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Ultimate Automatic Control Theory in Electrical Engineering
Mathematical Modelling of Systems
Automatic Control Course Content (4:20)
Introduction to Automatic Control (16:13)
Mathematical Modelling of the System (10:00)
Fourier Series and Fourier Transform (14:14)
Laplace Transform (S-Domain) (8:31)
Linear Time Invariant (LTI) Systems (21:22)
Example 1 (2:51)
Types of Electrical Systems (18:42)
Example 2 (8:18)
Example 3 (3:28)
Course Files and Slides
Block Diagram Reduction
Block Diagrams In Control Systems (3:07)
Block Diagram Reduction (7:28)
Feedback Connection (4:34)
Example 4 (14:43)
Example 5 (4:46)
Signal Flow Graph
What is a Signal Flow Graph (SFG)? (4:17)
Definitions in Signal Flow Graphs (10:16)
Steps to Convert Block Diagram to SFG (4:59)
Example 6 (3:17)
Mason’s Formula (3:55)
Example 7 (8:39)
Example 8 (10:31)
Algebra of Signal Flow Graph (8:26)
Example 9 (3:11)
Example 10 (1:42)
Example 11 (14:24)
Time Response Analysis
Introduction to Time Response Analysis (2:46)
Types of Inputs (11:16)
Types of Transfer Functions (5:00)
First Order System – Impulse Response (8:01)
First Order System – Unit Step Response (14:03)
First Order System – Unit Ramp Response (14:52)
Time Response Specifications of a 1st Order System (9:05)
Example 12 (6:46)
Example 13 (5:50)
Second Order System (14:38)
Second Order System - Underdamped (23:48)
Second Order System - Critically-Damped (9:31)
Second Order System - Overdamped (8:54)
Time Response Specifications of a 2nd Order System (3:09)
Peak Time And Maximum Percentage Overshoot (14:36)
Rise Time of Underdamped System (8:42)
Settling Time of Underdamped System (8:02)
Example 14 (2:24)
Example 15 (11:05)
Example 16 (5:06)
First Order System in MATLAB (4:28)
Second Order System in MATLAB (8:12)
Control System Stability
Stability of a System (20:17)
Routh-Hurwitz Criterion (10:04)
Example 17 (7:54)
Example 18 (16:11)
Example 19 (4:03)
Example 20 (7:15)
Steady State Error (17:42)
Steady State Error for Different Inputs and Systems (15:31)
Example 21 (7:28)
Root-Locus Method
Introduction to Root-Locus Method (109:20)
Sketching the Root-Locus Method (25:52)
Example 22 (37:00)
Example 23 (12:35)
The Angle of Departure and Angle of Arrival (13:04)
Example 24 (11:45)
Example 25 (21:02)
Root Locus and Time Response (9:45)
Example 26 (16:56)
Root-Locus in MATLAB (4:58)
Root-Locus Using an Online Software (2:07)
Compensators in Control Systems
Compensators in Control Systems (10:32)
Passive Lead and Lag Compensators (11:49)
Active Lead and Lag Compensators (10:03)
Example 27 - Design of Lead Compensators (30:31)
Example 28 - Design of Lead Compensators (23:43)
Design of Lag Compensators (16:24)
Example 29- Design of Lag Compensators (5:21)
Lead Compensator in MATLAB (6:43)
Lag Compensators in MATLAB (20:07)
PID Controllers
Introduction to PID Controllers (34:54)
Effect of a P-Controller (15:07)
Effect of a PD-Controller (6:28)
Effect of a PI-Controller (7:00)
Effect of a PID-Controller (9:12)
Methods of Tuning PID Controllers (1:44)
Open Loop Ziegler-Nichols Method (11:33)
Closed Loop Ziegler-Nichols Method (21:33)
Open Loop Ziegler-Nichols Method - MATLAB (11:10)
Closed Loop Ziegler-Nichols Method - MATLAB (17:05)
How to Implement PID Controller in Simulink of MATLAB (28:14)
