Look here, a thrust vectoring kit for scale rockets: https://bps.space/products/signal-r2

 

Look here, a thrust vectoring kit for scale rockets: https://bps.space/products/signal-r2

bps.space is the person the TS rejected earlier as “not professional” because he uses “Arduinos”.

 

Hi,
Instinctively, I think of canard control.
C

 

Unfortunately this project sounds way too much like a much improved compressed air mortal shell delivery system I created 60 years ago. Those projectiles spun quite well and the arrival point was adequately predictable. The good news for society, both human and animal, is that the design was never released, nor were the prototypes, either.
The huge but not mentioned problem with a rocket of any size that goes "straight up" is that it usually comes fairly near to straight down, most often at a rather high velocity, if it does not translate to a tumbling flight mode. In any case it is a serious hazard to everything on the ground.

Consider that if there is not much resistance due to tumbling, that a smoothly falling rocket will accellarate close to 16 ft/second per second. so after only ten seconds that is close to 160 ft/ second.

 

In any case it is a serious hazard to everything on the ground.

"Missile reliability will require that the target area is more dangerous than the launch area." Attributed to von Braun during the development..

 

ATSAMD21 is not an Arduino MCU and can run up to 96 MHz, usually on 48 MHz. It can use DSP quaternion library too.

I just need to know the code for dual quaternion sliding mode to control the flight stability and get the right PID coefficients by MATLAB & Simulink.

The SAMD21 board can be programmed with thr Arduino IDE. Just to illustrate a point of the differences in the Arduino environment. There is the ubiquitous Uno, other Arduino development boards and the general IDE and more.