CHAPTER THREE
APPLICATION TO LINEAR SYSTEMS
In this chapter the linear servomechanism problem is considered.
Since the linear problem can be regarded as a special case of the nonlinear problem, the methods developed in the previous chapter apply here as well.
When using the methods of the previous chapter, specific conditions must be met in order to guarantee a solution to the servomechanism problem. Here, it will be shown that these conditions are satisfied whenever the well established conditions [1-7] imposed for the linear problem are satisfied. Of course this is obvious; however, the insight obtained by approaching the problem from a different point of view will prove beneficial. In fact, many of the results obtained in this chapter will be used in subsequent chapters where feedback gains are selected for the nonlinear problem via a linearized model.
Review of Linear Servomechanism Results
In this section we give a brief review of the well known results for the linear servomechanism problem. A more general discussion of this topic can be found in [2] or [3].