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the second important canonical form representation is observable canonical form uh we shall uh this this form is uh useful when you are going to design an observer for a system so how to construct how to obtain observable canonical form representation of this transfer function what we do is that we rewrite this transfer function in in other format simply we have divided both the numerator and the denominator with s Cube so s Cube divided by S cube is 1 so 9 s Square divided by S Cube that is 9 over s and likewise all other terms uh both in the denominator and in the numerator we have simply divided both the numerator and denominator with s Cube and then we have multiplied this denominator with the this y of s and brought this U of S to the to the right hand side of this equation to get this expression so that is also simple and then we further rearranged to write this equation in this particular format so this y of s multiplied by 1 this term is written over here and then you have this