To avoid the bumps of the control signal in the switching instants, this paper proposes a bumpless transfer control method which guarantees the continuous of control signal while keeping the asymptotic stability of the closed-loop system. Firstly, the presented bumpless transfer control method possesses a simple structure and meanwhile not have to redesign sub-controllers, which is easy to implement. Furthermore, the method is appropriate for either stable subsystems or unstable subsystems, and be suitable for either state feedback control or dynamic output feedback control. Moreover, we give the sufficient conditions of asymptotic stability for switched linear systems under bumpless transfer control for four cases. For the original switched system with stable subsystems under state or dynamic output feedback control, the stability conditions under mode-dependent average dwell time switching are derived. For the original switched system with unstable subsystems under state or dynamic output feedback control, which is stabilized by some certain switching laws, the stability conditions under the original switching law are given. Finally, a hardware-in-the-loop simulation of an aero-engine control system is employed to verify the effectiveness and superiority of the proposed method.

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开关线性系统的无扰动传递控制及其在航空发动机中的应用

为了避免在切换瞬间出现控制信号的突跳，本文提出了一种无扰动转移控制方法，该方法在保持闭环系统的渐近稳定性的同时，保证了控制信号的连续性。首先，提出的无扰动转移控制方法结构简单，无需重新设计子控制器，易于实现。此外，该方法适合于稳定子系统或不稳定子系统，并且适合于状态反馈控制或动态输出反馈控制。此外，我们给出了在四种情况下无扰动转移控制下切换线性系统的渐近稳定性的充分条件。对于在状态或动态输出反馈控制下具有稳定子系统的原始交换系统，推导了与模式有关的平均停留时间切换下的稳定性条件。对于某些子系统处于状态或动态输出反馈控制的不稳定状态的原始切换系统，通过一定的切换定律使系统稳定，给出了原始切换定律下的稳定性条件。最后，通过对航空发动机控制系统进行半实物仿真，验证了该方法的有效性和优越性。