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Stabilizing Controllers

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A Course in Robust Control Theory

Part of the book series: Texts in Applied Mathematics ((TAM,volume 36))

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Abstract

We begin here our study of feedback design, which will occupy our attention in the next three chapters. In these chapters we will consider systematic design methods where objectives are first specified, and one can then exactly characterize when the specifications can be met, as well as find suitable controllers. In other words, design is based solely on clearly formulated specifications, rather than on a specific strategy chosen a priori.

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Notes and references

  1. B.A. Francis. Notes on introductory state space systems. 1997. Personal communication.

    Google Scholar 

  2. R.E. Kalman. On the general theory of control systems. In Proc. IFAC World Congress, 1960.

    Google Scholar 

  3. V. Belevitch. Classical Network Theory. Holden-Day, 1968.

    Google Scholar 

  4. M.L.J. Hautus. Controllability and observability conditions of linear autonomous systems. In Proc. Kon. Ned. Akad. Wetensch. Ser. A., 1969.

    Google Scholar 

  5. V.M. Popov. Hyperstability of Control Systems. Springer, 1973. In Romanian 1966.

    Google Scholar 

  6. V.M. Popov. The solution of a new stability problem for controlled system. Automation and Remote Control, 24: 1–23, 1963.

    MathSciNet  MATH  Google Scholar 

  7. W.M. Wonham. On pole assignment in multi-input controllable linear systems. IEEE Transactions on Automatic Control, 12: 660–665, 1967.

    Article  Google Scholar 

  8. E. Gilbert. Controllability and observability in multivariable control systems. SIAM Journal of Control, 1: 128–151, 1963.

    MATH  Google Scholar 

  9. R.E. Kalman. Mathematical descriptions of linear systems. SIAM Journal of Control, 1: 152–192, 1963.

    MathSciNet  MATH  Google Scholar 

  10. D.G. Luenberger. Observing the state of a linear system. IEEE Transactions on Military Electronics, 8: 74–80, 1964.

    Article  Google Scholar 

  11. R.W. Brockett. Finite Dimensional Linear Systems. Wiley, 1970.

    Google Scholar 

  12. C.T. Chen. Linear System Theory and Design. Holt, Rhinehart, and Winston, 1984.

    Google Scholar 

  13. E.D. Sontag. Mathematical Control Theory. Springer, 1998.

    Google Scholar 

  14. W.M. Wonham. Linear Multivariable Control. Springer, 1985.

    Google Scholar 

  15. T. Kailath. Linear Systems. Prentice-Hall, 1980.

    Google Scholar 

  16. R.F. Curtain and H.J. Zwart. An Introduction to Infinite Dimensional Systems Theory. Springer, 1995.

    Google Scholar 

  17. J.W. Polderman and J.C. Willems. Introduction to Mathematical Systems Theory: A Behavioral Approach. Springer, 1998.

    Google Scholar 

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© 2000 Springer Science+Business Media New York

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Dullerud, G.E., Paganini, F. (2000). Stabilizing Controllers. In: A Course in Robust Control Theory. Texts in Applied Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3290-0_6

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  • DOI: https://doi.org/10.1007/978-1-4757-3290-0_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3189-4

  • Online ISBN: 978-1-4757-3290-0

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