Stabilisation for a class of switched nonlinear systems and its application to aero‐engines

The stabilisation problem of a more general switched non‐linear system originated from the aero‐engine control systems is investigated under an average dwell‐time approach. First, a procedure of choosing coordinates transformations for individual subsystems is presented. Through these coordinates transformations, the original subsystems are transformed into their non‐linear normal forms, respectively, based on which the state feedback controllers and the Lyapunov functions for subsystems are obtained through a constructive design method. However, each subsystem and its own Lyapunov function are expressed in individual coordinates and a common coordinates transformation cannot be obtained, which makes the design of a switching law extremely difficult. The authors overcome this difficulty to construct a switching law with average dwell time which can guarantee asymptotic stability of the closed‐loop switched system. Finally, the proposed switched controller is applied to a switched model of turbofan engine, and simulation results show the feasibility and validity of the developed controller.