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Sliding Mode Control

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Investigation of Spatial Control Strategies with Application to Advanced Heavy Water Reactor

Part of the book series: Energy Systems in Electrical Engineering ((ESIEE))

Abstract

In this chapter, sliding mode control (SMC) is designed for spatial control of Advanced Heavy Water Reactor (AHWR). Nonlinear system of AHWR has 90 states, 18 outputs, and 5 inputs. When linearized, the model is observed to be highly stiff. Therefore, direct application of the control method to the full-order system results into numerical ill-conditioning. Hence, full-order system of AHWR is separated into slow and fast subsystems of dimensions 73 and 17, respectively, by direct block diagonalization and sliding mode controller design is carried out using simply slow subsystem states. Afterward, SMC for full-order system is formulated by straightforward linear transformation matrices. In this, it is also demonstrated that slow subsystem SMC results in a sliding mode motion for full-order system. Nonlinear dynamic simulations have been carried out to show efficacy and robustness of the technique.

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References

  1. Ahmed, A.E., Schwartz, H.M., Aitken, V.C.: Sliding mode control for singularly perturbed system. Proc. Asian Control Conf. 3, 1946–1950 (2004)

    Google Scholar 

  2. Ansarifar, G.R., Rafiei, M.: Second-order sliding-mode control for a pressurized water nuclear reactor considering the xenon concentration feedback. Nucl. Eng. Technol. 47, 94–101 (2015)

    Article  Google Scholar 

  3. Ansarifar, G.R., Saadatzi, S.: Sliding mode control for pressurized-water nuclear reactors in load following operations with bounded xenon oscillations. Ann. Nucl. Energy 76, 209–217 (2015)

    Article  Google Scholar 

  4. Bandyopadhyay, B., G’Egziabher, A., Janardhanan, S., Victor, S.: Sliding mode control design via reduced order model approach. Int. J. Autom. Comput. 4(4), 329–334 (2007)

    Article  Google Scholar 

  5. Decarlo, R., Zak, S.H., Matthews, G.O.: Variable structure control of nonlinear multivariable systems: a tutorial. Proc. IEEE 76(3), 212–232 (1988)

    Article  Google Scholar 

  6. Edwards, C., Spurgeon, S.K.: Sliding Mode Control: Theory and Applications. Taylor & Francis, London (1998)

    MATH  Google Scholar 

  7. Eom, M., Chwa, D.: Adaptive integral sliding mode control for nuclear research reactor with system uncertainties and input perturbation. Electr. Lett. 52, 272–274 (2016)

    Article  Google Scholar 

  8. Furuta, K., Pan, Y.: Variable structure control with sliding sector. Automatica 36, 211–228 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Heck, B.S.: Sliding mode for singularly perturbed systems. Int. J. Control 53(4), 985–1001 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  10. Hung, J.Y., Gao, W., Hung, J.C.: Variable structure control: a survey. IEEE Trans. Ind. Electron. 40, 2–22 (1993)

    Article  Google Scholar 

  11. Innocenti, M., Greco, L., Pollini, L.: Sliding mode control for two-time-scale systems: stability issues. Automatica 39(2), 273–280 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  12. Li, T.-H.S., Huang, J.-J.: Simplex sliding mode control of singular perturbation systems. Proc. IEEE Ind. Electron. Control Instrum. 2, 742–747 (1995)

    Google Scholar 

  13. Li, T.-H.S., Lin, J.-L., Kung, F.-C.: Composite sliding mode control of singular perturbation systems. Proc. Am. Control Conf. 3, 2248–2249 (1995)

    Google Scholar 

  14. Munje, R.K., Musmade, B.B., Parkhe, J.G., Patre, B.M.: Sliding mode control for three-time-scale system with matched disturbances. Proc. Ann. IEEE India Conf., pp. 421–434 (2012)

    Google Scholar 

  15. Munje, R.K., Patre, B.M., Shimjith, S.R., Tiwari, A.P.: Sliding mode control for spatial stabilization of advanced heavy water reactor. IEEE Trans. Nucl. Sci. 60, 3040–3050 (2013)

    Article  Google Scholar 

  16. Nguyen, T., Su, W-C., Gajic, Z.: Sliding mode control for singularly perturbed linear continuous time systems: composite control approaches. IEEE Int. Symp. Comput.-Aided Control Syst. Des., pp. 1946–1950 (2010)

    Google Scholar 

  17. Nguyen, T., Su, W.-C., Gajic, Z.: Variable structure control for singularly perturbed linear continuous systems with matched disturbance. IEEE Trans. Autom. Control 57(3), 777–783 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  18. Shimjith, S.R., Tiwari, A.P., Bandyopadhyay, B.: A three-time-scale approach for design of linear state regulator for spatial control of advanced heavy water reactor. IEEE Trans. Nucl. Sci. 58(3), 1264–1276 (2011)

    Article  Google Scholar 

  19. Slotin, J.: Sliding mode control design for nonlinear systems. Int. J. Control 40, 421–434 (1984)

    Article  Google Scholar 

  20. Utkin, V.I.: Variable structure systems with sliding modes. IEEE Trans. Autom. Control 22, 212–222 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  21. Utkin, V.I., Guldner, J., Shi, J.: Sliding Mode Control in Electromechanical Systems. Taylor & Francis, Bristol (1999)

    Google Scholar 

  22. Young, K.D., Utkin, V.I., Ozguner, U.: A control engineers guide to sliding mode control. IEEE Trans. Control Syst. Technol. 7(3), 328–342 (1999)

    Article  Google Scholar 

  23. Yue, D., Xu, S.: Sliding mode control of singular perturbation systems. Proc. IEEE Int. Conf. Syst. Man Cybern. 1, 113–116 (1996)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, K. K. Wagh Institute of Engineering Education and Research, Nashik, Maharashtra, India

    Ravindra Munje

  2. Shri Guru Gobind Singhji Institute of Engineering and Technology, Nanded, Maharashtra, India

    Balasaheb Patre

  3. Bhabha Atomic Research Centre, Mumbai, Maharashtra, India

    Akhilanand Tiwari

Authors
  1. Ravindra Munje
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  2. Balasaheb Patre
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  3. Akhilanand Tiwari
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Correspondence to Ravindra Munje .

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Munje, R., Patre, B., Tiwari, A. (2018). Sliding Mode Control. In: Investigation of Spatial Control Strategies with Application to Advanced Heavy Water Reactor. Energy Systems in Electrical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-3014-7_5

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  • DOI: https://doi.org/10.1007/978-981-10-3014-7_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3013-0

  • Online ISBN: 978-981-10-3014-7

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