research-article

Observer-based indirect adaptive fuzzy control for SISO nonlinear systems with unknown gain sign

Author:

Wuxi ShiAuthors Info & Claims

Neurocomputing, Volume 171, Issue C

Pages 1598 - 1605

https://doi.org/10.1016/j.neucom.2015.08.004

Published: 01 January 2016 Publication History

Abstract

This paper develops an observer-based indirect adaptive fuzzy control scheme for a class of single-input single-output (SISO) nonlinear systems. The considered systems have unknown nonlinear functions, unknown control gain sign, and unmeasurable state variables. In this study, fuzzy systems are utilized to approximate unknown nonlinear functions, and a fuzzy adaptive state observer is designed to estimate the unmeasured state. A robust controller is used to compensate for the lumped errors, and the Nussbaum gain function is incorporated in the robust controller to estimate the unknown gain sign. Based on the strictly positive real Lyapunov design approach, the parameter adaptive laws are designed by the fuzzy basis functions rather than by its filtering. It is proved that all the signals in the closed-loop systems are bounded and that the tracking error converges asymptotically to zero. A simulation example is used to demonstrate the effectiveness of the proposed scheme.

References

[1]

L.-X. Wang, Stable adaptive fuzzy control of nonlinear systems, IEEE Trans. Fuzzy Syst., 1 (1993) 146-149.

Digital Library

[2]

B.-S. Chen, C.-H. Lee, Y.-C. Chang, H ∞ tracking design of uncertain nonlinear SISO systems, IEEE Trans. Fuzzy Syst., 4 (1996) 32-43.

Digital Library

[3]

K.-M. Koo, Stable adaptive fuzzy controller with time-varying dead-zone, Fuzzy Sets Syst., 121 (2001) 161-168.

Digital Library

[4]

D. Velez-Diaz, Y. Tang, Adaptive robust fuzzy control of nonlinear systems, IEEE Trans. Syst. Man Cybern. Part B: Cybern., 34 (2004) 1596-1601.

Digital Library

[5]

J.-H. Park, S.-J. Seo, G.-T. Park, Robust adaptive fuzzy controller for nonlinear system using estimation of bounds for approximation errors, Fuzzy Sets Syst., 133 (2003) 19-36.

Digital Library

[6]

M. Hojati, S. Gazor, Hybrid adaptive fuzzy identification and control of nonlinear systems, IEEE Trans. Fuzzy Syst., 10 (2002) 198-210.

Digital Library

[7]

A. Boulkroune, M. M'Saad, H. Chekireb, Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction, Inf. Sci., 180 (2010) 5041-5059.

Digital Library

[8]

S. Tong, T. Wang, J.T. Tang, Fuzzy adaptive output tracking control of nonlinear systems, Fuzzy Sets Syst., 111 (2000) 169-182.

Digital Library

[9]

S. Labiod, T.M. Guerra, Direct adaptive fuzzy control for a class of MIMO nonlinear systems, Int. J. Syst. Sci., 38 (2007) 665-675.

Digital Library

[10]

S. Labiod, M.S. Boucherit, T.M. Guerra, Adaptive fuzzy control of a class of MIMO nonlinear systems, Fuzzy Sets Syst., 151 (2005) 59-77.

[11]

W. Shi, M. Zhang, W. Guo, L. Guo, Stable adaptive fuzzy control for MIMO nonlinear systems, Comput. Math. Appl., 62 (2011) 2843-2853.

Digital Library

[12]

S. Tong, C. Liu, Y. Li, Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties, IEEE Trans. Fuzzy Syst., 18 (2010) 845-861.

Digital Library

[13]

S. Tong, X. He, H. Zhang, A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control, IEEE Trans. Fuzzy Syst., 17 (2009) 1059-1069.

Digital Library

[14]

G.G. Rigatos, Adaptive fuzzy control for non-linear dynamical systems based on differential flatness theory, IET Control Theory Appl., 6 (2012) 2644-2656.

