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Robust covariance control

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 183))

Abstract

This paper extands first the covariance assignment theory for continuous time systems to the assignment of a covariance upper bound in the presence of structured perturbations. A systematic way is given to construct an assignable covariance upper bound for the purpose of robust design.

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References

  1. A. Hotz and R. Skelton, ‘Covariance Control Theory', Int. J. Control Vol. 46, No. 1, pp. 13–32, 1987.

    Article  MATH  MathSciNet  Google Scholar 

  2. E. Collins and R. Skelton, ‘A Theory of State Covariance Assignment for Discrete Systems', IEEE Trans. Auto. Control, Vol. AC-32, No. 1, pp. 35–41, Jan. 1987.

    Article  MathSciNet  Google Scholar 

  3. R. Skelton and M. Ikeda, ‘Covariance Controllers for Linear Continuous Time Systems', Int. J. Control, Vol. 49, No. 5, pp. 1773–1785, 1989.

    Article  MATH  MathSciNet  Google Scholar 

  4. C. Hsieh and R. Skelton, ‘All Discrete-Time Covariance Controllers', Proceedings ACC, Pittsburgh, 1989.

    Google Scholar 

  5. J.-H. Xu, R.E. Skelton and G. Zhu, ‘Upper and Lower Covariance Bounds for Perturbed Linear Systems', IEEE Trans. Auto. Control, vol. AC-35, no. 8, pp. 944–948, Aug. 1990.

    Article  MathSciNet  Google Scholar 

  6. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, Wiley, New York, 1972.

    MATH  Google Scholar 

  7. K. Yasuda, R.E. Skelton and K. Grigoriadis, ‘Covariance Controllers: A New Parameterization of the Class of All Stabilizing Controllers,’ submitted for publication in Automatica, 1990.

    Google Scholar 

  8. J.C. Doyle, K. Glover, P.P. Khargonekar and B.A. Francis, ‘State-Space Solution to Standard H2 and H Control Problems', IEEE Trans. Auto. Control, vol. AC-34, no. 8, pp. 831–847, Aug. 1989.

    Article  MathSciNet  Google Scholar 

  9. D. Williamson, ‘Roundoff Noise Minimization and Pole-Zero Sensitivity in Fixed Point Digital Filters Using Residue Feedback,’ IEEE Trans. Acoustics, Speech and Signal Processing, vol. ASSP-34, no. 4, pp. 1013–1016, Aug. 1986.

    Article  Google Scholar 

  10. D. Williamson and R.E. Skelton, ‘Optimal q-Markov Cover for Finite Wordlength Implementation,’ Proc. ACC, Atlanta, 1988.

    Google Scholar 

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Authors

Editor information

L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Shigeyuki Hosoe

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© 1992 Springer-Verlag

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Xu, J.H., Skelton, R.E. (1992). Robust covariance control. In: Davisson, L.D., et al. Robust Control. Lecture Notes in Control and Information Sciences, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0114654

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  • DOI: https://doi.org/10.1007/BFb0114654

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55961-0

  • Online ISBN: 978-3-540-47320-6

  • eBook Packages: Springer Book Archive

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