STABILITY EVALUATION BASED ON THE SUSTAINABILITY TRIANGLE APPLICATION FOR TRANSFER FUNCTIONS ABOVE 2ND ORDER
Article Sidebar
Main Article Content
Abstract
This research subject represents the transfer function of a system above the second order. Research goal: to simplify the system stability assessment process for transfer functions higher than second order based on the stability triangle and inequations of the transfer functions coefficients’ acceptable values. Task: to simplify the system stability assessment; to investigate the characteristic equation and determine limiting inequations. Methods used: Jury stability criterion, the analytical method for stability determining the when graphical representation used on the stability triangle basis, the characteristic equation analytical solution, and mathematic modeling. The following results have been obtained: the maximum permissible coefficient values are found, as well as limiting inequations for the transfer function coefficients. Found are the correlation coefficients between the easily determined maximum theoretical values of these coefficients and their practical values, the correction coefficients’ functional dependences being obtained. Conclusions: based on the research done to estimate the coefficients’ boundaries for frequency-dependent components above the second order, necessary is to determine the characteristic equation coefficients maximum values multiplying them by the correction coefficients obtained at this research issue.
Article Details
References
Dorf, R.C. and Bishop, R.H. (2017), Modern Control Systems, Pearson Education Inc., ISBN-13: 978-0134407623, 831 p.
Tuzlukov, V. (2013), Signal Processing in Radar Systems, CRC Press, 596 p.
Popov, D.I. (2016), “The digital signal processing systems analysis”, Izvestija vysshikh ychebnykh zavedenij. Tekhnicheskie nayki, No 2, pp. 83-92.
Ukhina, A.V., Bilenko, A.A. and Sytnikov, V.S. (2016), “Improving the efficiency software and hardware complexes in NPP APCS”, Jadernaja i radiatsionnaja bezopasnostj, No 3, pp. 70-76.
Ljapun, D.A. (2016), “Investigation of a computer platform management system on a mobile object”, Naukovi pratsi. Serija: Komp’juterni tekhnologiji. Chornomorskyi nats. un. im. P. Mogily, No. 275, Vol. 287, pp. 62-68.
Zhengyou, He. (2016), Wavelet Analysis and Transient Signal Processing Applications for Power Systems, Chine Electric Power Press, 252 p.
Li, M., Duan, Y., Wang, Y. and Zhang, L. (2016), Time-Frequency Analysis Method in the Transient Power Quality Disturbance Analysis Application, Electronic Devices, No. 1, pp. 9-13.
Dzhigan, V.A. (2013), Adaptive signals filtering: theory and algorithms, Tekhnosfera, Moscow, 528 p.
Zhuravlev, A.Ju., Pavlov, A.V. and Zhurba, V.O. (2012), “The stability overall increasing technique and correction the transient processes quality direct indicators in digital control systems”, Kompressionnoe i energeticheskoe mashinostroenie, No. 1, pp. 36-40.
Astrom, K.J. and Witternmark, B. (1987), Computer controlled systems: Theory and design, Prentice-Hall.Inc, 480 p.
Sergienko, A.B. (2006), Digital signal processing, Piter, St. Petersburg, 751 p.
Bronshhtejn, I.N. and Semendjaev, K.A. (1980), Mathematics handbook, Nauka, Moscow, 976 p.
Sytnikov, V.S. and Stupen, P.V. (1999), “Checking the stability of digital filters by transfer function”, Trudy Odesjk. politech. un-ta, Odessa, No 1(7), pp. 160-162.