Control Theory #07 - Drawing Block Diagrams from Differential Equations

Instructor: Dr. Süleyman Burak ÇELİK

Many academic videos are categorized here: https://AcEdumy.com Welcome to Lesson 7 of the Control Theory course! In this lesson, we learn to draw block diagrams from differential equations using the RC circuit as our example: ✅ Four-step method for converting equations to block diagrams ✅ Step 1: Identify input (u) and output (y) ✅ Step 2: Remove derivatives by taking integrals ✅ Step 3: Isolate y on one side ✅ Step 4: Draw the diagram from inside out 📚 Topics covered: 00:00 - Introduction 00:10 - Recap: RC Circuit Equation 00:25 - Four Steps Overview 00:46 - Step 1: Identify Input/Output 00:57 - Step 2: Remove Derivatives (Intro) 01:11 - Step 2: Taking Integrals 01:32 - Step 3: Isolate y (Intro) 01:47 - Step 3: Rearranging Equation 02:12 - Step 3: Simplifying (Combine Integrals) 02:34 - Step 4: Draw Block Diagram (Intro) 02:43 - Drawing: Input and Output 02:55 - Drawing: Inner Operation 03:12 - Drawing: Feedback Path 03:27 - Drawing: Summing Junction 03:44 - Drawing: Integrator 03:59 - Drawing: Gain 1/C 04:12 - Complete Diagram (Version 1) 04:32 - Alternative: Combined Block 04:52 - Comparison of Two Versions 05:15 - Key Observations 05:35 - Summary Key Result: y = (1/C) · ∫[u - (1/R)·y] dt → Feedback Control Structure 🔔 Subscribe for more engineering tutorials! 📺 Previous: Block Diagram Basics 📺 Next: More Complex Systems #ControlTheory #BlockDiagrams #DifferentialEquations #RCCircuit #ControlSystems #Engineering #PlantModeling #FeedbackControl