Control Systems notes

KSh290.00

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.
Category:

Description

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.

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