WASHINGTON — The Obama administration has informed lawmakers that the president will seek a formal authorization to fight the Islamic State that would prohibit the use of “enduring offensive ground forces” and limit engagement to three years. The approach offers what the White House hopes is a middle way on Capitol Hill for those on the right and left who remain deeply skeptical of its plans to thwart extremist groups.

The request, which could come in writing as early as Wednesday morning, would open what is expected to be a monthslong debate over presidential war powers and the wisdom of committing to another unpredictable mission in the Middle East while the nation is still struggling with the consequences of two prolonged wars.

Congress has not voted to give a president formal authority for a military operation since 2002 when it backed George W. Bush in his campaign to strike Iraq after his administration promoted evidence, since discredited, that Saddam Hussein’s government possessed unconventional weapons.

The new request to conduct military operations would repeal that authorization. But it would leave in place the broad authority to counter terrorism that Congress granted Mr. Bush in 2001 after the Sept. 11 attacks, which many Democrats now believe is being interpreted too broadly to justify military actions that were never intended.