Model Predictive Control (MPC) from Refineries to Rocket Landings: Receding Horizon Optimization, DMC in Petrochemicals, Constraint Handling, and Fast Embedded QP Solvers

Deep End Era. Engineering with Sankalp · Oct 29, 2026 · 1h 4m

Every real-world machine lives inside a box of hard physical limits: a refinery valve cannot open past a hundred percent, a distillation column floods above its differential-pressure ceiling, and a landing rocket engine cannot throttle down to zero thrust or tilt past its gimbal stops. Classical PID and LQR controllers are mathematically blind to those walls until they crash into them. We build Model Predictive Control (MPC) from first principles: receding-horizon step-response and state-space prediction, dense vs sparse Quadratic Programming (QP) formulations, terminal Riccati costs and…