Which algorithm is used in the isproper function to reduce the number of states?
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The isproper function in Matlab can transform a descriptor state space model:
E*Dx = A*x + B*u
y=C*x + D*u
with a singular Matrix E into an equivalent model with fewer states and a non-singular E matrix. How is this transformation from a DAE to an ODE achieved? Which algorithm is used?
Thanks for considering my question.
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Yoke Peng Leong
am 18 Mai 2018
The specific implementation is proprietary. However, at high level, it involves eliminating pole/zero cancellations at infinity using a form of staircase algorithm.
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