Which algorithm is used in the isproper function to reduce the number of states?

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Tobias 2018-5-14

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回答： Yoke Peng Leong 2018-5-18

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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Answer 1

Yoke Peng Leong 2018-5-18

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The specific implementation is proprietary. However, at high level, it involves eliminating pole/zero cancellations at infinity using a form of staircase algorithm.