Abstract
In this chapter, the bilinear control strategy for paper machines is discussed based on the characteristics of paper-making process. The bilinear decoupling control, bilinear observer and bilinear optimal control as the typical techniques are discussed. Their applications to the headbox section and drying section of a paper machine, axe presented. Digital simulation and on-site implementation results show that the performance of the bilinear control system is satisfactory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Banks S.P. and Yew M.K. On the optimal control of bilinear systems and its relation to Lie algebras. Int. J. Control 1986; 43(:891–900
Bruni C., Dipillo G. and Koch G. Bilinear systems: an appealing class of “nearly linear” systems in theory and applications. IEEE Tans. Autom. Contr. 1974; AC-19:334–348
Derese I. and Noldus E. Optimization of bilinear control systems. Int. J. Systems Sci. 1982; 13: 237–246
Derese I., Stevens P. and Noldus E. Observers for bilinear systems with bounded input. Int. J. Systems Science 1979; 10 (6): 649–668
Freund E. The structure of decoupled nonlinear system. Int. J. Control 1975; 21: 443–450
Freund E. Decoupling and pole assignment in nonlinear systems. Electronics Letters 1973; 9: 373–375
Funahashi Y. A class of state observers for bilinear systems. Int. J. Systems Sci. 1978; 9: 1199–1205
Hara S. and Furuta K. Minimal order state observers for bilinear systems. Int. J. Control 1976; 24: 705–718
Hsu C.S. and Karanam V.R. Observer design of bilinear systems. J. of Dyn. Syst. Meas. and Contr. 1983; 105: 206–208
Isidori A. Nonlinear Control Systems: An Introduction. Springer-Verlag, New York, 1985
Isidor A., Krener A.J., Gori Giorgi C. and Monaco S. Nonlinear decoupling via feedback: A differential geometric approach. IEEE Trans. Autom. Contr. 1981; AC-26:331–345
Jacobson D.H. Extension of linear-quadratic control optimization and matrix theory. Academic Press, San Francisco, 1977
Li C.W. and Feng Y.K. Decoupling theory of general multivariable analytic non-linear systems. Int. J. Control 1987; 45: 1147–1160
Maghsoodi Y. Design and computation of near-optimal stable observers for bilinear systems. IEEE Proceedings 1989; 136: 127–132
Mohler R.R. Bilinear Control Processes. Academic Press New York and London, 1973
Mohler R.R. and Kolodziej W.J. An overview of bilinear system theory and applications. IEEE Trans. Syst. Man and Cyb. 1980; 10: 683–689
Mohler R.R. Nonlinear system - Applications to bilinear control. Prentice Hall, Englewood Cliffs, 1991
Nazar S. and Rekasius Z.V. Decoupling of a class of nonlinear system. IEEE Trans. Autom. Contr. 1971; AC-16:257–260
Nijmeijer H. and Van der Schaft A.J. Nonlinear dynamical control systems. Springer-Verlag, New York, 1990
Rao R., Ying Y. and Corbin J. Intelligent engineering approach to pulp and paper process control. Proceeding of CPPA, Montreal, Canada, 1991, pp A195–A199
Ryan E.P. Optimal feedback control of bilinear systems. J. of Optimization Theory and Applications 1984; 44: 333–362
Sinha P.K. State feedback decoupling of nonlinear system. IEEE Trans. Autom. Contr. 1977; AC-22:487–489
Sinha P.K. Multivariable control - An introduction. Marcel Dekker Inc., New York and Basel, 1984
Tzafestas S.G., Angnostou K.E. and Pimenides T.G. Stabilizing optimal control of bilinear system with a generalized cost. Optimal Control Appl. and Methods 1984; 5: 111–117
Ying Y., Rao M. and Sun Y. State-disturbance composite observer for bilinear systems. Proc. of American Control Conference, San Diego, CA, 1990, pp 1917–20
Ying Y., Rao M. and Sun Y. Bilinear control strategy for paper-making process. Chemical Engineering Communications 1992; VIII: 13–28
Ying Y., Rao M. and Sun Y. Bilinear state-disturbance composite observer and its application. Int. J. Systems Sci. 1991; 22: 2489–2498
Ying Y., Rao M. and Sun Y. A new design method for bilinear suboptimal systems. Proc of American Control Conference, Boston, Massachusetts, 1991, pp 1820–1822
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag London Limited
About this chapter
Cite this chapter
Rao, M., Xia, Q., Ying, Y. (1994). Bilinear Control. In: Modeling and Advanced Control for Process Industries. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2094-0_5
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2094-0_5
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2096-4
Online ISBN: 978-1-4471-2094-0
eBook Packages: Springer Book Archive