Process Reaction Curve & Controller Tuning | FOPDT Model + GATE PYQs | Chemical Engineering 2027

🎯 *GATE 2027 Chemical Engineering | Process Dynamics and Control (PDC)* In this lecture, we discuss an important GATE Chemical Engineering problem based on **process gain, time constant, dead time, and uncertainty in controller tuning**. We will understand how uncertainty in process parameters affects the stability of a closed-loop control system and how to identify the limiting proportional controller gain. 📚 *Topics Covered:* ✅ First-Order Plus Dead-Time (FOPDT) model ✅ Physical significance of process gain, time constant, and dead time ✅ Effect of ±20% uncertainty in process parameters ✅ Proportional controller gain and closed-loop stability ✅ Ultimate gain and critical stability conditions ✅ Step-by-step solution of a GATE-level numerical problem ✅ Important concepts and shortcuts for GATE examination *Important Transfer Function:* \[ G_p(s)=\frac{K_pe^{-\theta s}}{\tau s+1} \] This lecture is useful for students preparing for **GATE 2027 Chemical Engineering**, especially those studying Process Dynamics and Control, process identification, feedback control, and controller tuning. 🎓 *Subject:* Process Dynamics and Control 📘 *Branch:* Chemical Engineering 🎯 *Examination:* GATE 2027 / GATE 2028 If you find this lecture helpful, please LIKE, SHARE, and SUBSCRIBE for more GATE Chemical Engineering lectures, numerical problems, and previous-year question solutions. #GATE2027 #ChemicalEngineering #ProcessDynamicsAndControl #GATEChemicalEngineering #PDC #ControllerTuning #FOPDT #ProcessControl #GATEPreparation #GATEPYQ