ABSTRACT
In this chapter, the authors consider estimation of systems in motion and control of certain kinds of dynamical systems. The field of feedback control seeks to modify existing dynamical systems in order for the modified system to evolve in time in a desired way. Regardless of the particular application, there are several broad categories of models into which most dynamical systems fall, and corresponding analytical/computational techniques for control system design have been developed for each of these categories. The dynamics and control of rotating systems such as satellites have been addressed in a large number of works in the guidance and control literature. In a digital control approach, where thrusters are modeled as instantaneous torques, the angular velocity can be modeled as being piecewise continuous. In this chapter, the authors have reviewed a number of basic results from the fields of linear systems theory, control, and stochastic processes.
