Now showing items 1-10 of 47
Comment on Homographic transformation for the simplification of continuous-time transfer functions by Pade approximation
(Taylor & Francis, 1984)
It is shown that the homographic transformation method for reducing the order of linear, time-invariant systems produces the same models as the ordinary Pad approximation method about 8 = 0, contrary to what was previously ...
Scaled impulse energy approximation for model reduction
(Institute of Electrical and Electronics Engineers, 1988-08)
It is shown that the impulse energy approximation technique for model reduction can be improved by scaling in the frequency domain. The method remains simple to use and retains the stability property of impulse energy ...
Some further observations on the differentiation method of modal reduction
(Institute of Electrical and Electronics Engineers, 1992-09)
The differentiation method of model reduction is shown to be equivalent to forming successive ratios of multipoint Taylor polynomial approximation of the numerator and denominator of the transfer function, respectively. ...
Linear system reduction by the modified factor division method
(Institution of Engineering and Technology, 1986-11)
A novel method of linear system simplification is presented based on a modified factor division approach. It is seen to be more flexible than most model reduction methods in that families of reduced models may be easily ...
Stable reduced-order models for discrete-time systems
(Institution of Engineering and Technology, 1987-01)
Further discussion on impulse energy approximation
(Institute of Electrical and Electronics Engineers, 1987-02)
Recent criticisms by Rao about impulse energy approximation are answered in detail. Further ideas are put forward as to how weighted energy parameters may be used to determine the reduced models for step inputs.
Factor division: a useful algorithm in model reduction
(Institution of Engineering and Technology, 1983-11)
An alternative approach is given for linear-system reduction by Pade approximation to allow retention of dominant modes. It avoids calculation of system time moments and the solution of Pade equations by simply dividing ...
New results on relationships between multipoint Pade approximation and stability preserving methods in model reduction
(Taylor & Francis, 1989)
Three well-known stability preserving methods of reduction are shown to be special forms of the multipoint pade approximation. Two of the methods—the modified forms of the Schwarz approximation and the stability equation ...
Modelling an athletics track
(Oxford University Press, 1991)
When introducing students to mathematical modelling ideas it is often useful to have them tackle a fairly "well-defined" problem, possibly related to an outside interest, involving the use of traditional mathematical ...
Frequency-domain reduction of linear systems using Schwarz approximation
(Taylor & Francis, 1983)
A frequency domain approach for reducing linear, time-invariant systems is presented which produces stable approximations of stable systems. The method is based upon the Schwarz canonical form and is shown to have a ...