Minimum Number of Controls for Full Controllability of Linear Time-Invariant Systems

J. O. Escobedo; V. Nosov; J. A. Meda

doi:10.1109/TLA.2016.7795813

Minimum Number of Controls for Full Controllability of Linear Time-Invariant Systems

J. O. Escobedo, V. Nosov, J. A. Meda

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

For linear stationary system a new controllability analysis technique is introduced. This concept is closely related to determination of minimum number of independent controls necessary for complete controllability. This process consist in transforming the original system into Frobenius normal form. We show that there are no fewer controls that achieve full controllability of the system. Furthermore, the Frobenius normal form is presented as a mathematical advantage in the design of control matrices for underactuated systems.

Original language	English
Article number	7795813
Pages (from-to)	4448-4453
Number of pages	6
Journal	IEEE Latin America Transactions
Volume	14
Issue number	11
DOIs	https://doi.org/10.1109/TLA.2016.7795813
State	Published - Nov 2016

Keywords

Controllability
Frobenius normal form
Jordan normal form
fault tolerance
linear control systems
underactuated control systems

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10.1109/TLA.2016.7795813

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abstract = "For linear stationary system a new controllability analysis technique is introduced. This concept is closely related to determination of minimum number of independent controls necessary for complete controllability. This process consist in transforming the original system into Frobenius normal form. We show that there are no fewer controls that achieve full controllability of the system. Furthermore, the Frobenius normal form is presented as a mathematical advantage in the design of control matrices for underactuated systems.",

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AU - Nosov, V.

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KW - Controllability

KW - Frobenius normal form

KW - Jordan normal form

KW - fault tolerance

KW - linear control systems

KW - underactuated control systems

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Minimum Number of Controls for Full Controllability of Linear Time-Invariant Systems

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Keywords

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