Course Details
Subject {L-T-P / C} : EE3301 : Principles of Control Systems Engineering { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Susovon Samanta
Syllabus
Module 1: Mathematical representation of Electrical systems, mechanical systems, natural systems, biological systems, social systems, economic systems, etc. Introduction to state-space and transfer function models. Block diagram, signal flow graphs. [6hr]
Module 2: Response of linear time-invariant systems to standard test signals: impulse, step, ramp. Transient and steady-state performance. Time-domain performance specifications. Introduction to related Matlab commands. [5hr]
Module 3: Concept of stability. Concept of feedback and its effect on stability and performance. Introduction to Routh-Hurwitz criterion and root locus. Introduction to related Matlab commands. [7hr]
Module 4: Controller or compensator design to meet time-domain performance specifications. [3hr]
Module 5: Frequency response of linear systems. Analysis using Bodes plot, polar plot and Nyquist plot. Frequency domain specifications. Concept of absolute and relative stability, Nyquist criterion, and M and N circle. Introduction to related Matlab commands. [13hr]
Module 6: Controller or compensator design to meet frequency-domain performance specifications. [3hr]
Course Objectives
- To obtain mathematical models from the first principle equations of dynamical systems.
- To carry out stability analysis and performance assessment of a linear system using time-domain and frequency-domain techniques
- To introduce computational tools: Matlab, Wolfram Mathematica, etc.
- To develop control algorithms for achieving an intended performance objective.
Course Outcomes
At the end of the course, a student will be able to:
CO1. Employ techniques to model, linearize and simplify dynamical systems.
CO2. Evaluate systems performance with respect to standard time-domain performance criteria.
CO3. Analyze the effect of introducing controller and feedback concept and solve stability and judge the system performance.
CO4. Analyze linear system behaviour in the frequency domain by Nyquist and Bode Plots and evaluate stability and relative stability.
CO5. Design controller/compensator in the time and frequency domain.
CO6. Use computational tools: Matlab, Mathematica etc. to plot signals, analyze linear systems and solve control problems.
Essential Reading
- K. Ogata, Modern Control Engineering,, Pearson Higher Education, 2002
- R.C. Dorf and R.H.Bishop, Modern Control System, Pearson, 2017
Supplementary Reading
- Karl Johan Åström and Richard M. Murray, Feedback Systems, PRINCETON UNIVERSITY PRESS, 2008 , (free on the internet)
- B.C. Kuo, Automatic Control System, Prentice Hall, Digitized Dec 5, 2007