基于事件触发的Buck型DC-DC变换器有限时间控制

Finite-time Control of DC-DC Buck Converters Based on Event-Triggered

摘要:

针对Buck型DC-DC变换器输出电压跟踪控制问题，提出了一种基于事件触发机制的有限时间控制方案。首先，将Buck变换器建模成一类反馈型非线性系统。然后，为能有效地避免通信资源的浪费，通过构造一种状态变换设计了一种事件触发机制；同时，利用反步法，设计了系统的状态反馈控制器，该控制器在事件触发时刻更新；然后，基于所设计的事件触发控制器，利用有限时间Lyapunov稳定性理论分析了系统的稳定性，并证明了所设计的控制方案不会发生Zeno现象；最后，通过Buck变换器仿真实例验证了所提出的事件触发控制方案的有效性，仿真结果表明了在所设计的控制方案下，Buck型DC-DC变换器的输出在有限时间内可以达到期望值，同时还能减少通信资源的浪费。

Abstract:

Aiming at the problem of voltage tracking control for Buck DC-DC converters, a finite-time controller based on event-triggered is proposed. Firstly, the Buck converter is modeled as a class of feedback nonlinear system. Then an event-triggered scheme is designed to avoid unnecessary waste of communication resources effectively by constructing a coordinate transformation. At the same time, a state-feedback controller which is dependent on triggering instants is designed by using backstepping. Then, based on the proposed event-triggered controller, the stability of the closed-loop system is analyzed by using finite-time Lyapunov stability theory and the Zeno phenomenon which could be accused from the event-triggered scheme is also excluded. Finally, the effectiveness of the proposed event-triggered finite-time control scheme is verified by a simulation example about the Buck converter and simulation results show that the proposed control method can make the output voltage of the Buck DC-DC converter reach the prescribed voltage in finite time and the waste of communication resource can be reduced at the same time.