Linear state representations for identification of bilinear discrete-time models by interaction matrices |
| |
Authors: | Francesco Vicario Minh Q Phan Raimondo Betti Richard W Longman |
| |
Institution: | 1. Department of Mechanical Engineering, Columbia University, New York, NY?, 10027, USA 2. Thayer School of Engineering, Dartmouth College, Hanover, NH?, 03755, USA 3. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY?, 10027, USA
|
| |
Abstract: | Bilinear systems can be viewed as a bridge between linear and nonlinear systems, providing a promising approach to handle various nonlinear identification and control problems. This paper provides a formal justification for the extension of interaction matrices to bilinear systems and uses them to express the bilinear state as a linear function of input–output data. Multiple representations of this kind are derived, making it possible to develop an intersection subspace algorithm for the identification of discrete-time bilinear models. The technique first recovers the bilinear state by intersecting two vector spaces that are defined solely in terms of input–output data. The new input–output-to-state relationships are also used to extend the equivalent linear model method for bilinear system identification. Among the benefits of the proposed approach, it does not require data from multiple experiments, and it does not impose specific restrictions on the form of input excitation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|