[15]

A. Boulkroune, M. Farza, M. M'Saad, Fuzzy approximation-based indirect adaptive controller for multi-input multi-output non-affine systems with unknown control direction, IET Control Theory Appl., 6 (2012) 2619-2629.

[16]

S. Tong, T. Wang, Y. Li, B. Chen, A combined backstepping and stochastic small-gain approach to robust adaptive fuzzy output feedback control, IEEE Trans. Fuzzy Syst., 21 (2013) 314-327.

Digital Library

[17]

W. Shi, Adaptive fuzzy control for MIMO nonlinear systems with nonsymmetric control gain matrix and unknown control direction, IEEE Trans. Fuzzy Syst., 22 (2014) 1288-1300.

[18]

Y.-C. Hsueh, S.-F. Su, C.W. Tao, C.-C. Hsiao, Robust L 2 -gain compensative control for direct-adaptive fuzzy-control-system design, IEEE Trans. Fuzzy Syst., 18 (2010) 661-673.

Digital Library

[19]

Y.-C. Hsueh, S.-F. Su, Learning error feedback design of direct adaptive fuzzy control systems, IEEE Trans. Fuzzy Syst., 20 (2012) 536-545.

Digital Library

[20]

W. Shi, Observer-based fuzzy adaptive control for multi-input multi-output nonlinear systems with a nonsymmetric control gain matrix and unknown control direction, Fuzzy Sets Syst., 263 (2015) 1-26.

Digital Library

[21]

W. Shi, Adaptive fuzzy control for multi-input multi-output nonlinear systems with unknown dead-zone inputs, Appl. Soft Comput., 30 (2015) 36-47.

Digital Library

[22]

L.-X. Wang, Fuzzy systems are universal approximators, in: 1992 IEEE International Conference on Fuzzy Systems, San Diego, CA, USA, 1992, pp. 1163-1170.

[23]

X. Ye, Adaptive nonlinear output-feedback control with unknown high-frequency gain sign, IEEE Trans. Autom. Control, 46 (2001) 112-115.

[24]

X. Ye, J. Jiang, Adaptive nonlinear design without a priori knowledge of control directions, IEEE Trans. Autom. Control, 43 (1998) 1617-1621.

[25]

T. Zhang, S. Ge, Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs, Automatica, 43 (2007) 1021-1033.

Digital Library

[26]

S. Ge, F. Hong, T.H. Lee, Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients, IEEE Trans. Syst. Man Cybern. Part B: Cybern., 34 (2004) 499-516.

Digital Library

[27]

S. Tong, H.-X. Li, Direct adaptive fuzzy output tracking control of nonlinear systems, Fuzzy Sets Syst., 128 (2002) 107-115.

Digital Library

[28]

Y.-J. Liu, S.-C. Tong, T.-S. Li, Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems, Fuzzy Sets Syst., 164 (2011) 25-44.

Digital Library

[29]

I.-H. Li, L.-W. Lee, A hierarchical structure of observer-based adaptive fuzzy-neural controller for MIMO systems, Fuzzy Sets Syst., 185 (2011) 52-82.

Digital Library

[30]

S. Tong, S. Sui, Y. Li, Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained, IEEE Trans. Fuzzy Syst. 23 (4) 729-742. http://dx.doi.org/10.1109/TFUZZ.2014.2327987.

Digital Library

[31]

W.-Y. Wang, Y.-G. Leu, T.-T. Lee, Output-feedback control of nonlinear systems using direct adaptive fuzzy-neural controller, Fuzzy Sets Syst., 140 (2003) 341-358.

[32]

Y.-G. Leu, W.-Y. Wang, T.-T. Lee, Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems, IEEE Trans. Neural Netw., 16 (2005) 853-861.

Digital Library

[33]

T.-C. Lin, C.-H. Wang, H.-L. Liu, Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H ∞ approaches, Fuzzy Sets Syst., 143 (2004) 211-232.

[34]

S. Tong, H.-X. Li, Fuzzy adaptive sliding-mode control for MIMO nonlinear systems, IEEE Trans. Fuzzy Syst., 11 (2003) 354-360.

