Hi Orhan Koray ÇALIK,
I understand that you are using H_inf and mu-synthesis controller systems and you got the same controller system from the two different approaches.
Yes, it is possible to obtain the same controller systems when using H_inf and mu-synthesis techniques. Both H_inf control and mu-synthesis are robust control techniques that aim to design controllers that provide robust performance and stability guarantees in the presence of uncertainties and disturbances. Moreover mu-synthesis extends the methods of H_inf synthesis to design a robust controller.
Although the design methodologies and mathematical formulations of H_inf control and mu-synthesis are different, they share some similarities in terms of the underlying principles and objectives. Both techniques involve optimizing a cost function subject to certain constraints to achieve robust stability and performance.
I recommend you refer the following documentation links to know more about the same:
- https://in.mathworks.com/help/robust/ref/uss.musyn.html
- https://in.mathworks.com/help/robust/controller-synthesis.html
- https://in.mathworks.com/help/robust/mu-synthesis.html
I hope the answer addresses your queries.
