- The task of mathematical modelling is an important step in the analysis and design of control
systems. In this chapter, we will develop mathematical models for the mechanical, electrical,
hydraulic and thermal systems which are used commonly in everyday life. The mathematical
models of systems are obtained by applying the fundamental physical laws governing the
nature of the components making these systems. For example, Newton's laws are used in
the mathematical modelling of mechanical systems. Similarly, Kirchhoff's laws are used in ...
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