An application of Kharitonov's theorem to tolerance analysis of oscillatory circuits

摘要

This paper discusses two methods for the tolerance analysis of the frequencies of oscillation in oscillatory circuits. The first one evaluates an interval function during a search process while the second makes use of Kharitonov's Theorem and Kharitonov's Rectangles. The rectangles defined by the theorem not only helps in the visualization of the analytical process hut also simplifies the search of frequencies to the evaluation of functions with real coefficients. A simple work example of the Colpitts oscillator is also included near the end.