This chapter reviews classical control systems equations in addition to an introduction to "modem" control systems (i.e., state variable analysis). In the past, the examination did not include questions on state variables; now, however, several questions may well be on this subject. While, in the last few years many undergraduate control systems college courses have included an introduction to z-transforms, it is unlikely the examination will include any questions on this subject. One of the more popular texts widely used throughout the United States that does include both classical and modern control. is one by Kuo ^[1] written for the undergraduate level. There are many other books that cover both areas but it's best to stick with your particular college text that you are familiar with if it includes state variables. (Caution, no need to go overboard on all of the details concerning state variables; know the notation and concepts and you should be OK.)

Classical Control Systems:

More than likely, the bulk of the questions will involve classical control theory which includes: block diagram formulation and reduction, linear system stability, system error, second order system specifications (with higher ordered systems being approximated by second order ones), frequency response methods, and system compensation. The back ground for this material requires a good understanding of Laplace transforms, pole-zero maps, and transient response analysis.