A new method is suggested to handle partial fraction expansion in the presence of a single high order pole, by using polynomial division and partial fraction expansion with simple poles only, to simplify the process of repeated differentiation of a rational function.
ChengD. K., Analysis of Linear Systems (Addison-Wesley, Reading, MA, 1959).
2.
FranklinG. F.PowellJ. D.Emami-NaeiniA., Feedback Control of Dynamic Systems, 4th edn (Prentice Hall, New Jersey, 2002).
3.
PowerH. M., Useful relations for partial expansion of proper rational functions and transition matrices', IEE Trans Educ., E-10 (1967), 179–180.
4.
PowerH. M.SimpsonR. J., Introduction to Dynamics and Control, (McGraw-Hill, Maidenhead, 1978).
5.
CoganB.de PaorA., ‘Optimum stability and minimum complexity as desiderata in feedback control system design’, in: Proc. IFAC Conference Control System Design, Bratislava, Slovakia, June 2000, pp. 51–53.
6.
O'MahonyT.DowningC. J., ‘Computer-aided control system design – goldmine or minefield?’, in: Proc. Irish Signals and Systems Conference, Dublin, Ireland, June 2000, pp. 450–457.