Abstract
This chapter provides a method for computing the peak output of a scalar proper rational transfer function, when the possible input set is defined by separate 2-norm bounds on the inputs and their rates of change. The notion of an approximately worst input is considered. A wind-gust/wind-turbine environment/system couple is used to illustrate the use of the method to test matching conditions.
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References
Boyd, S.P. and Barratt, C.H. (1991). Linear Controller Design: Limits of Performance, Prentice-Hall, Englewood Cliffs, NJ.
Doyle, J.C., Francis, B.A. and Tannenbaum, A.R. (1992). Feedback Control Theory, Macmillan, New York, NY.
Lane, P.G. (1995). The principle of matching: a necessary and sufficient condition for inputs restricted in magnitude and rate of change, International Journal of Control, 62(4):893–915.
Mattson, S.E. (1984). Modelling and control of large horizontal axis wind power plant, PhD thesis, Lund University.
Rockafellar, R.T. (1970). Convex Analysis, Princeton University Press, Princeton, NJ.
The MathWorks, Inc (1998). Control System Toolbox User’s Guide Version 4, The MathWorks, Natick, MA.
Zakian, V. (1989). Critical systems and tolerable inputs, International Journal of Control, 49(4):1285–1289.
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© 2005 Springer-Verlag London Limited
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Lane, P.G. (2005). Matching Conditions for Transient Inputs. In: Zakian, V. (eds) Control Systems Design. Springer, London. https://doi.org/10.1007/1-84628-215-2_2
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DOI: https://doi.org/10.1007/1-84628-215-2_2
Publisher Name: Springer, London
Print ISBN: 978-1-85233-913-5
Online ISBN: 978-1-84628-215-7
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