A BE20 flight crew experienced a fuel controller failure and landed at destination after shutting down the engine.

Narrative

During the climbout to FL180; I notice the left engine torque; N1; and fuel flow were fluctuating a little. I mentioned to my Copilot that we should watch it. We were climbing through flight level 140 and we asked for direct destination and when told them we had a fuel controller problem and would like to get priority handling to destination; they granted us our request. We were now level FL180 and got the emergency checklist out and reviewed it in the advent of an engine failure. My Copilot was on the other radio listening to ATIS while I was monitoring the engine gauges. The right engine was at 2;100 LBS of torque and the left would drop from 1;800 LBS down to 1;500 LBS and surge back to 1;700-1;800 LBS. This went on for about five minutes; then the left engine failed. I made sure the engine feathered; I told my Co-pilot to call Center and tell then we had an engine failure and requested again for priority handling to destination. I pulled the left prop to the feathered position and ask him to read the engine failure checklist when he had time. ATC asked us how much fuel and we told them 2;000 LBS. They asked if we would need ground assistance and we told them yes. I went ahead and secured the left engine and confirmed everything that my Copilot was reading to me on the checklist. The right engine was already within 100 LBS of max torque; so we pushed the right prop up to 1;800 RPM. I told our passengers that we had an engine failure and the plane would fly fine on one engine. ATC gave us a lower altitude; I said we would like to stay up as long as possible. That did not last long and we were asked to start our descent. I left the right engine power up during the descent. Center handed us over to Approach. We were given step down altitudes till we were cleared to intercept the final approach course for the ILS. I told my Copilot we would land with approach flaps. I came over the fence at 135 KTS indicated and pushed the right prop full forward and landed left wing high; touched right wheel first as the stall warning just sounded; then left wheel down and kept nose in the air till the rest of airspeed had decayed. I could not continue to taxi on one engine. We asked Ground for a tow and approval for passenger pick up. The whole flight was handled as professionally and normally as possible. Perhaps I should have declared an emergency. I was glad that we had not caused any problems and had not violated any FAR. Maintenance found that we had a failure of the main drive shaft to the accessory section of the engine; thus causing the fuel control unit to quit operating and the engine to shut down.