For controlling / using a receiver directly from HDSDR you need to install the receiver's ExtIO DLL.
Visit your receiver's website (see below!) and get the appropriate DLL file archive (ZIP).
Most sites refer the DLL as "Winrad ExtIO". It will be compatible with HDSDR.
Unpack all files from that archive into the installation directory of HDSDR
f.e. C:\Program Files (x86)\HDSDR\.


AFEDRI SDR http://4z5lv.net/index.php/downloads/category/4-sdr-control-software
easySDR http://microsat.com.pl/product_info.php?cPath=24&products_id=35/
Elektor http://home.gjk4all.net/winrad-dll/
Fernempfangsradio http://www.fernempfangsradio.de/SoftwareFernempfangsradio.html
FUNcube Dongle (FCD) http://www.hdsdr.de/download/ExtIO_FCD_G0MJW.ZIP
Hamlib V1.5 08/2011 (for many hardware) http://www.hdsdr.de/download/ExtIO_Hamlib.zip
HPSDR (Atlas, Ozy, Mercury) http://www.hdsdr.de/download/ExtIO_HPSDR_I2PHD.zip
Pappradio http://www.pappradio.de/typo3/index.php?id=60
Perseus Receiver http://www.microtelecom.it/perseus/software.html
PM-SDR http://www.iw3aut.altervista.org/downloads.htm
QS1R http://www.philcovington.com/qs1r_latest/WINRAD/
RFHamFox 1 http://www.rfham.com
SCR Preselector http://herostechnology.co.uk/pages/products.html
SDR-IQ / SDR-14 http://www.sdradio.eu/weaksignals/bin/SDR14-IQ.zip
Soft66 http://webs.ono.com/ea2bqh/ExtIO.zip
Softrock with Si570 http://home.ict.nl/~fredkrom/pe0fko/ExtIO_Si570/

Please report not listed but functional ExtIOs to keep the above list complete.