a. 🤷♂️🎄🗺️ What do I know?! I thought this advent calendar is about control and not geography? b. 📐🧠🧭 Of course, NP = Not stable Pole and SP = Stable Pole c. 🌍🔥🧊 Due to global warming, the ice at the north pole … Continue reading24 – Which pole is stable?
In Santa’s workshop, the gingerbread conveyor belt chugged along with the serenity of a sleigh ride on fresh snow, carrying neat rows of biscuits to the decorating station. This smooth operation was the merit of a Pinecone–Icicle (PI) controller (very … Continue reading23 – How to best explain the curious incident of the marshmallow on the north pole?
In the Christmas bakery, the elves are busy preparing different goods including yummy Christmas cookies. The production is sectioned into different work areas and in the baking and oven area the elves are tasked with baking the cookies being delivered … Continue reading22 – What could possibly go wrong in the Christmas cookie bakery?
Only 4 days left, and a digital Christmas countdown clock was designed very thoroughly by an elf. Starting from today, it digitally generates the sequence x1x2 = 11 → 10 → 01 → 00 with a sampling time of 24 hours. Knowing discrete-time state-space models from control theory, … Continue reading21 – How to fix the countdown till Christmas?
Santa is testing the sweetness-control dynamics of his magical Hot Cocoa Machine. To observe its behaviour, the elves run a long enchanted Sweetness Testing Strip: the machine will push out a strip of paper at a constant speed, and plot … Continue reading20 – How to create a giant triangle of sweetness?
Christmas is coming soon, which puts everyone into high gear. Santa and his elves are preparing everything for their big gift-giving night. They tinker, refine and plan so that everything can run smoothly. They remember last year and how chaotic … Continue reading19 – Which strategy should Santa choose?
This year, Santa’s castle is abuzz with excitement as the elves enthusiastically participate in the inaugural Christmas Contest for Gingerbread House Baking. Each elf is putting forth their unique recipe for crafting this beloved sweet decoration. These recipes include specific … Continue reading18 – How stable is Mary Christmas’s gingerbread house recipe?
Remember the network at Candy-Workshop 3 of who follows whom: Keep in mind that if one elf follows another, the reverse does not necessarily apply. Also, if an elf follows another elf, it means that they take over the opinion … Continue reading17 – Who Knows What Happened Last Night in Candy-Workshop 3?
In the gift factory of the North Pole, many processes use vapor pressure to work.The vapor pressure is controlled by opening and closing a valve. In the past, this valve was controlled using a simple analog on/off controller. Unfortunately, this … Continue reading16 – How to fix the magical solution?
In Santa’s workshop, preparations are in full swing: gifts from all the different workshops arrive on a conveyor belt at the gift wrapping station, where the elves wrap them up. But there is a problem. When large, heavy gifts coe … Continue reading15 – Mission: Avoid gift congestion
