L15 State Controllability and state observability, Kalman test for their investigation

[@mastermind7843]

Thank you so much sir 😊

[@aniketkhandekar3569]

Thanks and welcome

[@vishalkhuttan8744]

Thank You So Much Sir.....🙏🙏🙇🙇

[@aniketkhandekar3569]

Most welcome

[@conormacgregor4832]

Sir what will we do in the determinant of the controllability matrix or observability matrix is zero

[@aniketkhandekar3569]

If the determinant of the controllability matrix or observability matrix is zero then the system is not state controllable and not state observable respectively

[@Unkn0wn_gaming0-y1d]

Sir how to know the rank ???

[@aniketkhandekar3569]

Here we are not interested in finding rank of the matrix. Our interest is to check whether rank of matrix is equal to number of rows in the matrix or not? This can be checked by finding its determinant as done in the video. To find the rank, you need to convert the matrix to normal form and then get the rank.

[@callmesasuke8341]

Sir at 31:01 it should be -3 na?

[@aniketkhandekar3569]

No. It is correct. Please see how to solve 3 by 3 determinant.

[@callmesasuke8341]

@@aniketkhandekar3569 yes sir i saw, we have to take + - +. Thank you sir.

[@conormacgregor4832]

Sir please explain tomorrow is my exam

[@aniketkhandekar3569]

Explained