Routh's array in symbolic way
[M L] = routh_hurwitz(P,N)
This function gives the Routh's array from a numerical or SYMBOLIC polynomial and includes two special cases: (1) the first element of the row is zero; (b) a row of zeros.
P Numerical or symbolic array of coeficients. In the case of symbolic variables it is necesarry to define them as: >> syms a b c ...
N Digits to be considered zero a number. E.g, for N=5, 10^(-5) is considered a zero. By default, N=10
M Routh's array without any simplification (e.g., with epsilon notation)
L Simplified first column of Routh's array with simplification (e.g., using the limit when epsilon tends to zero) that determines the number of roots in the right-half of the s-plane: the number of changes of signs in L
Examples:
1. [M, L]=routh_hurwitz([1 0 2 3 4])
2. syms a b c d K; [M, L]=routh_hurwitz([1 b c d+a*K])
3. syms k; [M, L]=routh_hurwitz([1 k 1 1])
4. [M, L]=routh_hurwitz([1 -3 -15 -9 -58 12 72])
5. syms a; [M, L]=routh_hurwitz([1 0 2 3 a])
Developed by Carlos M. Vélez S., cmvelez@eafit.edu.co
http://sistemascontrol.wordpress.com/
EAFIT University, http://www.eafit.edu.co
Medellín, Antioquia, Colombia
November 24th 2011
Citar como
Carlos M. Velez S. (2024). Routh's array in symbolic way (https://www.mathworks.com/matlabcentral/fileexchange/33926-routh-s-array-in-symbolic-way), MATLAB Central File Exchange. Recuperado .
Compatibilidad con la versión de MATLAB
Compatibilidad con las plataformas
Windows macOS LinuxCategorías
Etiquetas
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Descubra Live Editor
Cree scripts con código, salida y texto formateado en un documento ejecutable.