These are the materials I will cover on optimal policy with commitment.
V.V. Chari, L. Christiano and P. Kehoe, 1991, Optimal Fiscal and Monetary Policy: Some Recent Results, Journal of Money, Credit and Banking, vol. 23, no. 3, August, part 2.
V.V. Chari, L. Christiano and P. Kehoe, 1996, Optimality of the Friedman Rule in Economies with Distorting Taxes, Journal of Monetary Economics.