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2014 | OriginalPaper | Buchkapitel

8. Sliding Mode Control with Self-Turning Law for Uncertain Nonlinear Systems with Time-Delay and External Disturbances

verfasst von : Ran Zhen, Jinyong Chen, Xueli Wu, Quanmin Zhu, Hassan Nouri, Xiaojing Wu, Jianhua Zhang

Erschienen in: Applied Methods and Techniques for Mechatronic Systems

Verlag: Springer Berlin Heidelberg

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Abstract

This study proposes a novel sliding mode control with self-turning law for nonlinear systems with time-delay and external disturbances possessing uncertain parameters. The adjustable control gain and a bipolar sigmoid function are online tuned to force the tracking error to approach zero. The proposed control scheme provides good transient and steady-state performance. Moreover as the proposed controller, the chatting phenomenon can be avoided and the problem of time-delay and external disturbances are solved for a class of nonlinear systems. The closed-loop control system stability is proved to use the Lyapunov method. Steady-state system performance and chattering are considerably improved. Numerical simulation results are given to illustrate the effectiveness of the proposed procedure.

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Literatur
1.
Zurück zum Zitat Nekoukar V, Erfanian A (2011) Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems. Fuzzy Sets Syst 179(1):34–49CrossRefMathSciNetMATH Nekoukar V, Erfanian A (2011) Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems. Fuzzy Sets Syst 179(1):34–49CrossRefMathSciNetMATH
2.
Zurück zum Zitat Zhen R, Meng H, Meng FH (2010) Application of the fuzzy neural network with inverse identification structure on neutralization process. Int J Model Ident Control 9(1/2):53–58CrossRef Zhen R, Meng H, Meng FH (2010) Application of the fuzzy neural network with inverse identification structure on neutralization process. Int J Model Ident Control 9(1/2):53–58CrossRef
3.
Zurück zum Zitat Hu XX, Gang L, Gao HJ (2012) Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle. J Franklin Inst 349(2):559–577CrossRefMathSciNetMATH Hu XX, Gang L, Gao HJ (2012) Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle. J Franklin Inst 349(2):559–577CrossRefMathSciNetMATH
4.
Zurück zum Zitat Michael B, Pablo RR (2012) Sliding mode filter design for nonlinear polynomial systems with unmeasured states. Inform Sci 204(30):82–91MathSciNetMATH Michael B, Pablo RR (2012) Sliding mode filter design for nonlinear polynomial systems with unmeasured states. Inform Sci 204(30):82–91MathSciNetMATH
5.
Zurück zum Zitat Dominguez JR (2013) Robust nested sliding mode integral control for anti-lock brake system. Int J Veh Des 62(2–4):188–205MathSciNet Dominguez JR (2013) Robust nested sliding mode integral control for anti-lock brake system. Int J Veh Des 62(2–4):188–205MathSciNet
6.
Zurück zum Zitat Wu XL, Wu XJ, Du WX (2010) Adaptive fuzzy sliding mode control for uncertain nonlinear system with input nonlinearity. Int J Model Ident Control 11(3/4):186–192CrossRef Wu XL, Wu XJ, Du WX (2010) Adaptive fuzzy sliding mode control for uncertain nonlinear system with input nonlinearity. Int J Model Ident Control 11(3/4):186–192CrossRef
7.
Zurück zum Zitat Wu XJ, Wu XL, Zhen R, Luo XY, Zhu Q (2011) Adaptive control for time-delay non-linear systems with non-symmetric input non-linearity. Int J Model Ident Control 13(3):152–161CrossRef Wu XJ, Wu XL, Zhen R, Luo XY, Zhu Q (2011) Adaptive control for time-delay non-linear systems with non-symmetric input non-linearity. Int J Model Ident Control 13(3):152–161CrossRef
8.
Zurück zum Zitat Kuo TC, Huang YJ, Chang SH (2008) Sliding mode control with self-tuning law for uncertain nonlinear systems. ISA Trans 47(2):171–178CrossRef Kuo TC, Huang YJ, Chang SH (2008) Sliding mode control with self-tuning law for uncertain nonlinear systems. ISA Trans 47(2):171–178CrossRef
9.
Zurück zum Zitat Hasan K (2013) Non-singular: terminal sliding-mode control of DC-DC buck converters. Control Eng Pract 21(3):321–332CrossRef Hasan K (2013) Non-singular: terminal sliding-mode control of DC-DC buck converters. Control Eng Pract 21(3):321–332CrossRef
10.
