一类模型不确定系统的最优跟踪性能

Optimal Tracking Performance for a Class of Model Uncertainty Systems

在内模控制(IMC)结构下,对控制能量存在约束时一类不确定系统所能达到的最优跟踪性能进行了探讨.首先针对一类相加模型误差的描述,定义了一个平均意义上的包含跟踪误差和控制能量的性能指标.然后通过谱分解极小化该性能指标,导出一个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,在实际控制系统设计中可用来对最优跟踪性能和控制能量进行预估.

Optimal tracking performance for a class of uncertainty systems is discussed in the presence of control energy constraint under internal model control （ IMC ） structure. Firstly, an average performance index containing tracking error and control energy over a class of additive model errors is defined. Then, minimizing the performance by spectral factorization, we obtain an optimal controller design method, which can be used to take simultaneous account of model uncertainty and control energy constraint and evaluate optimal tracking performance and control energy in practical control system designs.