Easy Explanation of Controllable Canonical Form - Control Engineering Tutorial

#controlengineering #controltheory #controlsystems #machinelearning #reinforcementlearning #mechatronics #robotics #electricalengineering #mechanicalengineering #observability #controllability #robotics #roboticseducation #roboticsengineering
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In this video, we explain how to derive a controllable canonical state-space form of a dynamical system. In this form, the state-space model is controllable. This form is also called reachable canonical form and control canonical form. The controllable canonical form is important since it can be used to easily assign the closed-loop poles of a dynamical system with very little computational effort. Also, in this video, we explain how to derive a block diagram of the controllable canonical state-space model.

[@irvingchen1460]

Thanks a lot❤ you saved my midterm.

[@aleksandarhaber]

Glad it helps!

[@jean-paulmalan8608]

This is awesome. Thank you!

[@aleksandarhaber]

Thank you for the comment and interest!

[@timothyparker9889]

How do you find a1, a2, a3, etc?

[@aleksandarhaber]

Unfortunately, due to our very busy schedule, except for providing these free tutorials, we do not have time and energy to provide answers to particular questions on TH-cam.

[@hydropage2855]

They’re just characteristics of the system itself. For example, if this was a second order system like a mass on a spring, its main equation is ay’’ + by’ + c = F(t)
And depending on how much damping, how much mass on the spring, the spring coefficient, etc, you find a, b, c

[@ManuelMar-z7d]

What is the reference you use for this explanation? Any book or slides from a university that you use?

[@aleksandarhaber]

Why do I need to use a reference? Do you know with whom you are speaking with?

[@karamany9870]

Bro HE is the reference.

[@aleksandarhaber]

It takes a significant amount of time and energy to create these free video tutorials. You can support my efforts in this way:
- Buy me a Coffee: www.buymeacoffee.com/AleksandarHaber
- PayPal: www.paypal.me/AleksandarHaber
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- You Can also press the Thanks TH-cam Dollar button