基于PSO优化算法实现三维曲面极点搜索matlab仿真,含仿真操作录像

function [pso F] = pso() pop_size = 10; % pop_size part_size = 2; % partible_size , ** =n-D gbest = zeros(1,part_size+1); % gbest the best value so far max_gen = 80; % max_gen max generation region=zeros(part_size,2); % define searching regions region=[-1,1;-1,1]; % define the size of regions rand('state',sum(100*clock)); % reset the state of random machine arr_present = ini_pos(pop_size,part_size); % present position, random initialization,rand() from 0~1 v=ini_v(pop_size,part_size); % initialized velocity pbest = zeros(pop_size,part_size+1); % pbest the best result, last column contain the parameter as well w_max = 0.9; % w_max maximum of weight w_min = 0.4; % w_min minumum of weitht v_max = 2; % ** maximum of velocity c1 = 2; % learning parameter 1 c2 = 2; % learning parameter 2 best_record = zeros(1,max_gen); % best_record remember the best particle's parameters % ———————————————————————— % Calulate the paricles affinity and initialization % ———————————————————————— arr_present(:,end)=ini_fit(arr_present,pop_size,part_size); pbest = arr_present; %initialized all best value for particles [best_value best_index] = min(arr_present(:,end)); %initialize the global optima gbest = arr_present(best_index,:); x=[-1:0.01:1]; y=[-1:0.01:1]; z=@(x,y) cos(2 * pi .* x) .* cos(2 * pi .* y) .* exp(-0.1 * (x.^2 + y.^2)); for i=1:max_gen grid on; ezmesh(z,[-1,1,-1,1]),hold on,grid on,plot3(arr_present(:,1),arr_present(:,2),arr_present(:,3),'*'),hold off; drawnow F(i)=getframe; pause(0.01); % m(:,i) = getframe; % w = w_max-(w_max-w_min)*i/max_gen; reset = 0; % reset = 1 if reset==1 bit = 1; for k=1:part_size bit = bit&(range(arr_present(:,k))<0.1); end if bit==1 % bit=1, reset position and velocity arr_present = ini_pos(pop_size,part_size); % present position v = ini_v(pop_size,part_size); % velocity initialization for k=1:pop_size % re-calculate affinity arr_present(k,end) = fitness(arr_present(k,1:part_size)); end warning('Reset particle because they already converged……'); display(i); end end for j=1:pop_size v(j,:) = w.*v(j,:)+c1.*rand.*(pbest(j,1:part_size)-arr_present(j,1:part_size))... +c2.*rand.*(gbest(1:part_size)-arr_present(j,1:part_size)); % renew velocity (a) % The abs(velocity) must <5———————————————————————————— c = find(abs(v)>6); v(c) = sign(v(c))*6; %if v>3.14则，v=3.14 arr_present(j,1:part_size) = arr_present(j,1:part_size)+v(j,1:part_size); % renew position (b) arr_present(j,end) = fitness(arr_present(j,1:part_size)); if (arr_present(j,end)>pbest(j,end))&(Region_in(arr_present(j,:),region)) % renew pbest pbest(j,:) = arr_present(j,:); end end [best best_index] = max(arr_present(:,end)); if best>gbest(end)&(Region_in(arr_present(best_index,:),region)) % if the result better than before, save to gbest gbest = arr_present(best_index,:); end best_record(i) = gbest(end); end pso = gbest; display(gbest); figure; plot(best_record); % movie2avi(F,'pso_2D1.avi','compression','MSVC'); function fit = fitness(present) fit=cos(2 * pi .* present(1)) .* cos(2 * pi .* present(1)) .* exp(-0.1 * (present(1).^2 + present(2).^2)); function ini_present=ini_pos(pop_size,part_size) ini_present = 3*rand(pop_size,part_size+1); %initialized particles positions, randomly separate them in the region %** 6即为自变量范围 function ini_velocity=ini_v(pop_size,part_size) ini_velocity =3/2*(rand(pop_size,part_size)); %initialized particles velocity, randomly separate them in the region function flag=Region_in(pos_present,region) [m n]=size(pos_present); flag=1; for j=1:n-1 flag=flag&(pos_present(1:j)>=region(j,1))&(pos_present(1:j)<=region(j,2)); end function arr_fitness=ini_fit(pos_present,pop_size,part_size) for k=1:pop_size arr_fitness(k,1) = fitness(pos_present(k,1:part_size)); %calculate the initial population affinity end