Finite‐Time H∞ Comprehensive Bumpless Transfer Control for Switched Systems

ABSTRACT This paper investigates the problem of finite‐time comprehensive bumpless transfer (BT) control for switched systems. Aiming at the problem that existing studies mostly consider the BT of control input or state rate in isolation, a unified framework for comprehensive BT performance is first constructed to cover both. The design of a continuous switching controller with a time‐varying gain matrix not only avoids the conflict between the two BT performances but also effectively reduces the complexity of the constraint conditions for comprehensive BT. Second, a time‐ and state‐hybrid switching signal is designed. Specifically, the dwell time provides sufficient adjustment time to pursue the desired BT performance, while the state‐dependent switching relaxes the requirements on each subsystem by allowing individual subsystems to be unstable. This not only facilitates the achievement of satisfactory steady‐state performance but also avoids frequent switching behaviors. Third, based on the designed multiple Lyapunov function (MLF) method, the solvability conditions for the finite‐time comprehensive BT control problem are derived. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed strategy.