Rev | Line | |
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[37] | 1 | function F = projection(F,x,method) |
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| 2 | % REDUCE Removes redundant constraints using MPT |
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| 3 | % |
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| 4 | % Freduced = reduce(F) |
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| 5 | % |
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| 6 | % F : Polytopic SET object |
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| 7 | % |
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| 8 | % See also POLYTOPE, PROJECTION |
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| 9 | |
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| 10 | % Author Johan Löfberg |
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| 11 | % $Id: reduce.m,v 1.3 2005/02/04 10:10:27 johanl Exp $ |
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| 12 | |
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| 13 | f = []; |
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| 14 | for i = 1:length(F) |
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| 15 | if F.clauses{i}.type==2 |
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| 16 | fi = F.clauses{i}.data; |
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| 17 | f = [f;fi(:)]; |
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| 18 | else |
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| 19 | error('Only linear element-wise inequalities can be reduced') |
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| 20 | end |
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| 21 | end |
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| 22 | |
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| 23 | if ~islinear(F) |
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| 24 | error('Only linear element-wise inequalities can be reduced') |
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| 25 | end |
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| 26 | |
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| 27 | B = full(getbase(f)); |
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| 28 | P = polytope(-B(:,2:end),B(:,1)); |
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| 29 | |
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| 30 | x_vars = getvariables(F); |
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| 31 | x = recover(x_vars); |
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| 32 | |
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| 33 | H = get(P,'H'); |
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| 34 | K = get(P,'K'); |
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| 35 | |
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| 36 | F = set(H*x < K); |
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