Skip to main content
Log in

Unknown Input Observer Design for Takagi-Sugeno Systems with Fuzzy Output Equation

  • Regular Papers
  • Technical Notes and Correspondence
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper studies unknown input observer design for discrete-time Takagi-Sugeno fuzzy systems. The proposed unknown input observer has a new structure that can be applied to Takagi-Sugeno fuzzy systems with nonlinear output equation. We derive the design conditions of the proposed unknown input observer based on Lyapunov function and convert them into a set of linear matrix inequalities. Numerical simulations of a vehicle lateral dynamics are given to illustrate the effectiveness of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. K. Ahn, P. Shi, and M. V. Basin, “Two–dimensional dissipative control and filtering for roesser model,” IEEE Trans. on Automatic Control, vol. 60, no. 7, pp. 1745–1759, 2015.

    Article  MathSciNet  MATH  Google Scholar 

  2. K. Zhang, B. Jiang, and P. Shi, Observer–based Fault Estimation and Accomodation for Dynamic Systems, vol. 436, Springer, 2012.

  3. S. Guo, F. Zhu, and L. Xu, “Unknown input observer design for Takagi–Sugeno fuzzy stochastic system,” International Journal of Control, Automation and Systems, vol. 13, no. 4, pp. 1003–1009, 2015.

    Article  Google Scholar 

  4. Y. Li, H. R. Karimi, M. Zhong, S. X. Ding, and S. Liu, “Fault detection for linear discrete time–varying systems with multiplicative noise: the finite–horizon case,” IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 65, no. 10, pp. 3492–3505, Oct. 2018.

    Article  MathSciNet  Google Scholar 

  5. X. Li, F. Zhu, and J. Zhang, “State estimation and simultaneous unknown input and measurement noise reconstruction based on adaptive H¥ observer,” International Journal of Control, Automation and Systems, vol. 14, no. 3, pp. 647–654, 2016.

    Article  Google Scholar 

  6. X. Yu, P. Li, and Y. Zhang, “The design of fixed–time observer and finite–time fault–tolerant control for hypersonic gliding vehicles,” IEEE Trans. on Industrial Electronics, vol. 65, no. 5, pp. 4135–4144, 2018.

    Article  Google Scholar 

  7. Y. Hou, F. Zhu, X. Zhao, and S. Guo, “Observer design and unknown input reconstruction for a class of switched descriptor systems,” IEEE Trans. on Systems, Man, and Cybernetics: Systems, vol. 48, no. 8, pp. 1411–1419, Apr. 2017.

    Article  Google Scholar 

  8. W. Zhang, H. Su, F. Zhu, and G. M. Azar, “Unknown input observer design for one–sided Lipschitz nonlinear systems,” Nonlinear Dynamics, vol. 79, no. 2, pp. 1469–1479, 2015.

    Article  MathSciNet  MATH  Google Scholar 

  9. K. Zhang, B. Jiang, and V. Cocquempot, “Fuzzy unknown input observer–based robust fault estimation design for discrete–time fuzzy systems,” Signal Processing, vol. 128, pp. 40–47, 2016.

    Article  Google Scholar 

  10. S. Mondal, G. Chakraborty, and K. Bhattacharyy, “LMI approach to robust unknown input observer design for continuous systems with noise and uncertainties,” International Journal of Control, Automation and Systems, vol. 8, no. 2, pp. 210–219, 2010.

    Article  Google Scholar 

  11. D. Ichalal and S. Mammar, “On unknown input observers for LPV systems,” IEEE Trans. on Industrial Electronics, vol. 62, no. 9, pp. 5870–5880, 2015.

    Article  Google Scholar 

  12. W.–J. Chang, L.–Z. Liu, and C.–C. Ku, “Passive fuzzy controller design via observer feedback for stochastic Takagi–Sugeno fuzzy models with multiplicative noises,” International Journal of Control, Automation and Systems, vol. 9, no. 3, pp. 550–557, 2011.

    Article  Google Scholar 

  13. J. Cheng, J. H. Park, Y. Liu, Z. Liu, and L. Tang, “Finitetime H¥ fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions,” Fuzzy Sets and Systems, vol. 314, pp. 99–115, 2017.

    Article  MathSciNet  MATH  Google Scholar 

  14. D. Zhai, L. An, J. Dong, and Q. Zhang, “Switched adaptive fuzzy tracking control for a class of switched nonlinear systems under arbitrary switching,” IEEE Trans. on Fuzzy Systems, vol. 26, no. 2, pp. 585–597, 2018.

    Article  Google Scholar 

  15. H. D. Choi, C. K. Ahn, P. Shi, L. Wu, and M. T. Lim, “Dynamic output–feedback dissipative control for T–S fuzzy systems with time–varying input delay and output constraints,” IEEE Trans. on Fuzzy Systems, vol. 25, no. 3, pp. 511–526, 2017.

