What statement of limits on a monarch's power did Charles I agree to in 1628?

Answer: The Petition of Right.

Explanation:

In 1628, the English Parliament sent a statement of civil liberties, known as Petition of Right, to Charles I. Parliament disapproved of king's foreign policy and refused to finance it, as it made the government exact forced loans. Forced loans were non-parliamentary taxes, demanded by the English monarchs from richer subjects. The forced loan of 1626 was, for example, levied on all taxpayers. It was an attempt to bypass the Parliament.

Restrictions on non-parliamentary taxes, forced soldiers billeting, imprisonment without cause, and the use of martial law are all included in the Petition.