Process Laboratory Control 3. Mathematical Modelling

Process 3. Mathematical Modelling Control Laboratory Modelling principles Model types Model construction Modelling from first principles Models for technical systems Electrical systems Mechanical systems Process engineering systems Model linearization Motivation Linearization of ODEs KEH Process Dynamics and Control 3 1. 3. Mathematical Modelling Process Control Modelling principles Laboratory Model types For design and analysis of a Control system we need a Mathematical model that describes the dynamical behaviour of the system. The dynamics can be described by differential equations for continuous-time dynamics difference equations for discrete-time dynamics Most processes are time continuous, but some processes are inherently time discrete ( radioactive decay). computer algorithms ( controllers) and many measuring devices produce outputs at discrete time instants to design such controllers, we sometimes use discrete-time models to describe continuous-time processes In this course, we will consider both types of models controller design both in continuous and discrete time However, the major part of the course deals with continuous time.

In modelling from first principles, two types of mathematical relationships are ... 3. Mathematical Modelling. 3.2.2 Mechanical systems. The modelling of mechanical systems are mainly based on . Newton’s second law.

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