zero(sys) computes the zeros of SISO systems and the transmission zeros of MIMO systems. For a MIMO system with matrices , the transmission zeros are the complex values for which the normal rank of

drops.

If sys has internal delays, all internal delays are set to zero (creating a zero-order Padé approximation) so that the system has a finite number of zeros. For some systems, setting delays to 0 creates singular algebraic loops, which result in either improper or ill-defined, zero-delay approximations. For these systems, zero returns an error. This error does not imply a problem with the model sys itself.

z = zero(sys) returns the (transmission) zeros of the LTI model sys as a column vector.

[z,gain] = zero(sys) also returns the gain (in the zero-pole-gain sense) if sys is a SISO system.

Algorithm

For MIMO systems, zero is based on SLICOT routines AB08ND, AG08BD, and AB08NX, and implements the algorithm in [1].

References

[1] Emami-Naeini, A. and P. Van Dooren, "Computation of Zeros of Linear Multivariable Systems," Automatica, 18 (1982), pp. 415-430.

zero - Transmission zeros of LTI model

Syntax

Description

Algorithm

References

See Also

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