Comparison of the Existing Methods in Determination of the Characteristic Polynomial
This paper presents comparison among methods of
determination of the characteristic polynomial coefficients. First, the
resultant systems from the methods are compared based on frequency
criteria such as the closed loop bandwidth, gain and phase margins.
Then the step responses of the resultant systems are compared on the
basis of the transient behavior criteria including overshoot, rise time,
settling time and error (via IAE, ITAE, ISE and ITSE integral
indices). Also relative stability of the systems is compared together.
Finally the best choices in regards to the above diverse criteria are
presented.
[1] F. H. Imlay, "A Theoretical Study of Lateral Stability with an Automatic
Pilot", NACA, TR 693, Washington, 1940.
[2] D. Graham and R.C. Lathrop, "The synthesis of "optimum" transient
response: criteria and standard forms", AIEE Transactions, vol. 72, pt.
II, pp. 273-288, 1953.
[3] C. Kessler, "Ein Beitrag zur Theorie Mehrschleifiger Regulungen",
Regelungst., vol. 8, no. 8, pp. 261-266, 1960.
[4] S. Manabe, "Coefficient Diagram Method", 14th IFAC Symposium on
Automatic Control in Aerospace, Seoul, 1998.
[5] P. Naslin, Essentials of Optimal Control, Boston Technical, Boston,
MA, 1969.
[6] Y. C. Kim, L.H. Keel and S. P. Bhattacharyya, Transient Response
Control via Characteristic Ratio Assignment, IEEE Transactions on
Automatic Control, 2003, vol. 48, no. 12, pp. 2238-2244.
[7] S. Winder, Analog and Digital Filter Design, 2nd Ed., Newnes, 2002.
[8] S. Manabe, "Brief Tutorial and Survey of Coefficient Diagram Method",
4th Asian Control Conference, Singapore, 2002.
[1] F. H. Imlay, "A Theoretical Study of Lateral Stability with an Automatic
Pilot", NACA, TR 693, Washington, 1940.
[2] D. Graham and R.C. Lathrop, "The synthesis of "optimum" transient
response: criteria and standard forms", AIEE Transactions, vol. 72, pt.
II, pp. 273-288, 1953.
[3] C. Kessler, "Ein Beitrag zur Theorie Mehrschleifiger Regulungen",
Regelungst., vol. 8, no. 8, pp. 261-266, 1960.
[4] S. Manabe, "Coefficient Diagram Method", 14th IFAC Symposium on
Automatic Control in Aerospace, Seoul, 1998.
[5] P. Naslin, Essentials of Optimal Control, Boston Technical, Boston,
MA, 1969.
[6] Y. C. Kim, L.H. Keel and S. P. Bhattacharyya, Transient Response
Control via Characteristic Ratio Assignment, IEEE Transactions on
Automatic Control, 2003, vol. 48, no. 12, pp. 2238-2244.
[7] S. Winder, Analog and Digital Filter Design, 2nd Ed., Newnes, 2002.
[8] S. Manabe, "Brief Tutorial and Survey of Coefficient Diagram Method",
4th Asian Control Conference, Singapore, 2002.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64671", author = "Mohammad Saleh Tavazoei and Mohammad Haeri", title = "Comparison of the Existing Methods in Determination of the Characteristic Polynomial", abstract = "This paper presents comparison among methods of
determination of the characteristic polynomial coefficients. First, the
resultant systems from the methods are compared based on frequency
criteria such as the closed loop bandwidth, gain and phase margins.
Then the step responses of the resultant systems are compared on the
basis of the transient behavior criteria including overshoot, rise time,
settling time and error (via IAE, ITAE, ISE and ITSE integral
indices). Also relative stability of the systems is compared together.
Finally the best choices in regards to the above diverse criteria are
presented.", keywords = "Characteristic Polynomial, Transient Response,
Filters, Stability.", volume = "1", number = "6", pages = "935-4", }