Tuning a PID Controller In MATLAB Simulink (17:19)
PID Tuning Using Particle Swarm Optimization Algorithm (29:02)
Polar Plot
Introduction to Frequency Response Analysis (8:04)
Steps of Frequency Response Analysis (13:28)
Understanding Frequency Response Analysis Using Simulink (8:50)
Polar Plot (16:22)
Example 30 (51:18)
Example 31 (16:06)
Example 32 (13:48)
Example 33 (8:47)
Nyquist Criterion
Mapping and Cauchy Principle (65:00)
Nyquist Criterion (16:26)
Nyquist Criterion in MATLAB (5:54)
Example 34 on Nyquist Criterion (31:13)
Example 35 on Nyquist Criterion (29:05)
Example 36 on Nyquist Criterion (18:56)
Introduction to Relative Stability (29:24)
Phase Margin (PM) (6:38)
Gain Margin (GM) (6:44)
Example 37 (7:24)
Understanding GM Using MATLAB, Root Locus, and Nyquist (12:29)
Effect of PM on GM (10:42)
Bode Plot
Introduction to Bode Plot (10:33)
Decibel Scale (9:12)
Constant Gain Representation (5:25)
Differentiator Representation (10:23)
Integrator Representation (6:24)
First-Order Representation (17:01)
Second-Order Representation (8:16)
Steps of Bode Plot (4:06)
Example 38 (15:49)
Example 39 (12:48)
Example 40 (8:02)
Mathematical Relations in the Bode Plot (9:33)
Example 41 (3:43)
Minimum Phase System (8:22)
Non-Minimum Phase System (8:37)
Exact and Approximate Bode Plots (9:13)
Transfer Function Identification From Bode Plot (5:24)
Example 42 (5:34)
Example 43 (5:23)
Example 44 (5:26)
Example 45 (15:20)
Gain Margin and Phase Margin in Bode Plot (8:13)
Example 46 (7:19)
PM and GM of Bode Plot in MATLAB (6:05)
Design of Compensators Using Bode Plot
Performance Parameters (3:40)
Effect of Gain (K) on Bode Plot (6:53)
Bode Plot of a Lead Compensator (22:55)
Design of Lead Compensator In Bode Plot (14:22)
Example 47 on Design of Lead Compensator (12:35)
Bode Plot of a Lag Compensator (12:48)
Design of Lag Compensator In Bode Plot (10:34)
Example 48 on Design of Lag Compensator (11:15)
Bode Plot of Lead and Lag Compensators in MATLAB (8:28)
Introduction to Distributed Generators
Introduction to Distributed Generators (6:24)
Technologies of Distributed Generators (6:08)
Hydrogen Fuel Cell (7:58)
Ultra Capacitors (5:13)
Flywheel Energy Storage (6:04)
Importance of Distributed Generators (10:17)
Course Files and Slides
Scalar Control of a Distributed Generator
Classification of Distributed Generators (6:31)
Static Synchronous Generator (SSG) (7:04)
Control Goals of an SSG (10:29)
Active and Reactive Power in a Synchronous Machine (14:34)
Scalar Control of a Distributed Generator (13:01)
Generation of Switching Signals (18:10)
Vector Control of a Distributed Generator
Space Vector of a Balanced Three-Phase System (9:18)
Clarke Transform - (a,b,c) to (𝛼,𝛽) (16:48)
Park Transform - (𝛼,𝛽) to (d,q) (9:39)
All Frame Transformations (6:53)
Example on Clarke and Park Transformation (12:54)
Example on Power Invariant and Variant Transformations (13:44)
Vector Control “Voltage Orientation” (15:43)
Vector Control of SSG - Open Loop Control (6:08)
Vector Control of SSG - Closed Loop Control (8:33)
Hysteresis Current Control (HCC) (14:07)
Estimating the Phasor Angle of Grid Voltage (7:07)
Addition of a Filter with a Lag Phase Shift (14:10)
Phase-Locked Loop (PLL) (16:47)
Example 28 - Design of Lead Compensators
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