基于H_∞方法的控制系统作动器最优控制仿真研究

Simulation of optimal control actuators for a control system based on H_∞ theory

在设计控制系统模型时,首先引入了有限差分法(FDM)离散化后的波动方程,然后基于H_∞最优控制原理,检查闭环控制系统的稳定性和可探测性,对控制系统传感器和作动器的位置进行优化配置。通过计算闭环反馈系统的范数,最终得到了控制系统的最优控制算法。仿真结果表明,利用波动方程来优化控制系统传感器和作动器位置的算法是可行的,可广泛应用于飞控系统的设计中。

This paper proposes a new way to address this issue,in which wave equation discretized by the finite differential method（ FDM） was used to describe the input / output propagation mode for control systems. By utilizing a robust controller design to the models,the complicated optimal actuator and sensor placement problem can be transformed to a judgement on specific characteristics. Check the stability and detectability of the closed-loop control system based on the H_∞ optimal control principles. The simulation results show that the process of optimizing the placement of sensors and actuators for control and monitoring system could also serve as a natural extension to other structures.