Control Theory #14 - Block Diagram Simplification

Instructor: Dr. Süleyman Burak ÇELİK

Many academic videos are categorized here: https://AcEdumy.com Welcome to Lesson 14 of the Control Theory course! In this lesson, we master block diagram simplification — six connection rules that reduce complex systems to simple equivalents: ✅ Parallel: G₁ + G₂ ✅ Series: G₁ · G₂ ✅ Summation 1: Split input through G ✅ Summation 2: Move addition with 1/G ✅ Summation 3: Rearrange summation order ✅ Feedback: G₁ / (1 + G₁G₂) ✅ DC Motor: 5-block diagram → 2-block cascade ✅ Input-Output: Ω/U = G₁·G₂ ✅ Disturbance-Output: Ω/TL = −G₂ ✅ Simulation with real parameters 📚 Topics covered: 00:00 - Introduction 00:03 - What We Will Learn 00:24 - Parallel & Series Rules 00:49 - Summation Rules 01:22 - Feedback Rule 02:02 - DC Motor Full Block Diagram 02:36 - Step 1: Inner Ra Loop Simplification 03:06 - Step 2: Outer cΦF Loop Simplification 03:36 - Result & Simulation 04:20 - Summary Key Result: Six connection rules — especially the feedback rule — let us systematically reduce any block diagram. Applied to the DC motor, we get clean input-output and disturbance-output transfer functions! 🔔 Subscribe for more engineering tutorials! 📺 Previous: #13 - Second-Order Step Response 📺 Next: #15 - State-Space Models (Coming Soon) #ControlTheory #BlockDiagram #Simplification #FeedbackRule #DCMotor #TransferFunction #ControlEngineering #Engineering #ParallelSeries