Digital Library

[35]

Y.-G. Leu, T.-T. Lee, W.-Y. Wang, Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems, IEEE Trans. Syst. Man Cybern. Part B: Cybern., 29 (1999) 583-591.

Digital Library

[36]

J.-H. Park, G.-T. Park, S.-H. Kim, C.-J. Moon, Output-feedback control of uncertain nonlinear systems using a self-structuring adaptive fuzzy observer, Fuzzy Sets Syst., 151 (2005) 21-42.

[37]

J.-H. Park, G.-T. Park, Adaptive fuzzy observer with minimal dynamic order for uncertain nonlinear systems, IEE Proc. Control Theory Appl., 150 (2003) 189-197.

[38]

Y. Wang, T. Chai, Y. Zhang, State observer-based adaptive fuzzy output-feedback control for a class of uncertain nonlinear systems, Inf. Sci., 180 (2010) 5029-5040.

Digital Library

[39]

S. Tong, B. Chen, Y. Wang, Fuzzy adaptive output feedback control for MIMO nonlinear systems, Fuzzy Sets Syst., 156 (2005) 285-299.

Digital Library

[40]

S. Tong, Y. Li, Adaptive fuzzy output feedback control of MIMO nonlinear systems with unknown dead-zone inputs, IEEE Trans. Fuzzy Syst., 21 (2013) 134-146.

Digital Library

[41]

S.C. Tong, Y.M. Li, G. Feng, T.S. Li, Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems, IEEE Trans. Syst. Man Cybern. Part B: Cybern., 41 (2011) 1124-1135.

Digital Library

[42]

Y. Li, S. Tong, T. Li, Observer-based adaptive fuzzy tracking control of MIMO stochastic nonlinear systems with unknown control direction and unknown dead-zones, IEEE Trans. Fuzzy Syst. 23 (4) 1228-1241. http://dx.doi.org/10.1109/TFUZZ.2014.2348017.

Digital Library

[43]

S. Tong, C. Li, Y. Li, Fuzzy adaptive observer backstepping control for MIMO nonlinear systems, Fuzzy Sets Syst., 160 (2009) 2755-2775.

Digital Library

[44]

A. Boulkroune, M. Tadjine, M. M'Saad, M. Farza, How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems, Fuzzy Sets Syst., 159 (2008) 926-948.

Digital Library

[45]

A. Boulkroune, M. M'saad, On the design of observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign, Fuzzy Sets Syst., 201 (2012) 71-85.

Digital Library

[46]

R. Nussbaum, Some remarks on a conjecture in parameter adaptive control, Syst. Control Lett., 3 (1983) 243-246.

[47]

J. Slotine, W. Li, Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991.

Cited By

Luo GWang ZMa BWang YXu J(2021)Observer-based interval type-2 fuzzy friction modeling and compensation control for steer-by-wire systemNeural Computing and Applications10.1007/s00521-021-05801-533:16(10429-10448)Online publication date: 1-Aug-2021
https://dl.acm.org/doi/10.1007/s00521-021-05801-5
Bounemeur AChemachema M(2020)Adaptive fuzzy fault-tolerant control using Nussbaum-type function with state-dependent actuator failuresNeural Computing and Applications10.1007/s00521-020-04977-633:1(191-208)Online publication date: 13-May-2020
https://dl.acm.org/doi/10.1007/s00521-020-04977-6
Kalat A(2019)A robust direct adaptive fuzzy control for a class of uncertain nonlinear MIMO systemsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-018-3543-923:19(9747-9759)Online publication date: 1-Oct-2019
https://dl.acm.org/doi/10.1007/s00500-018-3543-9
Show More Cited By

Index Terms

Observer-based indirect adaptive fuzzy control for SISO nonlinear systems with unknown gain sign

Index terms have been assigned to the content through auto-classification.

