ON EXOSUBSETS AND INTERNAL MODELS.

Michael K. Sain

doi:10.1109/cdc.1978.268095

ON EXOSUBSETS AND INTERNAL MODELS.

Michael K. Sain^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Conference article › peer-review

Abstract

Discrete-time dynamical systems defined on input, state, and output sets which do not admit binary operations have been studied with regard to the regulator problem of feedback control theory. An examination is made of the possibility of directly constructing the exosubset from elementary dynamical descriptions of plant, exosystem, and controller, with the aid of quotient set representation of exosystem states. The construction indicates that exosubset existence is a non-trivial question, and brings out the importance of product versus coproduct state descriptions for the regulator.

Original language	English
Pages (from-to)	1069-1073
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1978.268095
State	Published - 1978

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.1978.268095

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abstract = "Discrete-time dynamical systems defined on input, state, and output sets which do not admit binary operations have been studied with regard to the regulator problem of feedback control theory. An examination is made of the possibility of directly constructing the exosubset from elementary dynamical descriptions of plant, exosystem, and controller, with the aid of quotient set representation of exosystem states. The construction indicates that exosubset existence is a non-trivial question, and brings out the importance of product versus coproduct state descriptions for the regulator.",

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year = "1978",

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AB - Discrete-time dynamical systems defined on input, state, and output sets which do not admit binary operations have been studied with regard to the regulator problem of feedback control theory. An examination is made of the possibility of directly constructing the exosubset from elementary dynamical descriptions of plant, exosystem, and controller, with the aid of quotient set representation of exosystem states. The construction indicates that exosubset existence is a non-trivial question, and brings out the importance of product versus coproduct state descriptions for the regulator.

UR - https://www.scopus.com/pages/publications/0018053613

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DO - 10.1109/cdc.1978.268095

M3 - Conference article

AN - SCOPUS:0018053613

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

ON EXOSUBSETS AND INTERNAL MODELS.

Abstract

ASJC Scopus subject areas

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