时滞系统的状态预测观测器及预测控制器设计

Design of state predictive observer and predictive controller for systems with time-delay

研究基于状态空间模型的时滞控制系统的状态预测观测器及最优预测控制器的设计问题。针对控制项含有时滞的系统 ,设计一种全维状态预测观测器 ,并将其用于时滞控制系统的最优状态预测反馈控制。通过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 ,从而使其优化控制规律完全可按无时滞系统进行设计。所给出的性能指标计算公式表明 ,该预测控制器关于二次型性能指标是次优的。

Designing approach of a predictive controller for systems with control time-delay based on a state predictive observer is studied. A state predictive observer is first designed, then it is applied to optimal state feedback predictive control for systems with control time-delay. Using this state predictive observer, the time-delay term of closed-loop systems can be transferred to the outside of the system's closed-loop structure. Therefore, control laws can be designed according to optimal control methods of systems without time-delay. Computing formula of performance indexes shown that this predictive controller is suboptimal with respect to quadratic performance indexes.