**What are you going to learn?**

**Content**

Understand the general approach to designing and building a control system. Comprehend the concept of open and closed loop systems, and compare and contrast the performance of the two systems. Describe general terms used in control such as optimization, plant, process, design specifications, sensors, transducers etc. Model electrical and mechanical systems by obtaining their differential equations and transfer functions. Evaluate system transfer function of a DC motor. Describe block diagram and signal flow graph models and use Masonâ€™s Gain formula. Describe sensitivity and disturbance and their mathematical equations. Evaluate error and steady state error for different inputs and systems in general. Obtain system step and impulse response of a first, second, and higher order systems. Evaluate system stability using pole zero diagram and Routh-Hurwitz criterion. Discuss system stability using Root-Locus. Understand the use of PID controllers in design of systems. Obtain frequency response plots of different systems in forms of Bode Diagram (amplitude and phase), Polar Plot, and Log Magnitude - Phase Diagram. Discuss stability in frequency domain using Nyquist criterion and Nichols chart. Understand the idea of relative stability in terms of Gain and Phase Margin. Use Matlab and Simulink to design systems, evaluate stability, and obtain response.

**Chapter 1. Mathematical Models of Systems**

System Differential Equation

Laplace Transform

Transfer Function

Block Diagram

Signal Flow Diagram

Mason's Gain Formula

Sensitivity

Disturbance

Steady State Error

**Chapter 2. Feedback Control System Characteristic**

**Chapter 3. Performance of Feedback Control System**

Performance Specification

First Order System

Second Order System

Higher Order System

Steady State Error for Different Type Systems and Inputs

Performance Indices

**Chapter 4. Stability of Linear Feedback Systems**

Pole - Zero

Routh-Hurwitz Criterion

**Chapter 5. The Root-Locus Method **

PID Controllers

**Chapter 6. Frequency Response Methods for Analysis and Stability**

Polar Plot

Bode Diagrams

Log-Magnitude and Phase Diagrams

Design of Compensation of Feedback Systems

### Bibliography

Dorf, R., and Robert Bishop.

. 13th ed, Pearson*Modern Control Systems*Phillips and Harbor.

*F*3rd . Ed., Prentice Hall 1996,*eedback Control Systems*.Golnaraghi, F., and Benjamin Kuo.

. 7th. Ed. Prentice Hall, 1995.*Automatic Control System*Norman, S.

. 8th edition, Wiley Inc.2019.*Control Systems Engineering*