How to Design a Lag Compensator for Zero Steady-State Error

Learn how to design Lag Compensators to improve system accuracy using the Root Locus method. This lecture covers the complete design workflow for improving steady-state error of control systems. We start with the fundamental intuition of lead-lag control and end with a practical, worked example that demonstrates how to increase loop gain at low frequencies without degrading transient performance. Timestamps: 00:00 Introduction: Transient vs. Steady-State Specifications 00:21 Concept and Intuition of Lead and Lag Compensator Theory & Pole-Zero Geometry 04:39 Steady-State Error Analysis Review 09:55 Deriving the Lag Transfer Function 13:05 Worked Example: Designing for 10x Error Reduction 24:22 Final Pole-Zero Selection & Results #ControlSystems #EngineeringMath #ControlTheory #ElectricalEngineering #MechanicalEngineering #SystemApproximation #pidcontroller #leadlagcontrol