Course Curriculum
Total learning: 97 lessons / 4 quizzes Time: 10 weeks
- 1. Introduction 9
- 1.1 Control Systems IntroductionLecture1.1
- 1.2 Transfer FunctionLecture1.2
- 1.3 Stable and NonStableLecture1.3
- 1.4 Poles and Zeroes Location – 1Lecture1.4
- 1.5 Open Loop and Closed LoopLecture1.5
- 1.6 Negative Feedback SystemsLecture1.6
- 1.7 Types and Order of the SystemLecture1.7
- 1.8 Transfer Function Essential Network – 1Lecture1.8
- 1.9 Transfer Function Essential Network – 2Lecture1.9
- Laplace Transform 8
- Relation Between Laplace Transform and Fourier TransformLecture2.1
- Introduction to Laplace TransformLecture2.2
- Laplace Transform of Basic Signals.Lecture2.3
- Overview of Properties of Laplace TransformLecture2.4
- Applications of Laplace Transform – 1Lecture2.5
- Applications of Laplace Transform – 2Lecture2.6
- Inverse Laplace Transform – 1Lecture2.7
- Inverse Laplace Transform – 2Lecture2.8
- 2. Block Diagram Representation 4
- 3. Signal Flow Graph 7
- 3.1 Signal Flow Graph RepresentationLecture4.1
- 3.2 Mason’s Gain FormulaLecture4.2
- 3.3 Transfer Function ExampleLecture4.3
- 3.4 Transfer Function Problem – 1Lecture4.4
- 3.5 Transfer Function Problem – 2Lecture4.5
- 3.6 Transfer Function Problem (More Forward Paths)Lecture4.6
- 3.7 Conversion From Block Diagram to Signal Flow Graph RepresentationLecture4.7
- 4. Mathematical Model 3
- 4.2 Transfer Function from mechanical SystemLecture5.1
- 4.3 Force – Voltage (F-I) and Force – Current AnalogyLecture5.2
- 4.4 Problems on F-V, F-ILecture5.3
- 5. Linear Time Invariant Systems 6
- 5.1 Linear Time Invariant Systems IntroductionLecture6.1
- 5.2 Linear Time Invariant (LTI) System ResponsesLecture6.2
- 5.3 Differential EquationsLecture6.3
- 5.4 Impulse Response of the SystemLecture6.4
- 5.5 Sinusoidal ResponsesLecture6.5
- 5.6 Initial and Final Values of FunctionLecture6.6
- 6. Time Domain Analysis 11
- 6.1 Introduction to Transient and Steady State ResponseLecture7.1
- 6.2 Steady State ErrorLecture7.2
- 6.3 Steady State Error with Inputs (Step, Ramp and Parabolic)Lecture7.3
- 6.4 Steady state error with different type of systemLecture7.4
- 6.5 Problems on Steady State ErrorLecture7.5
- 6.6 Transient Response of first order systemLecture7.6
- 6.7 Transient Response of Second order systemLecture7.7
- 6.8 Stability condition with damping factorLecture7.8
- 6.9 Step Response of Second Order SystemLecture7.9
- 6.10 Delay time, Peak time and transient response parametersLecture7.10
- 6.11 Problems on transient parametersLecture7.11
- 7. Routh Hurwitz (R-H) Criterion 8
- 7.1 StabilityLecture8.1
- 7.2 Stability ProblemsLecture8.2
- 7.3 Stability Analysis – 1Lecture8.3
- 7.4 Stability Analysis – 2Lecture8.4
- 7.5 R-H CritiriaQuiz8.10 question
- 7.6 Problems on R-H CritiriaQuiz8.20 question
- 7.7 Absolute and conditional StableQuiz8.30 question
- 7.8 Problems on R-H CritiriaQuiz8.40 question
- 8. Root Locus 13
- 8.1 Root Locus IntroductionLecture9.1
- 8.2 The relation between Closed Loop and Open Loop Transfer FunctionLecture9.2
- 8.3 Poles of Closed Loop SystemsLecture9.3
- 8.4 Procedure to Draw Root LocusLecture9.4
- 8.5 How to find asymtoms of Transfer FunctionLecture9.5
- 8.6 Problems on Root Locus – 1Lecture9.6
- 8.7 Problems on Root Locus – 2Lecture9.7
- 8.8 Problems on Root Locus – 3 ( Break Point & Cross Section of Imaginary Axis)Lecture9.8
- GraphLecture9.9
- 8.9 Problems on Root Locus – 4Lecture9.10
- 8.10 Problems on Root Locus – 5 (Unity Feedback System)Lecture9.11
- graph 1Lecture9.12
- graph 2Lecture9.13
- 9. Frequency Domain Analysis 5
- 9.1 Frequency Domain Analysis Introduction (Magnitude Response & Phase Response)Lecture10.1
- 9.2 Resonance Frequency (Wr) & Resonance Peak (Mr) for Unity Feedback System)Lecture10.2
- 9.3 Finding Gain Margin and Phase Margin using Open Loop Transfer FunctionLecture10.3
- 9.4 Problems on Gain Margin and Phase MarginLecture10.4
- 9.5 Problems on Phase MarginLecture10.5
- 10. Bode Plot 6
- 10.1 Bode Plot IntroductionLecture11.1
- 10.3.1 Problems on Bode Plot – 1Lecture11.2
- 10.2 Procedure to Draw the Bode Plot of given Transfer FunctionLecture11.3
- 10.3.2 “Semilog Graph” Representation for above ProblemLecture11.4
- 10.4.2 “Semilog Graph” Representation for above ProblemLecture11.5
- 10.4.1 Problems on Bode Plot – 2Lecture11.6
- 11. Polar and Nyquist Plot 7
- 11.1 Polar Plot IntroductionLecture12.1
- 11.2 Problems on Polar PlotLecture12.2
- 11.3 Shortcut Technique to draw Polar PlotLecture12.3
- 11.4 Phase Margin and Gain Margin from Polar PlotLecture12.4
- 11.5 Introduction to Nyquist PlotLecture12.5
- 11.6 Problems on Nyquist Plot – 1Lecture12.6
- 11.7 Problems on Nyquist Plot – 2Lecture12.7
- 12. Controllers and Compensators 2
- 12.1 How to control the System Performance (Controllers)Lecture13.1
- 12.2 Integral Controllers – P, I, D, PI, PDLecture13.2
- 13. State Space Analysis 8
- 13.1 Drawbacks of Transfer Function & Introduction to State Space AnalysisLecture14.1
- 13.2 State Space Analysis – A,B,C,D MatricesLecture14.2
- 13.3 Example : Find A,B,C,D from Differential Equation of the SystemLecture14.3
- 13.4 A,B,C,D Matrix from Transition FunctionLecture14.4
- 13.5 Shortcut – How to write A,B,C,D Matrices from given Transfer FunctionLecture14.5
- 13.6 How to Find Transfer Function from A,B,C,D MatricesLecture14.6
- 13.7 State Transition MatrixLecture14.7
- 13.8 Controllability and ObservabilityLecture14.8
- Assignments 4
- Assignment – 1Lecture15.1
- Assignment – 2Lecture15.2
- Assignment – 3Lecture15.3
- PRACTICE PAPERLecture15.4
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1.2 Transfer Function
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