Zurück zum Zitat Qian DW, Liu XJ (2012) Adaptive hierarchical sliding mode control for ball-beam system. Int J Model Ident Control 4(5/6):205–211 Qian DW, Liu XJ (2012) Adaptive hierarchical sliding mode control for ball-beam system. Int J Model Ident Control 4(5/6):205–211
11.
Zurück zum Zitat Erbatur K, Calli B (2009) Fuzzy boundary layer tuning for sliding mode systems applied to the control of a direct drive robot. Soft Comput 13(11):1099–1111CrossRefMATH Erbatur K, Calli B (2009) Fuzzy boundary layer tuning for sliding mode systems applied to the control of a direct drive robot. Soft Comput 13(11):1099–1111CrossRefMATH
12.
Zurück zum Zitat Ahmed F (2011) Adaptive fuzzy sliding mode control using supervisory fuzzy control for 3 DOF planar robot manipulators. Appl Soft Comput 11(8):4943–4953CrossRef Ahmed F (2011) Adaptive fuzzy sliding mode control using supervisory fuzzy control for 3 DOF planar robot manipulators. Appl Soft Comput 11(8):4943–4953CrossRef
13.
Zurück zum Zitat Seyed MRR (2012) Control of PEM fuel cell system via higher order sliding mode control. Int J Model Ident Control 6(3/4):310–329 Seyed MRR (2012) Control of PEM fuel cell system via higher order sliding mode control. Int J Model Ident Control 6(3/4):310–329
14.
Zurück zum Zitat Ho HF, Wong YK, Rad AB (2009) Adaptive fuzzy sliding mode control with chattering elimination for nonlinear SISO systems. Simul Model Pract Theory 17(7):1199–1210CrossRef Ho HF, Wong YK, Rad AB (2009) Adaptive fuzzy sliding mode control with chattering elimination for nonlinear SISO systems. Simul Model Pract Theory 17(7):1199–1210CrossRef
15.
Zurück zum Zitat Roopaei M, Balas VE (2009) Adaptive gain sliding mode control in uncertain MIMO systems. Soft Computing Applications, SOFA ’09.3rd International Workshop on, pp. 77–82 Roopaei M, Balas VE (2009) Adaptive gain sliding mode control in uncertain MIMO systems. Soft Computing Applications, SOFA ’09.3rd International Workshop on, pp. 77–82
16.
Zurück zum Zitat Nestor R, Enric FC (2013) A sliding mode controlled three wheeled narrow vehicle. Int J Veh Des 62(2–4):123–146 Nestor R, Enric FC (2013) A sliding mode controlled three wheeled narrow vehicle. Int J Veh Des 62(2–4):123–146
17.
Zurück zum Zitat Otto C (2012) Adaptive fuzzy sliding mode control for electro-hydraulic servo mechanism. Expert Syst Appl 39(11):10269–10277CrossRef Otto C (2012) Adaptive fuzzy sliding mode control for electro-hydraulic servo mechanism. Expert Syst Appl 39(11):10269–10277CrossRef
18.
Zurück zum Zitat Wu XL, Zhang, JH, Zhu QM (2010) A generalized procedure in designing recurrent neural network identification and control of time-varying-delayed nonlinear dynamic systems. Neurocomputing 73(7–9):1376–1383 (SCI) Wu XL, Zhang, JH, Zhu QM (2010) A generalized procedure in designing recurrent neural network identification and control of time-varying-delayed nonlinear dynamic systems. Neurocomputing 73(7–9):1376–1383 (SCI)
19.
Zurück zum Zitat Zhen R, Wu XL, Zhang JH (2010) Sliding model synchronization controller design for chaotic neural network with time-varying delay. Intelligent Control And Automation (WCICA), 2010 8th World Congress on, pp. 3914–3919 Zhen R, Wu XL, Zhang JH (2010) Sliding model synchronization controller design for chaotic neural network with time-varying delay. Intelligent Control And Automation (WCICA), 2010 8th World Congress on, pp. 3914–3919
20.
Zurück zum Zitat Zhang JH, Zhu QM, Wu XL, Li Y (2013) A generalized indirect adaptive neural networks backstepping control procedure for a class of non-affine nonlinear systems with pure-feedback prototype. Neurocomputing Available Online. Accessed 24 May 2013 Zhang JH, Zhu QM, Wu XL, Li Y (2013) A generalized indirect adaptive neural networks backstepping control procedure for a class of non-affine nonlinear systems with pure-feedback prototype. Neurocomputing Available Online. Accessed 24 May 2013
Metadaten
Titel
Sliding Mode Control with Self-Turning Law for Uncertain Nonlinear Systems with Time-Delay and External Disturbances
verfasst von
Ran Zhen
Jinyong Chen
Xueli Wu
Quanmin Zhu
Hassan Nouri
Xiaojing Wu
Jianhua Zhang
Copyright-Jahr
2014
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-36385-6_8

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