CONTROL OF PROCESSING PARAMETERS FOR SUBSTRATE POLISHING WITH ANGULARLY DISTRIBUTED ZONES USING COST FUNCTION

Generating a recipe for controlling a polishing system includes receiving a target removal profile that includes a target thickness to remove for a plurality of locations on a substrate that are angularly distributed around the substrate, and storing a first function defining a polishing rate for a zone from a plurality of pressurizable zones of a carrier head that are angularly distributed around a the carrier head. The first function defines polishing rates as a function of pressures. For each particular zone of the plurality of zones a recipe defining a pressure for the particular zone over time is calculated by calculating an expected thickness profile after polishing using the first function, and minimizing a cost function that incorporates a first term representing a difference between the expected thickness profile and a target thickness profile.