ABSTRACT
This chapter presents two case studies in order to introduce basic concepts in Control Theory and Digital Signal Processing, respectively. The first will one consist in a simple control problem to regulate the flow of a liquid in a tank in order to stabilize its level. The chapter introduces some basic concepts of control theory to let the reader become familiar with the concept of transfer function, system stability, and the techniques for its practical implementation. The second case study is the implementation of a low-pass digital filter and is intended to introduce the reader to some basic concepts in digital signal processing, using the notation introduced by the first example. The chapter discusses the choice of the sampling period T for taking signal samples and using them in the digital controller. It discusses the basic concepts of control theory and the techniques that are necessary to design and implement a digital low-pass filter.
