To Determine a Desired Characteristic Equation for Ramp Input Signal
Subject Areas : electrical and computer engineering
Mohammad
Haeri
1
M. S.
Tavazoei
2
Keywords: Closed loop responsecharacteristic equationramp inputBessel-Thompson filter,
Abstract :
Based on Bessel-Thompson filter design method, a new procedure is introduced to determine a desired closed loop characteristic equation for the step input signal. The transient and steady state responses of the calculated system are similar to those of the CDM (Coefficient Diagram Method) controller. Using some properties from Laplace transform, the characteristic equation is then employed to obtain a new closed loop transfer function which results in appropriate response for the ramp input signal. To evaluate the newly defined closed loop transfer function, a RST output feedback controller is designed and simulated.
[1] P. Dorato, Analytic Feedback System Design: Interpolation Approach, Pacific Grove, CA: Books Cole, 2000.
[2] S. P. Bhattacharyya, H. Chapellat, and L. H. Keel, Robust Control: The Parametric Approach, Prentice-Hall, NJ: Upper Saddle River, 1995.
[3] J. Ackermann, Robust Control: Systems with Uncertain Physical Parameters, Springer-Verlag, New York, 1993.
[4] S. Jayasuriya and J. W. Song, "On the synthesis of compensators for non overshooting step response," in Proc. Amer. Control Conf., pp. 683-684, 1992.
[5] A. S. Hauksdottir, "Analytic expression of transfer function responses and choice of numerator coefficients (zeros)," IEEE Trans. Automat. Contr., vol. 41, no. 10, pp. 1482-1488, Oct. 1996.
[6] M. S. Tavazoei and M. Haeri, "Comparison of the existing methods in determination of the characteristic polynomial," in Proc. ARAS Conf., pp. 130-133, Istanbul, Turkey, 2005.
[7] P. Naslin, Essentials of Optimal Control, Boston Technical, MA: Boston, 1969.
[8] H. Chestnut and R. W. Mayer, Servomechanisms and Regulating System Design, vol. I, John Wiley, New York, 1959.
[9] L. P. Huelsman, Active and Passive Analog Filter Design, McGraw-Hill, 1993.
[10] S. Winder, Analog and Digital Filter Design, 2nd Ed., Newnes, 2002.
[11] H. L. Krall and O. Fink, "A New class of orthogonal polynomials: the Bessel polynomials," Trans. Amer. Math Soc., vol. 65, pp. 100-115, 1949.
[12] S. Manabe, "Brief tutorial and survey of coefficient diagram method," in Proc 4th Asian Control Conf., Singapore, pp. 100-115, 2002.
[13] M. Haeri and M. S. Tavazoei, "To determine the characteristic polynomial coefficients based on the transient response," in Proc ICCAS Conf., pp. 11-15, South Korea, 2005.
[14] Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya, "Transient response control via characteristic ratio assignment," IEEE Trans. Automat. Contr., vol. 48, no. 12, pp. 2238-2244, Dec. 2003.
[15] K. J. Astrom and B. Wittenmark, Adaptive Control, 2nd ed., Addison-Wesley, MA: Reading, 1994.
[16] R. C. Dorf and R. H. Bishop, Modern Control Systems, 7th ed. Addison Wesley Longman, CA: Menlo Park, 1995.