Control Systems Pdf notes

Number of Pages: 141 Pages
File size: 5 MB
Suitable for: Certificate, Diploma, University and Professional Courses
UNIT I
Introduction to Control systems:

• Concept of control system
• Classification of control systems
• Open loop and closed loop control systems
• Differences
• Examples of control systems
• Effects of feedback
• Feedback Characteristics

Transfer Function Representation:

• Block diagram algebra, Determining the Transfer function from Block Diagrams
• Signal flow graphs (SFG)
• Reduction using Mason’s gain formula
• Transfer function of SFG’s.

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.

PID controllers:

• Effects of proportional derivative
• proportional integral systems on steady state error.

UNIT III
Stability Analysis in S-Domain:

• The concept of stability
• Routh-Hurwitz’s stability criterion
• qualitative stability and conditional stability
• Limitations of Routh-Hurwitz’s stability

Root Locus Technique:

• Concept of root locus
• Construction of root locus
• 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 plot diagrams
• Determination of Phase margin and Gain margin
• Stability analysis from Bode plots, Polar plots.

 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