Abstract
A novel method is presented for identification of a generalized bilinear system with nonlinear terms consisting of the product of the state vector and the coupling force variables. The identification process requires a series of pulse response experiments from input values of various pulse duration for coupling force variables. It also requires experiments with multiple inputs rather than one single input at a time. The resulting identified system matrices represent the input–output map of the generalized bilinear system. A simple example is given to illustrate the concept of the identification method.
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References
Bruni, C., DiPillo, G., and Koch, G., On the Mathematical Models of Bilinear Systems, Ricerche Di Automatica, 2 (1), 1971, pp. 11–26.
Bruni, C., DiPillo, G., and Koch, G., Bilinear Systems: An Appealing Class of Nearly Linear Systems in Theory and Application, IEEE Transaction Automatic Control, AC-19, 1974, pp. 334–348.
Mohler, R. R., and Kolodziej, W. J., An Overview of Bilinear System Theory and Applications, IEEE Transactions on Systems, Man and Cybernetics, SMC-10, 1980, pp. 683–688.
Mohler, R. R., Nonlinear Systems: Vol. II, Applications to Bilinear Control, Prentice-Hall, New Jersey, 1991.
Elliott, D. L., Bilinear Systems, in Encyclopedia of Electrical Engineering, Vol. II John Webster (ed.), John Wiley and Sons, New York, 1999, pp. 308–323.
Juang, J.-N., Continuous-Time Bilinear System Identification, Nonlinear Dynamics, Kluwer Academic Publishers, Special Issue 39(1-2), (January I-II 2005), pp. 79–94
Sontag, E.D., Wang, Y., Megretski, A., Input Classes for Identification of Bilinear Systems, 2007 American Control Conference, July 11–13, 2007, Marriott Marquis Hotel at Time Square, New York, USA, Paper FrA04.3.
Juang, J.-N., Generalized Bilinear System Identification, The Journal of the Astronautical Sciences, Vol. 57, Nos. 1 & 2, January-June 2009, pp. 261–273.
Juang, J.-N., Applied System Identification, Prentice Hall, New Jersey, 1994.
Juang, J-N. and Phan, M. Q., Identification and Control of Mechanical Systems, Cambridge University Press, New York, 2001.
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Juang, JN. (2012). Generalized Bilinear System Identification with Coupling Force Variables. In: Bock, H., Hoang, X., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25707-0_14
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DOI: https://doi.org/10.1007/978-3-642-25707-0_14
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