📄 damp.m
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function [wnout,z] = damp(a)
% DAMP Natural frequency and damping factor for continuous systems.
% [Wn,Z] = DAMP(A) returns vectors Wn and Z containing the
% natural frequencies and damping factors of A. The variable A
% can be in one of several formats:
%
% 1) If A is square, it is assumed to be the state-space
% "A" matrix.
% 2) If A is a row vector, it is assumed to be a vector of
% the polynomial coefficients from a transfer function.
% 3) If A is a column vector, it is assumed to contain
% root locations.
%
% When invoked without left hand arguments DAMP prints the
% eigenvalues with their natural frequency and damping factor in a
% tabular format on the screen.
%
% See also: EIG and DDAMP.
% J.N. Little 10-11-85
% Revised 3-12-87 JNL
% Revised 7-23-90 Clay M. Thompson
% Copyright (c) 1986-93 by the MathWorks, Inc.
[m,n] = size(a);
if (m == n)
r = esort(eig(a));
elseif (m == 1)
r = esort(roots(a));
elseif (n == 1)
r = a;
else
error('Must be a vector or a square matrix.');
end
wn = abs(r);
z = -cos(atan2(imag(r),real(r)));
if nargout==0, % Print results on the screen.
disp('')
disp(' Eigenvalue Damping Freq. (rad/sec)')
disp('')
disp([r,z,wn])
return % Suppress output
end
wnout = wn;
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