Transition Bumpless Control for Continuous-Time Switched Linear Systems: A Two-Step Approach
针对一类连续时间切换线性系统，提出一种两步法来抑制控制输入跳变，先设计稳定控制器，再设计过渡无扰控制器，并在隧道二极管电路系统中验证了方法的可行性和优越性。
This article studies the bumpless <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i><sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> 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.