ABSTRACT

In the process of analyzing a system, two tasks must be performed: modeling the system and obtaining the dynamic system response. The first task was accomplished in and the dynamic system response is obtained by solving the differential equations that constitute the system model. The use of Laplace transforms to solve dynamic system models proceeds from two forms of the models; the input-output differential equation, or from the system transfer function. The techniques that are used to deal with partial fractions are discussed and then the determination of the system response by the two methods is developed. The transfer function, the ratio (in Laplace transforms) of the output to the input, is given by the block can be represented by an electronic amplifier with the transfer function printed inside as illustrated in the preceding diagram shown in the chapter.