Dual-Mode Transition-Dependent Sliding Mode Bumpless Transfer Control for Uncertain Switched Systems With Its Application to Aero-Engines

This article focuses on the sliding mode bumpless transfer control (SMBTC) problem for switched systems with disturbance under mode-dependent average dwell time (MDADT) constraints. Compared with the existing results, this study establishes a variable structure bumpless transfer control scheme by combining the sliding mode control (SMC) method and the bumpless transfer technique together to effectively deal with the disturbance and bumps of control input for switched systems. First, a novel dual-mode transition-dependent SMBTC strategy consisting of the flexible bumpless transfer control and robust control is proposed for the reachability of a predefined mode-dependent sliding surface. Then, by constructing the dual mode-dependent Lyapunov functions, sufficient conditions are proposed for the global uniform asymptotical stability of resultant sliding mode dynamics (SMDs) under the MDADT constraints, which allows the system energy to be nondecreasing during the bumpless transfer stage and thus improves the freedom of control synthesis. Furthermore, considering that the steady-state properties of systems are imposed on the sliding surface, the bumpless transfer performance in the sliding phase is discussed as a special case by partly relaxing the bumps limitation. Finally, the feasibility and superiority of the presented results are demonstrated by a practical example of aero-engines.