EE303: Control Systems

Department of Electrical Engineering, Indian Institute of Technology Dharwad

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Objectives and Philosophy

Control Systems are ubiquitous.

Natural control systems can be found in various organ systems of human body. Human engineered control systems are used in various applications, in common household (refrigerators, washing machines etc.), industries (process control in power Plants, refineries and industrial robots), transport (automobiles, air-crafts), military (missiles, interceptor systems, surveillance systems), space (satellite tracking and navigation), the list goes on.

The objective of this course is to formally introduce the fundamentals of Control Systems. In this course, students are expected to build on the basic concepts of Linear Algebra, Laplace and Fourier Transforms and understand what to control, why to control and how to control. The students are encouraged to observe and explore the control systems around them in context of the concepts learnt in this course.

The course begins with the concept of modelling of dynamical system that explains how to use the fundamental principles behind the working of the system to create the mathematical models in various forms. The students are expected to appreciate that systems that appear quite different, may be fundamentally identical. This module is followed by the study of time response of the systems, which explains how to use the system models to predict the behaviour of systems in response to various inputs.

Stability is one of the critical parameters of any system. For a system to be implementable, it needs to be stable. In this module, the students are expected to learn the stability properties and techniques to check if a system is stable or not. The time response, stability and steady-state error answer the question why to control a system.

The techniques of Root Locus, State-Space analysis and Frequency Response are commonly used to estimate the stability, time response etc. These techniques are further useful for designing the controllers for a system so that the system so that the system behaves in the desired fashion. In this course, these techniques will be studied, in detail, from the analysis perspective. The students are also expected to get familiarised with the design of controllers using these techniques.

At the end of this course, a student must be able to analyse dynamical systems for their stability and performance and design at-least basic controllers for stabilisation and/or performance requirements.