Abstract
Control systems are used to maintain the stability of the translational and rotational motion of a body. In certain cases, an analysis can be performed to determine the conditions under which the stability of a body can be maintained. The control systems can be analyzed in the discrete and continuous domain. The continuous state describes the equations of motion and the controller in the time domain. Once the signal in the continuous state is sampled, the system is discretized and can be represented in the digital domain. In both domains, pole placement techniques and optimal control schemes can be used to determine the control laws. The objective of this chapter is to show the reader how to develop any type of control system in the continuous and discrete domain.
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