Authors: Hans-Theo DoriBen, Helmut Schwarz
Addresses: Department of Measurement and Control, Faculty of Mechanical Engineering, University of Duisburg, Duisburg, West Germany. ' Department of Measurement and Control, Faculty of Mechanical Engineering, University of Duisburg, Duisburg, West Germany
Abstract: The problem of realisation and parameter identification of bilinear systems from recorded input/output data is discussed. First, a brief review of the existing results in realisation theory is given. Then standard results from linear systems theory, such as the Markov parameter representation, Hankel matrices, the algebraic input/output model and the equivalent discrete-time system are transferred to bilinear systems theory. Finally, the advantage of applying computing to the identification problem is outlined and demonstrated for a suitable model of a hydraulic drive.
Keywords: bilinear systems; Markov parameters; realisation theory; Hankel matrix; Toplitz matrix; continuous discrete-time systems; equivalent discrete-time systems; system identification.
International Journal of Computer Applications in Technology, 1989 Vol.2 No.4, pp.219 - 227
Published online: 11 Jun 2014 *Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article