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International Hybrid Systems Workshop

HS 1995: Hybrid Systems III pp 553ā€“562Cite as

A new approach to robust control of hybrid systems

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1066))

Abstract

The paper presents a new approach to robust control synthesis problems for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete event controller. State and output feedback problems are considered. The main results are given in terms of the existence of suitable solutions to a dynamic programming equation and a Riccati differential equation of the H āˆž filtering type. These results show a connection between the theories of hybrid dynamical systems and robust and nonlinear control.

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References

  1. A. Gollu and P.P. Varaiya. Hybrid dynamical systems. In Proceedings of the 28rd IEEE Conference on Decision and Control, Tampa, 1989.

    Google ScholarĀ 

  2. P. J. Antsaklis, J.A. Stiver, and M. Lemmon. Hybrid systems modeling and autonomous control systems. In R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rishel, editors, Hybrid Systems. Springer-Verlag, New York, 1993.

    Google ScholarĀ 

  3. R.W. Brockett. Hybrid models for motion control systems. In H.L. Trentelman and J.C. Willems, editors, Essays in Control. Birkhauser, Boston, 1993.

    Google ScholarĀ 

  4. M.S. Branicky, V.S. Borkar, and S.K. Mitter. A unified framework for hybrid control. In Proceedings of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, Fl, 1994.

    Google ScholarĀ 

  5. P.P. Varaiya. Smart cars on smart roads: Problems of control. IEEE Transactions on Automatic Control, 38(2):195ā€“207, 1993.

    ArticleĀ  Google ScholarĀ 

  6. T. Basar and P. Bernhard. H āˆž -Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. BirkhƤuser, Boston, 1991.

    Google ScholarĀ 

  7. P. P. Khargonekar, K. M. Nagpal, and K. R. Poolla. H āˆž control with transients. SIAM Journal on Control and Optimization, 29(6):1373ā€“1393, 1991.

    ArticleĀ  Google ScholarĀ 

  8. M.R. James and J.S. Baras. Robust H infinity output feedback control for nonlinear systems. IEEE Transactions on Automatic Control, 40(6):1007ā€“1017, 1995.

    ArticleĀ  Google ScholarĀ 

  9. F. L. Lewis. Optimal Control. Wiley, New York, 1986.

    Google ScholarĀ 

  10. D. P. Bertsekas and I. B. Rhodes. Recursive state estimation for a set-membership description of uncertainty. IEEE Transactions on Automatic Control, 16(2):117ā€“128, 1971.

    ArticleĀ  Google ScholarĀ 

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Author information

Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Melbourne, Australia

    Andrey V. SavkinĀ &Ā Robin J. Evans

  2. Department of Electrical Engineering, Australian Defence Force Academy, Australia

    Ian R. Petersen

Authors
  1. Andrey V. Savkin
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  2. Robin J. Evans
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  3. Ian R. Petersen
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Editor information

Rajeev Alur Thomas A. Henzinger Eduardo D. Sontag

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Ā© 1996 Springer-Verlag Berlin Heidelberg

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Savkin, A.V., Evans, R.J., Petersen, I.R. (1996). A new approach to robust control of hybrid systems. In: Alur, R., Henzinger, T.A., Sontag, E.D. (eds) Hybrid Systems III. HS 1995. Lecture Notes in Computer Science, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020975

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  • DOI: https://doi.org/10.1007/BFb0020975

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61155-4

  • Online ISBN: 978-3-540-68334-6

  • eBook Packages: Springer Book Archive

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