Methods and apparatus for processing a substrate

Methods and apparatus for processing a substrate are provided herein. For example, an apparatus can be a controller for a high peak power radio frequency (RF) generator. The controller comprises a control logic circuit in operable communication with an RF generator operating in a burst mode, the control logic circuit configured to receive a power, P, request at a predetermined duty cycle, δ, from a plasma processing chamber, determine a peak maximum power, Ppeakmax, based on a maximum average power, Pavgmax, and a maximum absolute power, Pabsmax, of the RF generator and the predetermined duty cycle, and transmit a control signal to the RF generator to limit a peak power, Ppeak, to the plasma processing chamber based on the Ppeakmax.