    Article  Google Scholar 

  16. M. Shen and D. Ye, “Improved fuzzy control design for nonlinear markovian–jump systems with incomplete transition descriptions,” Fuzzy Sets and Systems, vol. 217, pp. 80–95, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  17. C.–C. Ku, W.–J. Chang, C.–H. Lin, and Y.–C. Chang, “Imperfect premise matching based fuzzy control with passive constraints for discrete time–delay multiplicative noised stochastic nonlinear systems,” International Journal of Control, Automation and Systems, vol. 11, no. 3, pp. 614–623, 2013.

    Article  Google Scholar 

  18. W. Xie, Y.–L. Wang, J. Zhang, and M.–Y. Fu, “Novel separation principle based H¥ observer–controller design for a class of ts fuzzy systems,” IEEE Trans. on Fuzzy Systems, vol. 26, no. 6, pp. 3206–3221, December 2018.

    Article  Google Scholar 

  19. S.–J. Yeh, W. Chang, and W.–J. Wang, “Unknown input based observer synthesis for uncertain Takagi–Sugeno fuzzy systems,” IET Control Theory and Applications, vol. 9, no. 5, pp. 729–735, 2015.

    Article  MathSciNet  Google Scholar 

  20. M. Chadli and H. R. Karimi, “Robust observer design for unknown inputs Takagi–Sugeno models,” IEEE Trans. on Fuzzy Systems, vol. 21, no. 1, pp. 158–164, 2013.

    Article  Google Scholar 

  21. Z. Nagy, E. Páll, and Z. Lendek, “Unknown input observer for a robot arm using T–S fuzzy descriptor models,” Proc. of IEEE Conference on Control Technology and Applications (CCTA), IEEE, pp. 939–944, 2017.

    Google Scholar 

  22. V.–P. Vu and W.–J. Wang, “Observer synthesis for uncertain Takagi–Sugeno fuzzy systems with multiple output matrices,” IET Control Theory and Applications, vol. 10, no. 2, pp. 151–161, 2016.

    Article  MathSciNet  Google Scholar 

  23. Z. Wang, Y. Shen, X. Zhang, and Q. Wang, “Observer design for discrete–time descriptor systems: An LMI approach,” System & Control Letters, vol. 61, no. 6, pp. 683–687, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  24. C.–H. Fang, Y.–S. Liu, S.–W. Kau, L. Hong, and C.–H. Lee, “A new LMI–based approach to relaxed quadratic stabilization of T–S fuzzy control systems,” IEEE Trans. on Fuzzy Systems, vol. 14, no. 3, pp. 386–397, 2006.

    Article  Google Scholar 

  25. S. Mammar and D. Koenig, “Vehicle handling improvement by active steering,” Vehicle System Dynamics, vol. 38, no. 3, pp. 211–242, 2002.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhenhua Wang.

Additional information

Recommended by Associate Editor Jun Yoneyama under the direction of Editor Euntai Kim. This work was supported by the National Natural Science Foundation of China (61773145, 61502426) and the Funds from the National Defense Key Discipline of Space Exploration, Landing and Reentry in Harbin Institute of Technology under grant HIT.KLOF.2018.073.

Jitao Li received his combined B.S. degree from the Nanjing University of Aeronautics and Astronautics, Nanjing, China and the National Aerospace University Kharkiv Aviation Institute, Kharkiv, Ukraine in 2016. He is currently a Ph.D. candidate with the Department of Control Science and Engineering in Harbin Institute of Technology. His main research interests include state estimation and fault diagnosis.

Zhenhua Wang received his B.Sc. degree from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2008 and his M.Sc. and Ph.D. degrees from Harbin Institute of Technology, Harbin, China, in 2010 and 2014, respectively. From 2016 to 2017, he was a visiting scholar in the University of Adelaide, Adelaide, Australia. He is currently with the Department of Control Science and Engineering at Harbin Institute of Technology. His research interests include fault diagnosis and fault-tolerant control.

Yi Shen received his B.S., M.S. and Ph.D. degrees from the Harbin Institute of Technology in 1985, 1988 and 1995, respectively. He is a Professor with the Department of Control Science and Engineering, Harbin Institute of Technology. His current research interests include fault diagnosis for control systems, flight vehicle control and ultrasound signal processing.

Yipeng Liu received the B.S. degree in automation from Harbin Institute of Technology, Harbin, China, in 2009, the M.S. degree and the Ph.D. degree both in control science and engineering from Harbin Institute of Technology, Harbin, China, in 2011 and 2015, respectively. He was a visiting scholar in Medical Physics from the University of Chicago, Chicago, USA, from 2012 to 2013. He is currently with college of information engineering at Zhejiang University of Technology, Hangzhou, China. His research interests include computational modeling and intelligent system.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, J., Wang, Z., Shen, Y. et al. Unknown Input Observer Design for Takagi-Sugeno Systems with Fuzzy Output Equation. Int. J. Control Autom. Syst. 17, 267–272 (2019). https://doi.org/10.1007/s12555-018-0170-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-018-0170-2

Keywords

Navigation