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Part of the book series: Communications and Control Engineering ((CCE))

Abstract

The ∞ general disturbance rejection problem can be stated as follows: Find a stabilizing controller K that minimizes:

$$ _{\parallel w\parallel \infty \leqslant 1}^{\sup \parallel z\parallel \infty } $$
((8.1))

where z is the regulated variable and w is the disturbance input.

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References

  1. A. E. Barabanov, and A. A. Sokolov, “Geometrical Solution to 1-optimization Problem with Combined Conditions”. In Proc. Asian Control Conference, vol. 3, pp. 331–334. Tokyo Japan, 1994.

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© 1999 Springer-Verlag London Limited

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Bamieh, B., Dahleh, M.A. (1999). Open problems in 1 optimal control. In: Blondel, V., Sontag, E.D., Vidyasagar, M., Willems, J.C. (eds) Open Problems in Mathematical Systems and Control Theory. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0807-8_8

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  • DOI: https://doi.org/10.1007/978-1-4471-0807-8_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1207-5

  • Online ISBN: 978-1-4471-0807-8

  • eBook Packages: Springer Book Archive

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