Skip to main content

A unified approach to H control by J-causal-anticausal factorization

  • Part D Robust Control
  • Conference paper
  • First Online:
Learning, control and hybrid systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 241))

  • 118 Accesses

Abstract

In this paper, H control problem has been discussed for linear continuous time-varying and also sampled-data systems in a unified framework. Controller characterization achieving suboptimal control has been given both in state-space and also in operator theoretic framework.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.C. Doyle, K. Glover, P.P. Khargonekar, and B. Francis, State-space solutions to standard H 2 and H t∞ control problems, IEEE Trans. Automat. Control, 34(1989), pp. 831–847.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Ravi, K.M. Nagpal, and P.P. Khargonekar, H control problem of linear time-varying systems: A state space approach, SIAM J. Control and Optimization, 29-6(1991), pp. 1394–1413.

    Article  MathSciNet  Google Scholar 

  3. B. Bamieh and J.B. Pearson, A generalized framework for linear periodic systems with application to H sampled-data control, IEEE Trans. Automat. Control, 37(1992), pp. 418–435.

    Article  MATH  MathSciNet  Google Scholar 

  4. W. Sun, K.M. Nagpal and P.P. Khargonekar, H control and filtering for sampled-data systems, IEEE Trans. Automat. Control, 38(1993), pp. 1162–1175

    Article  MATH  MathSciNet  Google Scholar 

  5. Y. Hayakawa, S. Hara, Y. Yamamoto, H type problem for sampled-data control systems—A solution via minimum energy characterization, IEEE Trans. Automat. Control, 38(1994), pp. 2278–2284.

    Article  MathSciNet  Google Scholar 

  6. M. Green, K. Glover, D. Limebeer, and J. Doyle, A J-spectral factorization approach to H control, SIAM J. Control Optim., 28 (1990), pp.1350–1371

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Kwakernaak: Robust control and H -optimization-Tutorial paper, Automatica, 29-2 (1993), pp.255–273

    Article  MathSciNet  Google Scholar 

  8. H. Kwakernaak: The polynomial approach to H -control, Lecture Notes in Mathematics 1496, Springer-Verlag (1990), pp.141–221

    Google Scholar 

  9. H.Kimura: Chain-scattering representation, J-lossless factorization and H control, Lecture Notes on Robust Control, Seaou National University, 1993

    Google Scholar 

  10. S. Hosoe: Solving H control problem by transfer functions, Lecture notes for SICE seminar (1991), pp.15–34 (in Japanese)

    Google Scholar 

  11. S.Hosoe: Derivation of H sampled data suboptimal controllers by making use of J-unitary operators, Proc. of the Seoul Workshop on Robust Control (1993), 183–195

    Google Scholar 

  12. S. Hosoe, and T. Kato: Derivation of H multirate sampled data suboptimal controllers by making use of J-unitary factorization, Proc. of American Control Conference (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Yutaka Yamamoto PhD Shinji Hara PhD

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag London Limited

About this paper

Cite this paper

Hosoe, S. (1999). A unified approach to H control by J-causal-anticausal factorization. In: Yamamoto, Y., Hara, S. (eds) Learning, control and hybrid systems. Lecture Notes in Control and Information Sciences, vol 241. Springer, London. https://doi.org/10.1007/BFb0109738

Download citation

  • DOI: https://doi.org/10.1007/BFb0109738

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-076-7

  • Online ISBN: 978-1-84628-533-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics