SMA NON ADHERENCE TO ATC INSTRUCTIONS HAD NMAC WITH LTT ON FINAL APCH.

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I WAS WORKING LCL/GND CTL COMBINED. A BEECH SIERRA INBOUND FOR RWY 26R. A CESSNA 172 ON A DOWNWIND TOUCH- AND-GO RWY 26R. RWY 26L CLOSED. A CITATION CHKS IN R BASE RWY 17. I CLRED THE CITATION TO HAND RWY 17; HOLD SHORT RWY 8L. WIND 1407 RWY CHANGE INITIATED. BEECH SIERRA REQUESTS RWY 17. THE BEECH SIERRA IS TOLD TO ENTER L DOWNWIND RWY 17. I WILL CALL YOUR BASE TFC YOU'RE FOLLOWING A CITATION ON A 7 MI R BASE. ACFT ACKNOWLEDGED. THE TOUCH AND GO CESSNA WAS TOLD TO REENTER A DOWNWIND RWY 8L; RWY 8L CLRED TOUCH AND GO. ISSUED TFC TO BEECH SIERRA. NO RESPONSE. ASKED THE BEECH SIERRA HOW DO YOU HEAR. NO REPLY. I CANCELED THE CITATIONS HOLD SHORT CLRNC AND ADVISED HIM THAT TFC AHEAD AND TO THE L WOULD FOLLOW HIM. THEN TOLD THE CITATION TO TURN TOWARD THE ARPT. TOLD THE BEECH SIERRA BASE LEG HIS DISCRETION; #2 FOLLOW THE CITATION ON A 1 1/2 R BASE. NO REPLY; I THEN OBSERVED THE BEECH SIERRA TURN FINAL TOWARD THE CITATION. I ISSUED A TFC ALERT TO THE CITATION; TOLD HIM TO TURN L OR R. TFC APPEARS TO BE TURNING FINAL. THE BEECH SIERRA KEYS IN FAINTLY 'ON FINAL.' I TRIED TO RAISE THE BEECH SIERRA; NO RESPONSE. I HAD THE CITATION MAINTAIN HIS PRESENT ALT AND THE TFC WOULD PASS BELOW HIM. SUBSEQUENTLY I WAS ABLE TO RAISE THE BEECH SIERRA. THEY SAID THEY WERE ON A HAND- HELD RADIO NOW AND WERE HAVING RADIO PROBS. I ISSUED LNDG CLRNC TO THE BEECH SIERRA. IT TOOK 3 TRIES TO GET A RESPONSE. I SEQUENCED THE CITATION #2.