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Topics:

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1.     Introduction  

2.     Mechanical Translation, Rotational Systems

3.      Block Diagram Reduction, Signal Flow Graph 

4.     Servo Motor 

5.     Time Domain Analysis 

6.      Routh's Criterion

7.      Root Locus 

8.      Frequency Response Analysis 

9.       State Space Analysis 

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The above Notes covers the below Topics:

UNIT -I: Introduction: Concepts of Control Systems- Open Loop and closed loop control systems and their differences- Different examples of control Systems-Classification of control systems, Feed-Back Characteristics, Effects of feedback, Mathematical models - Differential equations, Impulse Response and transfer functions.

Transfer Function Representation: Block diagram representation of systems considering electrical systems as examples -Block diagram algebra — Representation by Signal flow graph - Reduction using Mason's gain formula. 

UNIT -II: Time Response Analysis: Standard test signals - Time response of first order systems -Characteristic Equation of Feedback control systems, Transient response of second order systems - Time domain specifications- Steady state response - Steady state errors and error constants -Effects of proportional derivative, proportional integral systems.

UNIT-III: Stability Analysis in S-Domain: The concept of stability - Routh's stability criterion - qualitative stability and conditional stability - limitations of Routh's stability.

Root Locus Technique: The root locus concept - construction of root loci-effects of adding poles and zeros to G(s) H(s) on the root loci. 

UNIT-IV: Frequency Response Analysis: Introduction, Frequency domain Specifications-Bode Diagrams-Determination of Frequency domain specifications and Phase margin and Gain Margin-Stability Analysis from Bode Plots. Polar Plots-Nyquist Plots-Stability Analysis. Compensation techniques — Lag, Lead and Lead -Lag Controllers design in frequency Domain, PID Controllers. 

UNIT -V: State Space Analysis of Continuous Systems: Concepts of state, state variables and state model, derivation of state models from block diagrams, Diagonalization- Solving the Time invariant state Equations- State Transition Matrix and it's Properties — Concepts of Controllability and Observability. 

Suggested Books:

1. Control System Engineering by Nagrath, I.J, and Gopal, M.
2. Modern Control Engineering by Ogata, K.
3. Digital control Engineering by Gopal, Madan
4. Control systems by bhakshi

   

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