仿射非线性系统的广义逐点最小范数控制

在Freeman的逐点最小范数控制器的基础上,提出了一种新的非线性控制器设计框架-广义逐点最小范数控制器,并证明了其连续性.通过一个引导函数,新的控制器可以和其他的控制器设计策略结合,从而大大提高了控制器设计的灵活性.另外,给出了新方法的两个应用:改善局部线性化控制器稳定域较小的缺陷;及和其它控制器设计方法结合,使之能够简单有效地处理具有输入约束的系统.

The generalized point-wise min-norm control (GPMN) is presented based on Freeman’s point-wise min-norm control (PMN). Its continuity is proven. By means of a directing function, the GPMN control can be combined with other control strategies to produce more flexibility than the PMN control. Two applications of GPMN are given: the first one is to extend the stability region of the local linearization control, and the second one is to combine with other control strategies to deal with the input constrained systems.