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Superspace and Subspace Identification of Bilinear Models by Discrete-Level Inputs

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

When excited by an input consisting of a number of discrete levels, a bilinear system becomes a linear time-varying system whose dynamics switches from one linear subsystem to another depending on the input level. This paper describes an identification method that uses the concept of a superstate of a linear switching system as a superstate of the bilinear system. In a superspace method, these superstates are used directly to identify a bilinear system model. In a subspace method, two or more superstate representations are intersected to find a reduced dimension subspace prior to identification of a bilinear model.


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Academic Units
Mechanical Engineering
Published Here
January 5, 2016


This work was presented at the 2015 AAS/AIAA Astrodynamics Specialist Conference, Vail, CO, August 2015. The paper (identified as paper AAS 15-559) will be published as part of the conference proceedings in the Advances in the Astronautical Sciences (published by Univelt).