Linear Control Systems | GR20 LCS Notes

LINEAR CONTROL SYSTEMS



UNIT- I

  • Introduction to control systems
  • Classification
  • open-loop and closed-loop systems.
  • Transfer function of SISO and MIMO
  • Block Diagram of a closed-loop system
  • procedure for drawing a block diagram.
  • transfer function of block diagrams
  • construction of Signal Flow Graphs (SFG)
  • Signal Flow Graph analysis.

UNIT- II

  • Time response of control system
  • Standard test signals
  • Time response of first order and second-order systems
  • steady state errors and errors constrains.
  • Bounded Input and Bounded Output (BIBO)
  • Necessary conditions for stability
  • Routh stability criterion
  • applications of the Routh stability criterion
  • relative stability analysis

UNIT- III

  • Root locus concepts
  • construction of root loci
  • rules for the construction of the root locus
  • Correlation between time and frequency response
  • Polar plots and inverse polar plots.

UNIT- IV

  • Bode plots
  • Basic factors of G(jw)H(jw)
  • general procedure for constructing Bode plots
  • computation of Gain Margin and Phase margin
  • Nyquist plots
  • principle of argument
  • Nyquist stability criterion.

UNIT- V

State Space Analysis: 

  • Concepts of state
  • state variables and state models
  • state-space representation
  • state transition matrix
  • state transition equation.


UNIT - 1

👉👉👉 Unit 1 control systems.pdf

UNIT - 2

👉👉👉 unit_2_05-10-22

UNIT - 3

👉👉👉 Unit-3 ( 23-11-2022)

Unit-4

👉👉👉 Unit-4 _ (23-11-22)

👉✌Unit4_2.pdf(21-12-22)

Unit-5

👉👉👉Unit-5_(24-11-22)

👉👉Unit5_text


For more practice, textbook:

👉👉 Control System Engineering.pdf




Have you learned these topics 🤔

System, control system, definition.

Block diagram v/s signal flow graph

Open loop system v/s closed loop system

These are for 2marks from unit 1.

From unit 2

Time response analysis formula,

Type and order of a system

Drawback of r-h criteria

Finding k value from r-h

Steady state error




From unit 3

Root locus, frequency domain specifications,

Polar plot definitions,

Root locus rules.


From Unit 4

Bode plot rules, nyquist rate,. .


Unit 5

State transition matrix, state model, state, state variable.

Transfer function v/s space state analysis.


Thank you.

Happy learning 🎈.


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