多种群遗传算法（matlab版本）优化PID参数

% REINS.M (RE-INSertion of offspring in population replacing parents) % % This function reinserts offspring in the population. % % Syntax: [Chrom, ObjVCh] = reins(Chrom, SelCh, SUBPOP, InsOpt, ObjVCh, ObjVSel) % % Input parameters: % Chrom - Matrix containing the individuals (parents) of the current % population. Each row corresponds to one individual. % SelCh - Matrix containing the offspring of the current % population. Each row corresponds to one individual. % SUBPOP - (optional) Number of subpopulations % if omitted or NaN, 1 subpopulation is assumed % InsOpt - (optional) Vector containing the insertion method parameters % ExOpt(1): Select - number indicating kind of insertion % 0 - uniform insertion % 1 - fitness-based insertion % if omitted or NaN, 0 is assumed % ExOpt(2): INSR - Rate of offspring to be inserted per % subpopulation (% of subpopulation) % if omitted or NaN, 1.0 (100%) is assumed % ObjVCh - (optional) Column vector containing the objective values % of the individuals (parents - Chrom) in the current % population, needed for fitness-based insertion % saves recalculation of objective values for population % ObjVSel - (optional) Column vector containing the objective values % of the offspring (SelCh) in the current population, needed for % partial insertion of offspring, % saves recalculation of objective values for population % % Output parameters: % Chrom - Matrix containing the individuals of the current % population after reinsertion. % ObjVCh - if ObjVCh and ObjVSel are input parameters, then column % vector containing the objective values of the individuals % of the current generation after reinsertion. % % Author: Hartmut Pohlheim % History: 10.03.94 file created % 19.03.94 parameter checking improved % 26.01.03 tested under MATLAB v6 by Alex Shenfield function [Chrom, ObjVCh] = reins(Chrom, SelCh, SUBPOP, InsOpt, ObjVCh, ObjVSel); % Check parameter consistency if nargin < 2, error('Not enough input parameter'); end if (nargout == 2 & nargin < 6), error('Input parameter missing: ObjVCh and/or ObjVSel'); end [NindP, NvarP] = size(Chrom); [NindO, NvarO] = size(SelCh); if nargin == 2, SUBPOP = 1; end if nargin > 2, if isempty(SUBPOP), SUBPOP = 1; elseif isnan(SUBPOP), SUBPOP = 1; elseif length(SUBPOP) ~= 1, error('SUBPOP must be a scalar'); end end if (NindP/SUBPOP) ~= fix(NindP/SUBPOP), error('Chrom and SUBPOP disagree'); end if (NindO/SUBPOP) ~= fix(NindO/SUBPOP), error('SelCh and SUBPOP disagree'); end NIND = NindP/SUBPOP; % Compute number of individuals per subpopulation NSEL = NindO/SUBPOP; % Compute number of offspring per subpopulation IsObjVCh = 0; IsObjVSel = 0; if nargin > 4, [mO, nO] = size(ObjVCh); if nO ~= 1, error('ObjVCh must be a column vector'); end if NindP ~= mO, error('Chrom and ObjVCh disagree'); end IsObjVCh = 1; end if nargin > 5, [mO, nO] = size(ObjVSel); if nO ~= 1, error('ObjVSel must be a column vector'); end if NindO ~= mO, error('SelCh and ObjVSel disagree'); end IsObjVSel = 1; end if nargin < 4, INSR = 1.0; Select = 0; end if nargin >= 4, if isempty(InsOpt), INSR = 1.0; Select = 0; elseif isnan(InsOpt), INSR = 1.0; Select = 0; else INSR = NaN; Select = NaN; if (length(InsOpt) > 2), error('Parameter InsOpt too long'); end if (length(InsOpt) >= 1), Select = InsOpt(1); end if (length(InsOpt) >= 2), INSR = InsOpt(2); end if isnan(Select), Select = 0; end if isnan(INSR), INSR =1.0; end end end if (INSR < 0 | INSR > 1), error('Parameter for insertion rate must be a scalar in [0, 1]'); end if (INSR < 1 & IsObjVSel ~= 1), error('For selection of offspring ObjVSel is needed'); end if (Select ~= 0 & Select ~= 1), error('Parameter for selection method must be 0 or 1'); end if (Select == 1 & IsObjVCh == 0), error('ObjVCh for fitness-based exchange needed'); end if INSR == 0, return; end NIns = min(max(floor(INSR*NSEL+.5),1),NIND); % Number of offspring to insert % perform insertion for each subpopulation for irun = 1:SUBPOP, % Calculate positions in old subpopulation, where offspring are inserted if Select == 1, % fitness-based reinsertion [Dummy, ChIx] = sort(-ObjVCh((irun-1)*NIND+1:irun*NIND)); else % uniform reinsertion [Dummy, ChIx] = sort(rand(NIND,1)); end PopIx = ChIx((1:NIns)')+ (irun-1)*NIND; % Calculate position of Nins-% best offspring if (NIns < NSEL), % select best offspring [Dummy,OffIx] = sort(ObjVSel((irun-1)*NSEL+1:irun*NSEL)); else OffIx = (1:NIns)'; end SelIx = OffIx((1:NIns)')+(irun-1)*NSEL; % Insert offspring in subpopulation -> new subpopulation Chrom(PopIx,:) = SelCh(SelIx,:); if (IsObjVCh == 1 & IsObjVSel == 1), ObjVCh(PopIx) = ObjVSel(SelIx); end end % End of function