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Hybrid Observers

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Encyclopedia of Systems and Control
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Abstract

In first part two hybrid observer designs for non-hybrid systems are presented. In the second part, recently results available in the literature related to the observability and observer design for different classes of hybrid systems are introduced.

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  • Ahrens JH, Khalil HK (2009) High-gain observers in the presence of measurement noise: a switched-gain approach. Automatica 45(5):936–943

    Article  MathSciNet  Google Scholar 

  • Babaali M, Pappas GJ (2005) Observability of switched linear systems in continuous time. In: Morari M, Thiele L (eds) Hybrid systems: computation and control. Volume 3414 of lecture notes in computer science. Springer, Berlin/Heidelberg, pp 103–117

    Google Scholar 

  • Balluchi A, Benvenuti L, Benedetto MDD, Vincentelli ALS (2002) Design of observers for hybrid systems. In: Hybrid systems: computation and control, vol 2289. Springer, Stanford

    Google Scholar 

  • Biyik E, Arcak M (2006) A hybrid redesign of Newton observers in the absence of an exact discrete-time model. Syst Control Lett 55(8):429–436

    Article  MathSciNet  Google Scholar 

  • Branicky MS (1998) Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans Autom Control 43(5):475–482

    Article  MathSciNet  Google Scholar 

  • Carnevale D, Astolfi A (2009) Hybrid observer for global frequency estimation of saturated signals. IEEE Trans Autom Control 54(13):2461–2464

    Article  MathSciNet  Google Scholar 

  • Forni F, Teel A, Zaccarian L (2003) Follow the bouncing ball: global results on tracking and state estimation with impacts. IEEE Trans Autom Control 58(8):1470–1485

    MathSciNet  MATH  Google Scholar 

  • Goebel R, Sanfelice R, Teel AR (2009) Hybrid dynamical systems. IEEE Control Syst Mag 29:28–93

    Article  MathSciNet  Google Scholar 

  • Heemels WPMH, Camlibel MK, Schumacher J, Brogliato B (2011) Observer-based control of linear complementarity systems. Int J Robust Nonlinear Control 21(13):1193–1218. Special issues on hybrid systems

    Google Scholar 

  • Juloski AL, Heemels WPMH, Weiland S (2007) Observer design for a class of piecewise linear systems. Int J Robust Nonlinear Control 17(15):1387–1404

    Article  MathSciNet  Google Scholar 

  • Khalil HK, Praly L (2013) High-gain observers in nonlinear feedback control. Int J Robust Nonlinear Control 24:993–1015

    Article  MathSciNet  Google Scholar 

  • Liu Y (1997) Switching observer design for uncertain nonlinear systems. IEEE Trans Autom Control 42(12):1699–1703

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  • Martinelli F, Menini L, Tornambè A (2004) Observability, reconstructibility and observer design for linear mechanical systems unobservable in absence of impacts. J Dyn Syst Meas Control 125:549

    Article  Google Scholar 

  • Moraal P, Grizzle J (1995) Observer design for nonlinear systems with discrete-time measurements. IEEE Trans Autom Control 40(3):395–404

    Article  MathSciNet  Google Scholar 

  • Possieri C, Teel A (2016) Structural properties of a class of linear hybrid systems and output feedback stabilization. IEEE Trans Autom Control 62(6):2704–2719

    Article  MathSciNet  Google Scholar 

  • Prieur C, Tarbouriech S, Zaccarian L (2012) Hybrid high-gain observers without peaking for planar nonlinear systems. In: 2012 IEEE 51st annual conference on decision and control (CDC), Maui, pp 6175–6180

    Google Scholar 

  • Raff T, Allgower F (2008) An observer that converges in finite time due to measurement-based state updates. In: Proceedings of the 17th IFAC world congress, COEX, South Korea, vol 17, pp 2693–2695

    Google Scholar 

  • Sassano M, Carnevale D, Astolfi A (2011) Extremum seeking-like observer for nonlinear systems. In: 18th IFAC world congress, Milano, vol 18, pp 1849–1854

    Google Scholar 

  • Tanwani A, Shim H, Liberzon D (2013) Observability for switched linear systems: characterization and observer design. IEEE Trans Autom Control 58(5): 891–904

    Article  MathSciNet  Google Scholar 

  • Teel A (2010) Observer-based hybrid feedback: a local separation principle. In: American control conference (ACC), 2010, Baltimore, pp 898–903

    Google Scholar 

  • Vidal R, Chiuso A, Soatto S, Sastry S (2003) Observability of linear hybrid systems. In: Maler O, Pnueli A (eds) Hybrid systems: computation and control. Volume 2623 of lecture notes in computer science. Springer, Berlin/Heidelberg, pp 526–539

    Google Scholar 

  • Tornambé A (1992) High-gain observers for nonlinear systems. International Journal of Systems Science 23(9): 1475–1489

    Article  MathSciNet  Google Scholar 

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Correspondence to Daniele Carnevale .

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Carnevale, D. (2020). Hybrid Observers. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_95-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_95-2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Hybrid Observers
    Published:
    08 November 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_95-2

  2. Original

    Hybrid Observers
    Published:
    22 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_95-1