Transition Bumpless Control for Continuous-Time Switched Linear Systems: A Two-Step Approach

This article studies the bumpless H_∞ control issue for a class of continuous-time switched linear systems with mode-dependent average dwell time (MDADT) switching. A new two-step approach is proposed to suppress the control input bumps. First, the predesigned stabilizing controller is acquired via imposing the common-matrix-based bump limitation constraints. Second, the transition bumpless transfer (BT) controller is designed to be activated at the subsystem switching instants and combined with the stabilizing controller to constitute the transition-dependent piecewise BT controller. By applying the new transition-dependent piecewise Lyapunov function and the control amplitude limitation strategy, sufficient conditions are derived for the existence of a piecewise BT controller under MDADT switching. Finally, a tunnel diode circuit system is provided to highlight the feasibility and superiority of the developed BT control method.