reading my old copy of 'Modern Control Engineering' by Ogata, 1970, (ok, no longer 'modern'), pg 117 describes a method of multivariable control using a 'transfer matrix' of Laplace transfer functions where Gij(s) is the transfer function from ith input to jth output.

Would this be practical to actually implement? Assuming I could model each Gij(s) as a simple 2nd order function, and only need 10Hz response, and have 5 inputs (thermocouples) and 5 outputs (heaters), could one DSP physically handle the Z transform matrix inversions in

10Hz realtime?Or, is there a simpler way?

tia!