Recommendations

Observer-based fuzzy adaptive control for multi-input multi-output nonlinear systems with a nonsymmetric control gain matrix and unknown control direction

In this study, we present an observer-based fuzzy adaptive control scheme for a class of uncertain multi-input multi-output nonlinear systems with a nonsymmetric control gain matrix, unknown control direction, and unmeasured states. In this scheme, ...
Read More
Observer-based adaptive fuzzy output constrained control for MIMO nonlinear systems with unknown control directions

In this paper, an adaptive fuzzy output feedback control approach is proposed for a class of multi-input and multi-output (MIMO) uncertain nonlinear systems with unmeasured states and unknown control directions. In the control design, by using fuzzy ...
Read More
Observer-based fuzzy adaptive prescribed performance tracking control for nonlinear stochastic systems with input saturation

In this paper, the problem of prescribed performance adaptive fuzzy output feedback control is investigated for a class of single-input and single-output nonlinear stochastic systems with input saturation and unmeasured states. Fuzzy logic systems are ...
Read More

Comments

Information & Contributors

Information

Published In

cover image Neurocomputing

Neurocomputing Volume 171, Issue C

January 2016

1693 pages

ISSN:0925-2312

Issue’s Table of Contents

Copyright © Elsevier B.V.

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 January 2016

Author Tags

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

8
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Other Metrics

View Author Metrics

Citations

Cited By

Luo GWang ZMa BWang YXu J(2021)Observer-based interval type-2 fuzzy friction modeling and compensation control for steer-by-wire systemNeural Computing and Applications10.1007/s00521-021-05801-533:16(10429-10448)Online publication date: 1-Aug-2021
https://dl.acm.org/doi/10.1007/s00521-021-05801-5
Bounemeur AChemachema M(2020)Adaptive fuzzy fault-tolerant control using Nussbaum-type function with state-dependent actuator failuresNeural Computing and Applications10.1007/s00521-020-04977-633:1(191-208)Online publication date: 13-May-2020
https://dl.acm.org/doi/10.1007/s00521-020-04977-6
Kalat A(2019)A robust direct adaptive fuzzy control for a class of uncertain nonlinear MIMO systemsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-018-3543-923:19(9747-9759)Online publication date: 1-Oct-2019
https://dl.acm.org/doi/10.1007/s00500-018-3543-9
Wang SFu MWang Y(2019)Robust adaptive steering control for unmanned surface vehicle with unknown control direction and input saturationInternational Journal of Adaptive Control and Signal Processing10.1002/acs.303033:7(1212-1224)Online publication date: 1-Jul-2019
https://dl.acm.org/doi/10.1002/acs.3030
Zhang FHua JLi Y(2018)Indirect Adaptive Fuzzy Control of SISO Nonlinear Systems With Input–Output Nonlinear RelationshipIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2018.280071426:5(2699-2708)Online publication date: 1-Oct-2018
https://dl.acm.org/doi/10.1109/TFUZZ.2018.2800714
Baghbani FAkbarzadeh-T MSistani M(2018)Stable robust adaptive radial basis emotional neurocontrol for a class of uncertain nonlinear systemsNeurocomputing10.1016/j.neucom.2018.03.051309:C(11-26)Online publication date: 2-Oct-2018
https://dl.acm.org/doi/10.1016/j.neucom.2018.03.051
Fallah Ghavidel HAkbarzadeh Kalat A(2018)Observer-based hybrid adaptive fuzzy control for affine and nonaffine uncertain nonlinear systemsNeural Computing and Applications10.1007/s00521-016-2732-730:4(1187-1202)Online publication date: 1-Aug-2018
https://dl.acm.org/doi/10.1007/s00521-016-2732-7
Ghavidel H(2018)Robust control of large-scale nonlinear systems by a hybrid adaptive fuzzy observer design with input saturationSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-017-2699-z22:19(6473-6487)Online publication date: 1-Oct-2018
https://dl.acm.org/doi/10.1007/s00500-017-2699-z

View Options

View options

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

Media

Figures

Other

Tables

View Issue’s Table of Contents