Linear system control with unmatched uncertainties

[rainycc]

Hi everyone, I have a problem about linear system control with unmatched uncertainties, the system is \dot{e}=Ae+Bu+w
where \dot means differentail sign, u is the control input, w is the disturbance, A is already Hurwitz, is there any way to design u such that the disturbance w can be offset. thank you very much!​

 

[jvicens]

Hello there,

Thank you for sharing your problem about linear system control with unmatched uncertainties. It sounds like you are dealing with a challenging situation, but I am confident that there are ways to address it.

One approach you can take is to use robust control techniques. These methods are specifically designed to handle uncertainties in the system and disturbances. One commonly used method is H-infinity control, which aims to minimize the effect of disturbances on the system.

In order to design a controller that can offset the disturbance w, you will need to have a good understanding of the system dynamics and the characteristics of the disturbance. This will allow you to design a controller that can effectively compensate for the disturbance and stabilize the system.

Another approach you can consider is using adaptive control techniques. These methods involve continuously adjusting the control input u in response to changes in the system and disturbances. This can help to mitigate the effects of the disturbances and improve the overall performance of the system.

I would also recommend consulting with other experts in the field and possibly conducting further research on control techniques that are specifically designed for systems with unmatched uncertainties. I hope this helps and good luck with your project!