Control Systems notes

Number of Pages: 141 Pages
File size: 5 MB
Suitable for: Certificate, Diploma, University and Professional Courses

Summary of Topics covered:
UNIT – I:
Introduction:

• 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.