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A control system can be modeled either as a transfer function, pole zero gain or state space form. The study and design of a control system involves developing a mathematical model for each component of the system, which may be an electrical, mechanical, thermal, or hydraulics system. The mathematical model development involves input variables, system variables and output variables. The system models are developed by applying the physical laws governing the system using ordinary/partial differential, linear or nonlinear equations. In order to find a solution, the differential equation describing the control system in time domain need to be transformed into an algebraic equation in frequency domain using Laplace transform approach. Hence Control system can be analyzed using two basic approaches. The solution obtained using transfer function approach is known as frequency domain approach or classical approach. This method is applicable to linear, time invariant systems. The sate variable approach also known as modern control approach, is a time domain approach applicable to multi input –output and non linear systems, and uses the concept of transfer function and Laplace transform.
In this workshop participant will be able to understand the mathematical modeling of any type of controlled system and its analysis in both time domain as well as frequency domain.
Introduction to MATLAB
Use of Laplace Transform
Transfer Function and State Space Models
Transient and Steady state response analyses
Time response analysis
First order system, Second order system
Routh Hurwitz Criterion,
Root Locus Technique
Effect of Addition of Poles and Zeros on Stability
Frequency Response analysis
Bode plot, Polar plot, Nyquist plot
Design of Lag and Lead Compensator
Design of P, PI, PD and PID controller
Mathematical modeling of DC motor and its speed controlling method
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