Design of self-scheduled H_∞ control for turbofan engine

The LPV (Linear Parameter-Varying) system of turbofan engine was put into a polytopic expression by a convex decomposition, and the polytopic features were used to simplify the controller design to a vertices' controller design. By using a LMI (Linear Matrix Inequality) approach, a feedback controller with the pole placement in a given region and with unique Lyapunov function for every vertex was designed, which satisfied H_∞ performance requirement. A global continuous gain scheduled controller was then obtained by the synthesis of the vertex controllers. As compared with PID controller, the designed controller demonstrates its feasibility.