Yes. Firstly, as I indicated earlier, the output (downloaded image) must be in FITS format. Plate solving will not work with any other formats such as TIFF or RAW etc. With that out of the way...
The plate solve process is actually quite logical. The camera takes a picture of "any" area of the sky. When downloaded, the FITS format file header is updated with the telescope RA/DEC information. A camera control program (such as CCDSoft or MaximDL) then launches a plate solving engine. There are a few s/w developers that provide the engine integrated such as Bisque, while there are also some independent sorts such as PinPoint by Bob Denny. The camera control program makes reference calls to the plate solving engine which in turn begins looking up astrometry star data contained in one of many catalogues. Once a matching star field is acknowledged, the plate solving engine return back to the camera control program the precise RA/DEC (true image center), image position angle, etc which is inserted into the FITS format file header.
Now, at this point, all you've done is plate solve the image. Its up to the camera control program or supplemental program (such as CCDCommander, ACP, CCDAutoPilot) to now do something with this precise pointing information. The typical usage is to compare coordinates with the object entered and move the telescope the offset amount. This ensure the object enters is always centered on the chip. By the sounds of things, this is what you're after. You're telescope pointing needs to be reasonably accurate to begin with. If its not, the plate solving engine will have a hard time searching the catalogue for a match, thus delaying operations i.e supernova searches for example. Though there are developers allow the telescope to slew while the image is being downloaded and plates solved. This improves supernova search efficiencies. It should be noted that plate solving also has other uses such as focusing. FocusMax references the plate solved data to determine a star which is between -4 and -7 magnitude and above X degrees to perform a focus run on. This is important for camera controlled focusing (automation). IF a bright star is selected for focusing, it may saturation well depth and/or produce glare making FWHM calculations difficult. (Sorry about the deviation on the above re: focusing, alas its a valid example).
A note catalogues...Most catalogues are available to the general amateur. A sample listing can be found here -
http://www.stargazing.net/astropc/doc/ecatinfo.html
You typically need to download the catalogue, but some include it on the source CD or DVD to make it easier. Select a catalogue that works best for you. If you've got small FOV, use the USNO-A2.0 catalogue. It has the potential resolve stars even on very small FOV's. In most cases, it is possible to also use the Hubble GSC (Guide Star Catalogue) for these conditions. If you've got a wide field instrument, I'd recommend using the Hubble GSC. There is more than enough stars to plate solve on in GSC catalogue. The USNO-A2.0 is deep. I certainly can't use it with the FSQ (even when I alter the magnitude search limits in the plate solving engine) as the plate solve engine somehow tries to resolve 30,000 stars. Crazy.
Happy to answer any further questions.