论文部分内容阅读
研究了单输入单输出（ＳＩＳＯ）线性时不变系统的鲁棒最优模型匹配问题．采用二自由度的控制器，对于被控对象具有乘性摄动时，充分考虑控制器的自由参数，将问题转化成有约束的Ｈ∞控制问题，使闭环系统既是Ｈ∞范数意义下的最优模型匹配，又具有更大的鲁棒稳定性．最后，通过解两个Ｈ∞范数的最优内插问题，给出了一种新的设计方法来确定控制器的参数．该方法简单、直接，对非最小相位系统和不稳定系统均适用．
The robust optimal model matching problem for invariant systems with time-invariant single-input-single-output (SISO) systems is studied. When the controlled object has multiplicative perturbation, the controller takes full account of the free parameters of the controller to convert the problem into a constrained H∞ control problem so that the closed-loop system is not only H∞ norm Optimal model matching, but also has greater robustness. Finally, by solving the optimal interpolation problem of two H∞norm, a new design method is proposed to determine the parameters of the controller. The method is simple, direct, non-minimum phase system and unstable system are applicable.