正弦干扰下时滞系统的状态预测观测器与前馈-反馈预测控制器设计

Design of State Predictive Observers and Feedforward and Feedback Predicti ve Controllers for Time-Delay Systems with Sinusoidal Disturbances

研究控制变量含有时滞的线性系统在外部正弦干扰下的最优减振预测控制问题。利用系统的控制向量和被控对象的预测输出向量 ,设计了 1种全维状态预测观测器。并将该状态观测器用于时滞控制系统的最优前馈 -反馈预测控制中。频域分析表明 ,应用该状态预测观测器可将闭环系统的时滞项移至系统闭环结构之外 ,从而其优化控制规律完全可以按无时滞系统进行设计。时域分析表明 ,设计的预测控制器对外部正弦干扰有较强的鲁棒性 。

Optimal predictive control to damp oscillations fo r linear time delay systems with external sinusoidal disturbances is considered. A full order state predictive observer for time delay systems by using the con trol vector and the predictive output vector of the controlled plant is structur ed. Based on the state predictive observer, a feedforward and feedback predictiv e controller in an optimal control fashion is then designed. Frequency domain an alysis shows that the time delay term of the closed loop system can be transfe rred to the outside of the system's closed loop framework by using the state pr edictive observer. Therefore, the optimal control law may be designed according to the optimal design methods for systems without time delay. Time domain analy sis shows that this predictive controller is of stronger robustness to external sinusoidal disturbances, and is suboptimal with respect to quadratic performance indexes.