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Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control pp 57–90Cite as

Reduced Order Observer Design Using Duality for Sliding Surface Design

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Abstract

This chapter gives the design of discrete-time reduced order observer design using duality between the discrete-time sliding surface design and discrete-time reduced order observer design. First, the duality between the discrete-time sliding surface design and discrete-time reduced or design of observer is explained. The advantage of the method is that the sliding surface and the observer are designed simultaneously. This method has been used to design Power System Stabilizer (PSS) of Single Machine Infinite Bus System (SMIB). Further, to show the efficacy of the method, a reduced order observer-based DSMC is designed for the laboratory experimental servo system and also implemented.

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References

  1. Bartoszewicz A (1998) Discrete-time quasi sliding mode control strategies. IEEE Trans Ind Electron 45(04):633–637

    Article  Google Scholar 

  2. Bourless H, Margotin T, Peres S (1997) Analysis and design of a robust coordinated AVR/PSS. In: IEEE-PES winter meeting, Anchorage

    Google Scholar 

  3. DeMello F, Concordia C (1969) Concepts of synchronous machine stability as affected by excitation control. IEEE Trans Power Appar Syst PAS 88:316–329

    Article  Google Scholar 

  4. Educational Control Products USA (2004) Manual for model 220. Industrial Emulator/servo Trainer, ECP

    Google Scholar 

  5. Ellis G (2002) Observers for linear systems: a practical guide. Academic Press, San Diego

    Google Scholar 

  6. Gopinath G (1999) On the control of linear multiple input-output system. Bell Syst Technol J 50(01):50–55

    MathSciNet  Google Scholar 

  7. Hamai Y, Inoue A, Deng M (2004) Duality between reduced-order observer and sliding mode controller and its application. In: Proceedings of SICE annual conference, Sapporo, vol 03

    Google Scholar 

  8. Inoue A, Hamai H, Deng M, Hirashima Y (2004) A design of an minimum-order observer by using the duality to sliding mode control law. Trans Inst Syst, Control Inf Eng 17(07):2145–2187

    Google Scholar 

  9. Jiang H, Cai H, Dorsey JF, Qu Z (1997) Towards a globally robust decentralized control for large scale power systems. IEEE Trans Control Syst Technol 05(03):309–319

    Article  Google Scholar 

  10. Kailath T (1980) Linear systems. Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  11. Kundur P (1993) Power system stability and control. McGraw-Hill Inc, New York

    Google Scholar 

  12. Larsen EV, Swann DA (1981) Applying power system stabilizers part-I: general concepts. IEEE Trans Power Appar Syst 100(06):3017–3024

    Google Scholar 

  13. Larsen EV, Swann DA (1981) Applying power system stabilizers part-III: practical considerations. IEEE Trans Power Appar Syst 100(06):3034–3048

    Google Scholar 

  14. Larsen EV, Swann DA (1981) Applying power system stabilizers part-II: performance objectives and tuning concepts. IEEE Trans Power Appar Syst 100(06):3025–3033

    Google Scholar 

  15. Luenberger DG (1966) Observers for multivariable systems. IEEE Trans Autom Control 11(02):190–197

    Article  Google Scholar 

  16. Luenberger DG (1971) An introduction to observers. IEEE Trans Autom Control 16(06):596–602

    Article  Google Scholar 

  17. Luenberger DG (1979) Introduction to dynamic systems: theory, models, and applications. Wiley, New York

    MATH  Google Scholar 

  18. Mehta A, Bandyopadhyay B (2007) Reduced order observer design for power system stabilizer using the duality to discrete time sliding surface design. In: Proceedings of 33rd annual conference of the IEEE industrial electronics society (IECON2007), Taipei, Taiwan, pp 908–914

    Google Scholar 

  19. Mehta AJ, Mehta HA (2012) Robust decentralized power system stabilizer for multi-machine power system using reduced order observer designed by the duality to sliding surface design. In: Proceedings of IEEE 12th international workshop on variable structure systems (VSS 2012), Mumbai, India, pp 142–148

    Google Scholar 

  20. Mehta A, Bandyopadhyay B, Inoue A (2010) Reduced-order observer design for servo system using duality to discrete-time sliding-surface design. IEEE Trans Ind Electron 57(11):3793–3800

    Article  Google Scholar 

  21. Mita T, Chen YF (1990) Sliding mode control with application to the trajectory control of robot arm. Syst, Control Inf 34(01):50–55

    Google Scholar 

  22. O’Reilly J (1983) Observers for linear systems. Academic Press, New York

    MATH  Google Scholar 

  23. Padiyar KR (1996) Power system dynamics stability and control. Interline Publishing Private Ltd, Bangalore

    Google Scholar 

  24. Wang Y, Guo G, Hill DJ (1997) Robust decentralized nonlinear controller design for multi-machine power systems. Automatica 33(09):1725–1733

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Infrastructure Technology Research and Management (IITRAM), Ahmedabad, Gujarat, India

    Axaykumar Mehta

  2. IDP in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra, India

    Bijnan Bandyopadhyay

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  1. Axaykumar Mehta
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  2. Bijnan Bandyopadhyay
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Correspondence to Axaykumar Mehta .

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Mehta, A., Bandyopadhyay, B. (2015). Reduced Order Observer Design Using Duality for Sliding Surface Design. In: Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control. SpringerBriefs in Applied Sciences and Technology. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2238-5_5

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  • DOI: https://doi.org/10.1007/978-81-322-2238-5_5

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2237-8

  • Online ISBN: 978-81-322-2238-5

  • eBook Packages: EngineeringEngineering (R0)

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