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A Linear-Time-Varying Approach for Exact Identification of Bilinear Discrete-Time Systems by Interaction Matrices

Francesco Vicario; Minh Q. Phan; Richard W. Longman; Raimondo Betti

Title:
A Linear-Time-Varying Approach for Exact Identification of Bilinear Discrete-Time Systems by Interaction Matrices
Author(s):
Vicario, Francesco
Phan, Minh Q.
Longman, Richard W.
Betti, Raimondo
Date:
Type:
Conference posters
Department(s):
Mechanical Engineering
Persistent URL:
Book/Journal Title:
Astrodynamics 2013: proceedings of the AAS/AIAA Astrodynamics Specialist Conference
Book Author:
Broschart, Stephen B.
Turner, James D.
Howell, Kathleen C.
Hoots, Felix R.
Publisher:
Univelt
Publisher Location:
Hilton Head, SC
Abstract:
Bilinear systems offer a promising approach for nonlinear control because a broad class of nonlinear problems can be reformulated in bilinear form. In this paper system identification is shown to be a technique to obtain such a bilinear approximation of a nonlinear system. Recent discrete-time bilinear model identification methods rely on Input-Output-to-State Representations. These IOSRs are exact only for a certain class of bilinear systems, and they are also limited by high dimensionality and explicit bounds on the input magnitude. This paper offers new IOSRs where the bilinear system is treated as a linear time-varying system through the use of specialized input signals. All the mentioned limitations are overcome by the new approach, leading to more accurate and less computationally demanding identification methods for bilinear discrete-time models, which are also shown via examples to be applicable to the identification of bilinear models approximating more general nonlinear systems.
Subject(s):
Bilinear forms
Discrete-time systems--Mathematical models
Matrices
Astrodynamics
Mechanical engineering
Mathematics
Astrophysics
Item views
118
Metadata:
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Suggested Citation:
Francesco Vicario, Minh Q. Phan, Richard W. Longman, Raimondo Betti, , A Linear-Time-Varying Approach for Exact Identification of Bilinear Discrete-Time Systems by Interaction Matrices, Columbia University Academic Commons, .

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