cpole2k.m

离散控制系统设计的MATLAB 代码

function  y = cpole2k(cp,res,dtime)
%        Performs inverse z transform for two complex 
%        conjugate poles and generates a discrete-time 
%        function. 
%Inputs: cp - complex pole, having POSITIVE imaginary part
%        res - residue at the complex pole
%        dtime - discrete-time vector [0 1 2...kmax]
%Output: y - discrete-time response vector
% 
%        The response is computed as 
%        y(t) = 2 * real part [res * cp^k]
%               where k is the discrete-time variable

%%%%%%%%%%%%%%%%%%% cpole2k.m %%%%%%%%%%%%%%%%%%%
%   Discrete-Time Control Problems using        %
%       MATLAB and the Control System Toolbox   %
%   by J.H. Chow, D.K. Frederick, & N.W. Chbat  %
%         Brooks/Cole Publishing Company        %
%                September 2002                 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%- form the complex time function for one pole and 
%       take 2 * real part to get y(k)
temp = 0*dtime;
temp(1) = res;
for kk = 2:length(dtime),
   temp(kk) = temp(kk-1)*cp;
end

y = 2 * real(temp);
%%%%%%%%%%