Observer design of time-varying Singular Systems (Transistor Circuits) Using Adomian Decomposition Method

An interesting and real world problem is discussed in this paper in the kind of observer design of time-varying singular systems (Transistor Circuits). The results (approximate solutions) obtained using the Adomian Decomposition Method (ADM) and Singleterm Haar wavelet series (STHW) [12] methods are compared with the exact solutions of the time-varying singular systems. It is found that the solution obtained using ADM is closer to the exact solutions of the timevarying singular systems. The high accuracy and the wide applicability of ADM approach will be demonstrated with numerical examples. Finally error graphs for approximate and exact solutions are presented in a graphical form to show the accuracy of the ADM. This ADM can be easily implemented in a digital computer and the solution can be obtained for any length of time.