sos.m

国外专家做的求解LMI鲁棒控制的工具箱,可以相对高效的解决LMI问题

function X=sos(X,r)
%SOS Declare sum-of-squares structure
%
% F = set(sos(p),r)
%
% Input
%  p : SDPVAR object
%  r : Desired rank (optional)
% Output
%  F : SET object
%
% Example:
%  Typical usage is
%
%   F = set(sos(p))
%
%  An experimental feature is to search for
%  low rank decompositions. To search for a 
%  decomposition using at most 3 terms, use
%  a second argument
%
%   F = set(sos(p,3))
%
%  Note that his feature requires the solver LMIRANK.   
%
% See also SOSEX 

% Author Johan L鰂berg 
% $Id: sos.m,v 1.4 2005/07/20 08:31:20 joloef Exp $  

if X.n>1 | X.m>1
    error('SOS can only be applied to scalar polynomial objects.');
end
if nargin<2
    r = inf;
end    
X.typeflag = 11;
X.extra.sosid = yalmip('sosid');
X.extra.rank = r;