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Cited by 225

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The output control of linear time-invariant multivariable systems with unmeasurable arbitrary disturbances

Davison, E.·1972·IEEE Transactions on Automatic Control
DOI 10.1109/tac.1972.1100084
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Abstract

Necessary and sufficient conditions are derived for a minimal order linear time-invariant differential feedback control system to exist for a linear time-invariant multivariable system with unmeasurable arbitrary disturbances of a given class occurring in it, such that the outputs of the system asymptotically become equal to preassigned functions of a given class of outputs, independent of the disturbances occurring in the system, and such that the closed-loop system is controllable. The feedback gains of the control system are obtained so that the dynamic behavior of the closed-loop system is specified by using either an integral quadratic optimal control approach or a pole assignment approach. The result may be interpreted as being a generalization of the single-input, single-output servomechanism problem to multivariable systems or as being a solution to the asymptotic decoupling problem.

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Metadata

Authors
Davison, E.
Venue
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
1972-10
Volume
17
Issue
5
Pages
621-630
ISSN
0018-9286 (ISSN-L)
DOI
10.1109/tac.1972.1100084
OpenAlex
W1999923748
Cited by
225
References
0
FWCI
22.41
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The output control of linear time-invariant multivariable systems with unmeasurable arbitrary disturbances. https://app.cochat.ai/papers/10.1109/tac.1972.1100084
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Davison, E. (1972). The output control of linear time-invariant multivariable systems with unmeasurable arbitrary disturbances. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1972.1100084

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.