MATLAB: Dimension of the matrices in state space

dimensionexternal disturbancesimulinkstate-space

Hey all, I have a question related to state space matrices dimension. As we know that, x_dot = Ax + Bu If the disturbance is included, the state space equation can be rewrite as: x_dot = Ax + Bu + d Let A to be a matrix with size (9×9) and B to be a matrix with size (9×6), what should be the size of d? I faced some difficulties to implement the disturbance in my Simulink.

Best Answer

'd' will have dimensions of 9x1. Look at it this way. 'Ax' is 9x1, 'Bu' is 9x1. So to add d in these vectors, it also needs to be 9x1.
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