jiang ZP, Lefeber E, Nijmeijer H (2001) Saturated stabilization and tracking of a nonholonomic mobile robot. Syst Control Lett 42(5):327–332MATHMathSciNetCrossRef
13.
Zurück zum Zitat Karason S, Annaswamy A (1994) Adaptive control in the presence of input constraints. Autom Control IEEE Trans on 39(11):2325–2330MATHMathSciNetCrossRef Karason S, Annaswamy A (1994) Adaptive control in the presence of input constraints. Autom Control IEEE Trans on 39(11):2325–2330MATHMathSciNetCrossRef
14.
Zurück zum Zitat Kosmatopoulos EB, Polycarpou MM, Christodoulou MA, Ioannou PA (1995) High-order neural network structures for identification of dynamical systems. Neural Netw IEEE Trans on 6(2):422–431CrossRef Kosmatopoulos EB, Polycarpou MM, Christodoulou MA, Ioannou PA (1995) High-order neural network structures for identification of dynamical systems. Neural Netw IEEE Trans on 6(2):422–431CrossRef
15.
Zurück zum Zitat Li Z, Duan Z, Ren W, Feng G (2014) Containment control of linear multi-agent systems with multiple leaders of bounded inputs using distributed continuous controllers. Int J Robust Nonlinear Control. doi:10.1002/rnc.3195 Li Z, Duan Z, Ren W, Feng G (2014) Containment control of linear multi-agent systems with multiple leaders of bounded inputs using distributed continuous controllers. Int J Robust Nonlinear Control. doi:10.​1002/​rnc.​3195
16.
Zurück zum Zitat Liao X, Chen G, Sanchez EN (2002) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Netw 15(7):855–866MathSciNetCrossRef Liao X, Chen G, Sanchez EN (2002) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Netw 15(7):855–866MathSciNetCrossRef
17.
Zurück zum Zitat Lin D, Wang X, Yao Y (2012) Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation. Nonlinear Dyn 67(4):2889–2897MATHMathSciNetCrossRef Lin D, Wang X, Yao Y (2012) Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation. Nonlinear Dyn 67(4):2889–2897MATHMathSciNetCrossRef
19.
Zurück zum Zitat Polycarpou M, Farrell J, Sharma M (2003) On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: American Control Conference, 2003. Proceedings of the 2003, vol. 1:543–548. IEEE Polycarpou M, Farrell J, Sharma M (2003) On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: American Control Conference, 2003. Proceedings of the 2003, vol. 1:543–548. IEEE
20.
Zurück zum Zitat Polycarpou MM (1996) Stable adaptive neural control scheme for nonlinear systems. Autom Control IEEE Trans on 41(3):447–451MATHMathSciNetCrossRef Polycarpou MM (1996) Stable adaptive neural control scheme for nonlinear systems. Autom Control IEEE Trans on 41(3):447–451MATHMathSciNetCrossRef
21.
Zurück zum Zitat Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. Neural Netw IEEE Trans on 16(1):195–202CrossRef Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. Neural Netw IEEE Trans on 16(1):195–202CrossRef
22.
Zurück zum Zitat Wang LX, Mendel JM (1992) Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. Neural Netw IEEE Trans on 3(5):807–814CrossRef Wang LX, Mendel JM (1992) Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. Neural Netw IEEE Trans on 3(5):807–814CrossRef
23.
Zurück zum Zitat Wang M, Chen B, Liu X, Shi P (2008) Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems. Fuzzy Sets Syst 159(8):949–967MATHMathSciNetCrossRef Wang M, Chen B, Liu X, Shi P (2008) Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems. Fuzzy Sets Syst 159(8):949–967MATHMathSciNetCrossRef
24.
Zurück zum Zitat Wen C, Zhou J, Liu Z, Su H (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. Autom Control IEEE Trans on 56(7):1672–1678MathSciNetCrossRef Wen C, Zhou J, Liu Z, Su H (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. Autom Control IEEE Trans on 56(7):1672–1678MathSciNetCrossRef
25.
Zurück zum Zitat Xu S, Lam J (2005) Improved delay-dependent stability criteria for time-delay systems. Autom Control IEEE Trans on 50(3):384–387MathSciNetCrossRef Xu S, Lam J (2005) Improved delay-dependent stability criteria for time-delay systems. Autom Control IEEE Trans on 50(3):384–387MathSciNetCrossRef
26.
Zurück zum Zitat Yip PP, Hedrick JK (1998) Adaptive dynamic surface control: a simplified algorithm for adaptive backstepping control of nonlinear systems. Int J Control 71(5):959–979MATHMathSciNetCrossRef Yip PP, Hedrick JK (1998) Adaptive dynamic surface control: a simplified algorithm for adaptive backstepping control of nonlinear systems. Int J Control 71(5):959–979MATHMathSciNetCrossRef
27.
Zurück zum Zitat Yu Z, Li S, Du H (2014) Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions. Neural Comput Appl 25(7–8):1979–1992CrossRef Yu Z, Li S, Du H (2014) Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions. Neural Comput Appl 25(7–8):1979–1992CrossRef
28.
Zurück zum Zitat Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems: nonsmooth nonlinearities, interactions or time-variations, vol 372. Springer, Berlin Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems: nonsmooth nonlinearities, interactions or time-variations, vol 372. Springer, Berlin
29.
Zurück zum Zitat Zhu B, Zhang Q, Chang C (2014) Delay-dependent dissipative control for a class of non-linear system via takagi-sugeno fuzzy descriptor model with time delay. Control Theory Appl IET 8(7):451–461MathSciNetCrossRef Zhu B, Zhang Q, Chang C (2014) Delay-dependent dissipative control for a class of non-linear system via takagi-sugeno fuzzy descriptor model with time delay. Control Theory Appl IET 8(7):451–461MathSciNetCrossRef
Metadaten
Titel
Adaptive neural control with intercepted adaptation for time-delay saturated nonlinear systems
verfasst von
Shigen Gao
Bin Ning
Hairong Dong
Publikationsdatum
01.11.2015
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 8/2015
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-015-1855-6

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