【优化求解】一种非线性动态自适应惯性权重PSO算法(IPSO)Matlab代码

一种非线性动态自适应惯性权重PSO算法(IPSO)Matlab代码

[1]王生亮,刘根友.一种非线性动态自适应惯性权重PSO算法[J].计算机仿真,2021,38(04):249-253+451.

部分代码：

function [gbest,gbestval,fitcount]= CLPSO_new_func(fhd,Max_Gen,Max_FES,Particle_Number,Dimension,VRmin,VRmax,varargin)
%[gbest,gbestval,fitcount]= CLPSO_new_func('f8',3500,200000,30,30,-5.12,5.12)
rand('state',sum(100*clock));
me=Max_Gen;
ps=Particle_Number;
D=Dimension;
cc=[1 1];   %acceleration constants
t=0:1/(ps-1):1;t=5.*t;
Pc=0.0+(0.5-0.0).*(exp(t)-exp(t(1)))./(exp(t(ps))-exp(t(1)));
% Pc=0.5.*ones(1,ps);
m=0.*ones(ps,1);
iwt=0.9-(1:me)*(0.7/me);
% iwt=0.729-(1:me)*(0.0/me);
cc=[1.49445 1.49445];
if length(VRmin)==1
    VRmin=repmat(VRmin,1,D);
    VRmax=repmat(VRmax,1,D);
end
mv=0.2*(VRmax-VRmin);
VRmin=repmat(VRmin,ps,1);
VRmax=repmat(VRmax,ps,1);
Vmin=repmat(-mv,ps,1);
Vmax=-Vmin;
pos=VRmin+(VRmax-VRmin).*rand(ps,D);

for i=1:ps;
    e(i,1)=feval（fhd,pos(i,:),varargin{:});
end

fitcount=ps;
vel=Vmin+2.*Vmax.*rand(ps,D);%initialize the velocity of the particles
pbest=pos;
pbestval=e; %initialize the pbest and the pbest's fitness value
[gbestval,gbestid]=min(pbestval);
gbest=pbest(gbestid,:);%initialize the gbest and the gbest's fitness value
gbestrep=repmat(gbest,ps,1);

stay_num=zeros(ps,1);

ai=zeros(ps,D);
f_pbest=1:ps;f_pbest=repmat(f_pbest',1,D);
for k=1:ps
    ar=randperm(D);
    ai(k,ar(1:m(k)))=1;
    fi1=ceil(ps*rand(1,D));
    fi2=ceil(ps*rand(1,D));
    fi=(pbestval(fi1)<pbestval(fi2))'.*fi1+(pbestval(fi1)>=pbestval(fi2))'.*fi2;
    bi=ceil(rand(1,D)-1+Pc(k));
    if bi==zeros(1,D),rc=randperm(D);bi(rc(1))=1;end
    f_pbest(k,:)=bi.*fi+(1-bi).*f_pbest(k,:);
end

stop_num=0;
i=1;


while i<=me&fitcount<=Max_FES
    i=i+1;
    for k=1:ps

        if stay_num(k)>=5
            %     if round(i/10)==i/10%|stay_num(k)>=5
            stay_num(k)=0;
            ai(k,:)=zeros(1,D);
            f_pbest(k,:)=k.*ones(1,D);
            ar=randperm(D);
            ai(k,ar(1:m(k)))=1;
            fi1=ceil(ps*rand(1,D));
            fi2=ceil(ps*rand(1,D));
            fi=(pbestval(fi1)<pbestval(fi2))'.*fi1+(pbestval(fi1)>=pbestval(fi2))'.*fi2;
            bi=ceil(rand(1,D)-1+Pc(k));
            if bi==zeros(1,D),rc=randperm(D);bi(rc(1))=1;end
            f_pbest(k,:)=bi.*fi+(1-bi).*f_pbest(k,:);
        end

        for dimcnt=1:D
            pbest_f(k,dimcnt)=pbest(f_pbest(k,dimcnt),dimcnt);
        end
        aa(k,:)=cc(1).*(1-ai(k,:)).*rand(1,D).*(pbest_f(k,:)-pos(k,:))+cc(2).*ai(k,:).*rand(1,D).*(gbestrep(k,:)-pos(k,:));%~~~~~~~~~~~~~~~~~~~~~~
        vel(k,:)=iwt(i).*vel(k,:)+aa(k,:);
        vel(k,:)=(vel(k,:)>mv).*mv+(vel(k,:)<=mv).*vel(k,:);
        vel(k,:)=(vel(k,:)<(-mv)).*(-mv)+(vel(k,:)>=(-mv)).*vel(k,:);
        pos(k,:)=pos(k,:)+vel(k,:);

        if (sum(pos(k,:)>VRmax(k,:))+sum(pos(k,:)<VRmin(k,:)))==0;
            e(k,1)=feval（fhd,pos(k,:),varargin{:});
            fitcount=fitcount+1;
            tmp=(pbestval(k)<=e(k));
            if tmp==1
                stay_num(k)=stay_num(k)+1;
            end
            temp=repmat(tmp,1,D);
            pbest(k,:)=temp.*pbest(k,:)+(1-temp).*pos(k,:);
            pbestval(k)=tmp.*pbestval(k)+(1-tmp).*e(k);%update the pbest
            if pbestval(k)<gbestval
                gbest=pbest(k,:);
                gbestval=pbestval(k);
                gbestrep=repmat(gbest,ps,1);%update the gbest
            end
        end

    end

    % if round(i/100)==i/100
    %     plot(pos(:,D-1),pos(:,D),'b*');hold on;
    %     for k=1:floor(D/2)
    %         plot(gbest(:,2*k-1),gbest(:,2*k),'r*');
    %     end
    %     hold off
    %     title(['PSO: ',num2str(i),' generations, Gbestval=',num2str(gbestval)]);
    %     axis([VRmin(1,D-1),VRmax(1,D-1),VRmin(1,D),VRmax(1,D)])
    %     drawnow
    % end

    if fitcount>=Max_FES
        break;
    end
    if (i==me)&(fitcount<Max_FES)
        i=i-1;
    end
end
gbestval