一类不确定时滞系统的最优控制

Optimal control for a class of uncertain time-delay systems

对控制能量存在约束条件下一类不确定时滞系统的最优控制问题进行了研究.首先基于一类随机模型误差的描述,定义了一个平均意义上的包含跟踪误差和控制能量在内的性能指标;然后通过谱分解极小化该性能指标,为一类不确定时滞系统导出了一种最优的控制器设计方法,可以兼顾模型不确定性和控制能量约束.仿真研究进一步说明了所提出方法的有效性.

Optimal control for a class of uncertain time-delay systems is investigated under control energy constraint. Firstly, an average performance index containing tracking error and plant input energy over a class of stochastic model errors is defined. Then, by utilizing spectral factorization to minimize the performance index, an optimal controller design method for a class of uncertain time-delay systems is obtained, which is used to take simutaneous consideration of plant uncertainty and control energy constraint. Simulation results show the effectiveness of the method.