Regional Jet 200 ER/LR (CRJ200)
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Troubleshooting; Workload
Aircraft Equipment Problem Critical; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Inflight Shutdown; Flight Crew Landed in Emergency Condition
Manuals; Aircraft; Procedure
We started our descent to cross ZZZZZ at 10;000 ft. and 250 kias intersection on the ZZZZZ4; we started our descent and brought power to idle as the aircraft sped up we noted the number 2 engine. We advised ATC we would be unable to make the crossing restriction. They were okay with that; we made throttle inputs but had no engine response. We ran IAC (Immediate Action Checklist) for uncommanded acceleration/ engine overspeed. The engine didn't shutdown; we then ran QRH leading to inflight engine shutdown which was unsuccessful in shutting down the engine. We advised ATC and then ran the severe engine damage QRH except for discharging bottles. After that we received extended vectors to a 35-40 mile final; made a call to the Flight Attendant and passengers. Ran out of time to complete and send a message to Dispatch as we were inbound and trying to stay ahead of the aircraft and execute a safe approach and landing. There should be a QRH for unresponsive throttle or a tree in the inflight engine shutdown procedure for 'did the engine shutdown' after the action for putting throttle to shutoff; leading to instructions for a procedural shutdown using the engine fire push switch.
On descent; realized right engine was stuck at full power. Pulled thrust back with no response. Advised ATC unable to comply with descend via; and we were working a problem. Ran uncommanded acceleration IAC (Immediate Action Checklist) and QRH. Decision tree prompted engine shutdown and single engine procedures; of which didn't produce an engine shutdown. Advised ATC; and requested delay vectors. Discussed with FO (First Officer) no alternative but to shut down via severe engine damage IAC/QRH. We both noted probably a disconnect of sorts from thrust lever to engine. FO and I agreed with course of action.  I kept FO Pilot Flying; felt PM (Pilot Monitoring) tasks were more complex. Checklists completed and prepped for landing single engine Runway XXR. Requested 35-40 mile final after delay vectors. Began to send Dispatch a message via ACARS but ATC made for a very busy cockpit; with many requests and turns. I did notify FA (Flight Attendant) of issue; that we were shutting down engine due to over speed; and expect a normal landing with Aircraft Fire/Rescue vehicles to meet plane. Explained announcement to make to passengers; and she complied. Advised FO at anytime he could transfer controls to me if he felt the need. Landed without incident; Aircraft Fire Rescue vehicles did inspection; and we taxi'd to gate.I'd suggest an IAC/QRH option taking into account a failed thrust lever; not just uncommanded acceleration. It's not a problem to 'be a pilot' and make the right decision; but this scenario should be addressed at the procedural level should it reoccur.
Air Carrier Flight Crew flying CRJ-200 aircraft reported engine throttles were unresponsive during descent.  Flight crew performed inflight shutdown.