I have problem with my new PSP FAT , the analog direction somtimes is move by itself !! ( i cant play games correctly, my character would always drift to the left
) new one and versy fast problem , what this i try to search in internet , then i find intrested thing :
if you read PSP manual in page 20 , you can see this : "For best results, go to Settings/System Settings, and then with the System Information screen displayed, rotate the analog stick in a circular motion. This will adjust the analog stick's range of movement "

I try it , and i can confirm is 100/100 work ; the anlog is now correctly done , i have no longer problem again , dont need to open PSP just try this ;)