padecoef

Computes the Pade approximation of time delays.

📝 Syntax

• [numerator, denominator] = padecoef(T, N)

• [numerator, denominator] = padecoef(T)

📥 Input argument

• T - Time delay: a scalar real positive.

• N - Order of approximation: a scalar real positive (default N = 1).

📤 Output argument

• numerator - polynomials of order N: rows vector.

• denominator - polynomials of order N: rows vector.

📄 Description

padecoef(T, N) computes the Nth-order Padé Approximation for the continuous-time delay system represented by the exponential term exp(-T*s) and returns it in the form of a transfer function.

📚 Bibliography

http://en.wikipedia.org/wiki/Pad%C3%A9_approximant and Golub and Van Loan, Matrix Computations, Johns Hopkins University Press (Third edition, page 562).

💡 Example

T = 2; N = 4;
[numerator, denominator] = padecoef(T, N)

🔗 See also

tf.

🕔 History

Version	📄 Description
1.0.0	initial version