ABSTRACT
This chapter explains single-input-single–output systems and utilizes the classical system description techniques: namely, the differential equations and the transfer function. It explores the time-domain analysis of linear time-invariant control systems. The chapter presents a detailed analysis of first- and second-order systems with zero initial conditions, since these type of systems are often met in practice. It examines the effects of the transfer function parameters on the system’s output waveform, aiming in waveform standardization. The term root locus is defined as the locus of all roots of the characteristic polynomial of a system in the complex plane. This locus is formed when varying one or more system parameters. The problem of time-domain analysis may be briefly stated as follows: given the system and its input, determine the time-domain behavior of the output of the system.
