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液体火箭发动机燃烧室内燃烧过程的动态模型是一不稳定的时滞系统,为了改善闭环系统燃烧的稳定性,针对燃烧室的燃烧过程设计了有记忆状态反馈控制器。首先基于时滞分割方法,通过平均分割时滞区间构造了适当的Lyapunov-Krasovskii(L-K)泛函并结合积分不等式处理方法,建立了保守性更低的稳定性判据;其次在稳定性判据的基础上,设计了有记忆反馈控制器。该方法通过求解线性矩阵不等式(LMI)的可行解得到控制器的参数化表达式。仿真结果表明,该方法扩大了系统稳定的最大时滞上界范围,具有更低的保守性,同时控制器的镇定性能相比现有文献有一定的提高。
The dynamic model of the liquid rocket engine combustion chamber combustion process is an unstable time-delay system. In order to improve the combustion stability of the closed-loop system, a memory state feedback controller is designed for the combustion process of the combustion chamber. Firstly, based on the method of time-delay partitioning, an appropriate Lyapunov-Krasovskii (LK) functional is constructed by dividing the time lag by the average, and then a conservative criterion with lower stability is established. Secondly, Based on the design of a memory feedback controller. The method obtains the parameterized expression of the controller by solving the feasible solution of linear matrix inequality (LMI). The simulation results show that the proposed method expands the upper bound of the maximum time-delay of the system stability and has a lower degree of conservativeness. Meanwhile, the stabilization performance of the controller is improved compared with the existing literature.