The Discrete-Time Problem With Imperfect State Measurements

Başar, Tamer; Bernhard, Pierre

doi:10.1007/978-1-4899-3561-8_6

Tamer Başar³⁶ &
Pierre Bernhard³⁷

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

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Abstract

We study in this chapter the discrete-time counterpart of the problem of Chapter 5; said another way, the problem of Chapter 3, but with the measured output affected by disturbance:

$$ {x_k} + 1 = {A_k}{x_k} + {B_k}{u_k} + {D_k}{w_k}, $$

(6.1)

$${y_k} = {C_k}{x_k} + {E_k}{w_k}.$$

(6.2)

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Authors and Affiliations

Coordinated Science Laboratory, University of Illinois, 61801, Urbana, Illinois, USA
Tamer Başar
Inria, Unité de Recherche Sophia-Antipolis, Valbone Cedex, France
Pierre Bernhard

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Tamer Başar
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Pierre Bernhard
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Başar, T., Bernhard, P. (1991). The Discrete-Time Problem With Imperfect State Measurements. In: H^∞-Optimal Control and Related. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-3561-8_6

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DOI: https://doi.org/10.1007/978-1-4899-3561-8_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4899-3563-2
Online ISBN: 978-1-4899-3561-8
eBook Packages: Springer Book Archive

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