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On sensitivity minimization for linear control system

  • Optimal Control: Ordinary And Delay Differential Equations
  • Conference paper
  • First Online:
Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

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Abstract

A linear control system

is considered.

$$x(t){\mathbf{ }} \in {\mathbf{ }}R^n {\mathbf{ }}u(t){\mathbf{ }} \in {\mathbf{ }}R^m {\mathbf{ }}y(t){\mathbf{ }} \in {\mathbf{ }}R^p {\mathbf{ }}r{\mathbf{ }} \in \Omega \subset {\mathbf{ }}R^q$$

The goal is to find a feedback

$$x(t){\mathbf{ }} \in {\mathbf{ }}R^n {\mathbf{ }}u(t){\mathbf{ }} \in {\mathbf{ }}R^m {\mathbf{ }}y(t){\mathbf{ }} \in {\mathbf{ }}R^p {\mathbf{ }}r{\mathbf{ }} \in \Omega \subset {\mathbf{ }}R^q$$

such that appropriately defined sensitivity of system

,

is minimal. A theorem on the existence of least sensitive feedback is presented and computational algorithms are considered.

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5. References

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  7. Demianov, W.F., Maloziemov, W.N. “Introduction to minimax”, Izd. Nauka, Moscov 1972, (in Russian)

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Author information

Authors and Affiliations

  1. Politechnika Warszawska, Instytut Automatyki, 00-665, Warszawa

    Andrzej W. Olbrot & Andrzej Sikora

Authors
  1. Andrzej W. Olbrot
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  2. Andrzej Sikora
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Editor information

K. Iracki K. Malanowski S. Walukiewicz

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© 1980 Springer-Verlag

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Olbrot, A.W., Sikora, A. (1980). On sensitivity minimization for linear control system. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036411

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  • DOI: https://doi.org/10.1007/BFb0036411

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

  • eBook Packages: Springer Book Archive

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