Abstract
In this article, the Runge–Kutta (RK)–Butcher algorithm is used to study the observer design of singular systems (transistor circuits) for time-invariant and time-varying cases. The obtained discrete solutions using the RK–Butcher algorithms are compared with STWS-I, STWS-II methods and with the exact solutions of the transistor circuit problems and are found to be very accurate. Stability analysis for the RK–Butcher algorithm is presented. Error graphs for time-invariant and time-varying cases are presented in a graphical form to show the efficiency of this method. This RK–Butcher algorithm can be easily implemented in a digital computer and the solution can be obtained for any length of time for this observer design of transistor circuit problem. On leave from NIT, Tiruchirappalli, India.
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