Bumpless Transfer Control for State-Dependent Switched Linear Systems with Dwell-Time Constraints

This paper investigates the robust bumpless transfer (BT) control problem for a class of state-dependent switched linear systems. To reduce control bumps in switched systems, a state-dependent switching law with a specified dwell-time constraint is proposed. Combined with BT performance requirements, BT control is designed to incorporate both transition-dependent control and stabilizing control. In contrast to previous interpolation-based BT control design schemes, the proposed structure decouples the controller evaluation period from the dwell-time constraints, thereby enhancing flexibility in BT control design. Through the construction of transition-dependent Lyapunov functions, sufficient conditions are established to guarantee the exponential stability and BT performance for the switched system. The proposed method is extended to disturbed switched systems with a guaranteed$\mathcal{L}_{2}$-gain upper bound. To demonstrate the effectiveness of the proposed BT control strategy, an example featuring an aero-engine model is presented.