Skip to main content
Log in

A new robust H\(_\infty \) sliding mode observer-based state estimation and fault reconstruction for nonlinear uncertain boiler system

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper, a new robust H \(_\infty \) sliding mode observer is proposed for state estimation and fault reconstruction in the presence of uncertainties and disturbances. In the proposed method, the well-known H \(_\infty \) concepts are used for minimizing the effects of the uncertainty on the estimation of the states and reconstruction of the faults using linear matrix inequalities (LMIs). Also LMIs are developed for providing a sufficient condition for the stability of the observer. As the case study, an industrial boiler is considered as a nonlinear system and the proposed robust observer illustrates robust performance on estimation of its states and reconstruction of its fault in the presence of uncertainties. The resulting outcomes demonstrate promising capabilities of the proposed methodology.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Alwi H, Edwards C, Tan CP (2011) Fault detection and fault tolerant control using sliding modes. Springer, London

    Book  MATH  Google Scholar 

  • Astrom AK, Bell BR (2000) Drum boiler dynamics. Elsevier Autom 36(3):363–378

    MathSciNet  MATH  Google Scholar 

  • Chilali M, Gahinet P (1996) \(H_\infty \) design with pole placement constraints: an LMI approach. IEEE Trans Autom Control 358–367

  • Choi HH, Ro KS (2005) LMI-based sliding-mode observer design method. IEEE Proc Control Theory Appl 152(1):113–115

    Article  Google Scholar 

  • Dhahri S, Hmida FB, Sellami A (2011) Sliding mode observer-based fault reconstruction for uncertain linear systems. Am J Appl Sci 1032–1040

  • Dhahri S, Sellami A, Hmida B (2012) Robust H\(\infty \) sliding mode observer design for fault estimation in a class of uncertain nonlinear systems with LMI optimization approach. Int J Control Autom Syst 1032–1041

  • Edwards C, Spurgeon SK (1994) On the development of discontinuous observers. Int J Control 59:1211–1229

    Article  MathSciNet  MATH  Google Scholar 

  • Edwards C, Spurgeon SK (1998) Sliding mode control: theory and applications. Taylor and Francis Ltd, London

  • Hasan SN, Husain I (2009) A Luenberger-sliding mode observer for online parameter estimation and adaptation in high-performance induction motor drives. IEEE Trans Ind Appl 772–781

  • Lee DJ, Park Y, Park YS (2012) Robust H sliding mode descriptor observer for fault and output disturbance estimation of uncertain systems. IEEE Trans Autom Control 2928–2934

  • Liu C, Zhang K (2014) Sliding mode observer-based actuator fault detection for a class of linear uncertain systems. In: Proceedings of IEEE Chinese Guidance, navigation and control conference, 2014, IEEE, China, pp 230–234

  • Liu M, Shi P (2013) Sensor fault estimation and tolerant control for Itô stochastic systems with a descriptor sliding mode approach. Automatica 1242–1250

  • Liu M, Zhang L, Shi P, Karimi HR (2014) Robust control of stochastic systems against bounded disturbances with application to flight control. IEEE Trans Ind Electron 1504–1516

  • Mrunalini K, Kundu P, Dutta KK (2006) State space model for Drum boiler system. IE (1) J E

  • Ng KY, Tan CP, Oetomo D (2012) Disturbance decoupled fault reconstruction using cascaded sliding mode observers. Automatica 794–799

  • Raoufi R, Marquez HJ, Zinober ASI (2010) H\(\infty \) sliding mode observers for uncertain nonlinear Lipschitz systems with fault estimation synthesis. Int J Robust Nonlinear Control 1785–1801

  • Sharma V, Prat B (2012) Sliding mode observer based controller of uncertain systems: an LMI based approach. In: 2nd International conference on power, control and embedded systems 2012, Allahabad: IEEE, pp 1–5

  • Tan CP, Edwards C (2001) An LMI approach for designing sliding mode observer. Int J Control 59:1559–1568

    Article  MathSciNet  MATH  Google Scholar 

  • Tan CP, Edwards C (2010) Robust fault reconstruction in uncertain linear systems using multiple sliding mode observers in cascade. IEEE Trans Autom Control 855–868

  • Toroghi SM, Gharib MR, Ramezani AB, Rahmdel K (2012) Modeling and robust controller design for an industrial boiler. Energy Proc 1471–1477

  • Utkin VI (1992) Sliding modes in control optimisation. Springer, Berlin

    Book  MATH  Google Scholar 

  • Veluvolu KC, Soh YC (2010) Fault reconstruction and state estimation with sliding mode observers for Lipschitz non-linear systems. IET Control Theory Appl 1255–1263

  • Walcott BL, Zak SH (1987) State observation of nonlinear uncertain dynamical systems. IEEE Trans Autom control 32:166–170

    Article  MathSciNet  MATH  Google Scholar 

  • Wang Z, Rodrigues M, Theilliol D, Shen Y (2013) Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems. Int J Adapt Control Signal Process 1–26

  • Xie F, Ji B (2013) Design of sliding mode observer with uncertain time delay based on LMI. Eur J Environ Civil Eng 37–41

  • Xie F, Ji H (2014) Design of a Class of Sliding mode observer with time-varying Delay. Asian J Control 1–9

  • Yan XG, Edwards C (2008) Adaptive sliding-mode-observer-based fault reconstruction for nonlinear systems with parametric uncertainties. IEEE Trans Ind Electron 4029–4036

  • Yang J, Zhu F, Wang X, Bu X (2015) Robust sliding-mode observer-based sensor fault estimation, actuator fault detection and isolation for uncertain nonlinear systems. Int J Control Autom Syst 1–10

  • Zhang CF, Min Y, He J, Lue C (2012) LMI-based sliding mode observers for incipient faults detection in nonlinear system. J Appl Math 1–13

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hesam Komari Alaei.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants performed by any of the authors.

Additional information

Communicated by V. Loia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alaei, H.K., Yazdizadeh, A. A new robust H\(_\infty \) sliding mode observer-based state estimation and fault reconstruction for nonlinear uncertain boiler system. Soft Comput 21, 3957–3968 (2017). https://doi.org/10.1007/s00500-016-2046-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-016-2046-9

Keywords

Navigation