Stability analysis of nonlinear a fourth order PLL with Butterworth lowpass filter

• Autorzy: Kiełtyka G. , Walczak J.
• Konferencja: Computer Applications in Electrical Engineering 2009 [Poznan, 20-22 April, 2009
• Języki publikacji: EN

Abstrakty

EN

The paper presents continuation of work [14]. In the paper a stability analysis of nonlinear analog phase-locked loop with the fourth order Butterworth lowpass filter has been made. The stability analysis of the loop has been done using the first Lyapunov method. Presented results were illustrated by example.

Słowa kluczowe

EN

stability analysis; phase-locked loop; PLL; Butterworth filter

PL

analiza stabilności; pętla fazowa; filtr Butterwortha

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2010
• Tom: No. 61
• Strony: 35--42
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kiełtyka G.

autor

Walczak J.

• Technical School in Bytom

Bibliografia

• [1] Abramovitch D.Y.: Analysis and design of a third order phase-lock loop, Military Comm. Conf., MILCOM 88, New York, Vol.2,23-26 Oct. 1988, pp.55 - 459.
• [2] Best R.: Phase-locked loops, McGraw Hill New York, 1984.
• [3] Gutowski R.: Ordinary differential equations, WNT Warszawa (in Polish).
• [4] Hayashi C.: Nonlinear oscillations in physical systems, McGraw-Hill 1964 (in Polish).
• [5] Jeżewski M., Szkudliński W.: Synchronized generators and its applications, WNT Warszawa 1981 (in Polish).
• [6] Kudrewicz J.: Dynamic of the phase loop, WNT Warszawa, 1991 r. (in Polish).
• [7] Minorski N.: Nonlinear oscillations, PWN Warszawa, 1967 r. (in Polish).
• [8] Nemycki W.W., Stiepanow W.W.: Qualitative theory of differential equations, Moskwa, 1947 r. (in Russian).
• [9] Shakhguildyan V.V., Sviridenko S.S.: Phase synchronization system study, IEEE Trans, on Comm., Vol.COM-30, No.10, Oct.1982, pp.2260 -2263.
• [10] Stensby J. L.: Phase locked loops. Theory and applications, CRC Press New York, 1997, pp. 1231 - 156.
• [11] La Salle J., Lefschetz S.: Stability by Liapunov’s direct method with applications, PWN Warszawa, 1966 r (in Polish).
• [12] Struble R.A.: Nonlinear differential equations, PWN Warszawa, 1965 (in Polish).
• [13] Walczak J., Kiełtyka G.: Stability analysis of nonlinear third order phase-locked loop, Monografia ZkwE, Poznań 2008, pp.22 - 34.
• [14] Kiełtyka G., Walczak J.: Asymptotical stability analysis of nonlinear third order PLL with Tschebyshev lowpass filter, Materiały XIII ZkwE, Poznań 2009, pp.33 - 34.