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Read our technical articles about algorithms, software, electronics, and engineering topics


๐Ÿ“ Control Loops

Lead Compensator Design: Mathematical Derivation – This document derives the complete mathematical framework for lead compensator design to maximize DC gain while maintaining phase margin.

๐ŸŽฏ Is Your Digital Control Loop Bandwidth SMALLER Than You Think? – Here’s a number that might ruin your day: your 1 kHz control loop probably can’t do better than 100 Hz bandwidth. And it gets worse.

๐Ÿ›‘ Stop Overcomplicating Your Digital Loop Filters – Z-transforms. Bilinear warping. Tustin’s method.

๐Ÿš€ Want More Bandwidth From Your Control Loop? Start Here. – Last time we learned a sobering truth: max bandwidth โ‰ˆ **1 / (10 ร— delay)**.

๐Ÿš€ Delay Series ยท Part 3 โ€” How to *Legally Cheat* Physics and Get More Gain – Sounds like snake oil? Let me show you the math. ๐Ÿ๐Ÿ“Š

๐Ÿ“„ General Articles

Blog System – Auto-Discovery Guide – The blog system automatically discovers and serves markdown files from `app/pages/blog/` directory. Just drop a `.md` file in the folder and it’s instantly available!

Building a Dynamic FastAPI-Powered CMS for Engineering Calculators – We needed a platform to host interactive engineering calculators with rich mathematical documentation. The requirements seemed simple enough: