C182 ENTERED AN ADJACENT FACILITY'S AIRSPACE WITHOUT COORD OR HDOF AFTER RPTR LOST RADAR CONTACT WITH THE ACFT AND AN ATTEMPTED VERBAL HDOF.

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I HAD RELIEVED THE CTLR AT THE APCH/DEP RADAR SCOPE. WE WERE ON CENRAP SINCE ROCKFORD'S RADAR WAS OTS. A C182 WAS AN OVERFLT THROUGH MY AIRSPACE FROM VICINITY OF ROCKFORD ARPT TO MKE AT 7000 FT. I HAD ACCEPTED ONE HDOF ON AN ACFT FROM ZAU; LOVE ROCK SECTOR. THAT HS125 WAS DSNDING TO 6000 FT. I LOST THE DATA BLOCK AND RADAR ON THE ACFT. I WAS CONCERNED ABOUT HIS POS AND ALT; SO TOLD HIM TO PROCEED DIRECT JVL VORTAC; DUE TO ANOTHER ACFT IN HIS VICINITY; IFR; SBOUND AT 6000 FT SEPARATED; BUT ON CONVERGING COURSES. I VECTORED THE C182 090 DEGS. THE HS125 RPTED OVER JVL AT 6000 FT; SO I INSTRUCTED THE CESSNA TO RESUME OWN NAV ON COURSE TO MKE. I BECAME BUSY WITH SPLITTING OFF THE W PORTION OF RFD AIRSPACE TO THE W RADAR CTLR. THE C182'S DATA BLOCK AND RADAR WAS LOST. I NOTICED THE C182 WAS 5 MI INTO MKE APCH'S AIRSPACE. I CALLED MKE ON THE SHORT LINE TO AFFECT A HDOF; WITH NO RESPONSE. AT THE SAME TIME I INITIATED AN AUTOMATED HDOF. MKE ACCEPTED THE HDOF. THE C182 ENTERED MKE'S AIRSPACE WITHOUT A HDOF DUE TO LOSS OF RADAR ON THE ACFT; THE ADDITIONAL WORKLOAD DUE TO POOR RADAR; THE FACT HE WAS ON A FREQ NO LONGER BEING USED BY ME; AND THAT WE WERE DOING A POS BRIEFING TO OPEN A SECOND RADAR POS. THE FLT DATA PERSON HAD BEEN TRAINING ON THAT POS; BUT CLOSED FLT DATA TO OPEN THE NEXT RADAR POS. A FLT DATA PERSON WAS NEEDED DURING THE TRANSITION. AFTERWARDS CENRAP WAS DETERMINED TO BE UNUSABLE AND RFD SECONDARY RADAR WAS RETURNED FOR OUR USE.