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 fo...Show MoreMetadata
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.
Date of Conference: 08-10 May 2002
Date Added to IEEE Xplore: 07 November 2002
Print ISBN:0-7803-7298-0
Print ISSN: 0743-1619