This paper presents the concept and design of a two-layer robust control system for suppression of combustion instabilities over a wide range of operation. The control law is synthesized based on a multiple-time-scale model of combustion dynamics. Control actions on the fast-time scale are provided by secondary fuel injection, and are gain-scheduled according to the variations, of mean-flow temperature and velocity on the slow-time scale. A linear parameter varying (LPV) I.-gain control law is formulated in the setting of differential game theory. Simulation experiments hake been conducted to evaluate the control law under wide-range operation of a generic combustor in term, of the trade-off among: ( I) fuel injection rate and Pressure oscillation (2) transient and steady responses: and (3) stability robustness and performance.