Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators | Zendy

J.P. Dada | Zendy; Jean Chamberlain Chedjou | Zendy; S. Domngang | Zendy

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Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators

Author(s) -

J.P. Dada,

Jean Chamberlain Chedjou,

S. Domngang

Publication year - 2008

Publication title -

active and passive electronic components

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.144

H-Index - 22

eISSN - 1026-7034

pISSN - 0882-7516

DOI - 10.1155/2008/539618

Subject(s) - amplitude , limit (mathematics) , waveform , electrical impedance , control theory (sociology) , physics , voltage , phase (matter) , limit cycle , electronic circuit , stability (learning theory) , mathematics , mathematical analysis , control (management) , quantum mechanics , computer science , artificial intelligence , machine learning

We show a technique for external direct current (DC) control of the amplitudes of limit cycles both in the Phase-shift and Twin-T oscillators. We have found that amplitudes of the oscillator output voltage depend on the DC control voltage. By varying the total impedance of each oscillator oscillatory network, frequencies of oscillations are controlled using potentiometers. The main advantage of the proposed circuits is that both the amplitude and frequency of the waveforms generated can be independently controlled. Analytical, numerical, and experimental methods are used to determine the boundaries of the states of the oscillators. Equilibrium points, stable limit cycles, and divergent states are found. Analytical results are compared with the numerical and experimental solutions, and a good agreement is obtained

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