Try this
lb = 0; % initial upper bound
ub = 1; % initial lower bound
n = 10; % number of random point in each interval
x = {}; % cell array forr random numbers in each interval
count = 1;
while (ub-lb)>0
x{count} = rand(1, n)*(lb-ub) + ub;
lb = lb + 0.01; % increase the lowerr bound
ub = ub - 0.01; % decrease the lowerr bound
count = count + 1;
end
y = [x{:}]; % all random numbers
