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Stabilization and State Estimation via Sliding Mode Control

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Theory of Hybrid Systems: Deterministic and Stochastic

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

This chapter deals with designing a nonlinear sliding mode control (SMC) and nonlinear sliding mode observer (SMO) for a class of linear time-invariant (LTI) singularly perturbed systems (SPS) subject to impulsive effects. As treaded in the last two chapters, the continuous states of the system are viewed as a large-scale interconnected system with two-timescale (slow and fast) subsystems.

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References

  1. Khalil HK (2002) Nonlinear systems. Prentice-Hall Inc, NJ

    Google Scholar 

  2. Alwan MS (2017) On stabilization and state estimation of impulsive singularly perturbed systems via sliding mode control. J Appl Nonlinear Dyn 6(1):105–119

    Article  MathSciNet  Google Scholar 

  3. Ahmed A, Schwartz H, Aitken V (2004) Sliding mode control for singularly perturbed system. In: 5th Asian Control Conference, vol 3, pp 1946–1950

    Google Scholar 

  4. Edwards C, Spuegeon SK (1998) Sliding mode control: theory and applications. Taylor & Francis, London

    Book  Google Scholar 

  5. Ryvkin S, Palomar Lever E (2012) Sliding mode control for synchronous electric drives. CRC Press/Balkema

    Google Scholar 

  6. Sinha A (2007) Linear systems: optimal and robust control. Taylor & Francis, CRC Press

    Book  Google Scholar 

  7. Tan S-C, Lai Y-M, Tse CK (2012) Sliding mode control of switching power converters: techniques and implementation. CRC Press

    Google Scholar 

  8. Utkin VI (1992) Sliding mode in control and optimization. Springer, New York

    Book  Google Scholar 

  9. Utkin VI, Guldner J, Shi J (2009) Sliding mode control in electromechanical systems. Taylor & Francis, London

    Google Scholar 

  10. Drakunov SV (1992) Sliding-mode observers-based on equivalent control method. In: Proceedings of the 31st IEEE conference on decision and control (CDC), Tucson, Arizona, December 1618, pp 2368–2370

    Google Scholar 

  11. Nguyen T, Gajic Z, Su W-C (2010) Sliding mode control for singularly perturbed linear continuous time systems: composite control approach. In: (2010) IEEE international symposium on computer-aided control system design, 2011–2016. Yokohama, Japan, p 2010

    Google Scholar 

  12. Su W-C (1998) Sliding surface design for singularly perturbed systems. In: Proceedings of the american control conference, Philadelphia, Pennsylvania, USA, pp 1508–1512

    Google Scholar 

  13. Zhang X, Qian X, Lu G (2011) Robust decentralized sliding mode control for uncertain stochastic systems with time delay. Chin Control Decis Conf 2011:116–121

    Google Scholar 

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Correspondence to Mohamad S. Alwan .

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© 2018 Springer Nature Singapore Pte Ltd. and Higher Education Press, Beijing

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Alwan, M.S., Liu, X. (2018). Stabilization and State Estimation via Sliding Mode Control. In: Theory of Hybrid Systems: Deterministic and Stochastic. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-10-8046-3_11

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  • DOI: https://doi.org/10.1007/978-981-10-8046-3_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8045-6

  • Online ISBN: 978-981-10-8046-3

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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