基于LTR观测器的输入时滞系统的滑模控制

Sliding Mode Control Based on LTR Observer for Input Time-Delay System

针对一类线性时滞系统且存在外部噪声干扰和参数不确定性问题,提出一种基于回路传输恢复(LTR)观测器的滑模变结构控制方法.为了简化时滞变结构控制器的设计,采用非奇异线性变换将输入时滞的线性系统转化为无时滞系统,并进行滑模变结构控制器的设计、理论分析及稳定性证明.仿真结果表明,该方法对时滞系统在噪声干扰和过程参数不确定性时系统状态快速达到稳态,得到的控制效果仍具有较好的稳定性.

In this paper, the combination of loop transfer recovery （LTR） observer and sliding mode control （SMC） is researched to deal with input time-delay system which has extern disturbance and parameter perturbation. The input time-delay system was rewritten into system without any time-delay by utilizing non-singular linear transformation. Then the SMC controller was designed based on the system without time-delay. Finally, an asymptotic stability of the system was given. Simulation results show that the designed controller has good performance and the steady-state of time-delay system, which has noise disturbance and parameter perturbation, could be reached quickly.