SICE Division Conference Program and Abstracts
SICE 2nd Annual Conference on Control Systems
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On System Immersibility into Quadratic-in-the-State Representations
Toshiyuki Ohtsuka
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Pages 59

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Abstract
This paper considers quadratic-in-the-state representations, which consist of state equations that are at most quadratic with respect to the states, as representations for a broad class of nonlinear systems. A necessary and sufficient condition is shown for existence of a quadratic-in-the-state representation that has the identical input-output relation with a given nonlinear, system. That condition is characterized by the algebraic structure of the observation space of the given system and is so mild that many types of nonlinear systems have a quadratic-in-the-state representation. The quadratic-in-the-state representation is expected to be useful as a general model structure in identification of unknown nonlinear systems.
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© 2002 SICE
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