% This example illustrates order reduction after realization (here % object-oriented realization) using the 1-D approach. The fact that % parameter commutativity is ignored is also illustrated. % Realization: lfrs d1 d2 S = [d1*d2;d1*d2]; % This object is equivalent to [1;1]*d1*d2 i.e. of minimum order 2. % The function for 1-D reduction is "minlfr1". By default it reduces % the order, first w.r.t. 1/s (empty block here), and then w.r.t. % the first, the second (and so on) uncertain parameter. Smin = minlfr1(S); % resulting in size(Smin) % Reduction with respect to the first uncertain parameter is not % found because d1 cannot be factorized on the right (commutativity % is ignored by "minlfr1"). % In order to apply 1-D reductions more than one time for each % parameter we must use an optional parameter ([2 3 2] below): Smin2 = minlfr1(S,[2 3 2]); % In the second argument, ordering starts from 1/s so, "2" stands % for the first uncertain parameter, "3" for the second one and so on. % So, 1-D reduction is performed respectively relative to d1, d2 and d1. % The result is: size(Smin2) % As expected, now, both factorizations are "found"