采用模态集结法的变结构控制

THE VARIABLE STRUCTURE CONTROL USING MODAL AGGREGATION

利用模态集结法研究了变结构控制问题.首先证明了精确集结反馈不改变原系统的快变模态,在常规假设下原系统与集结系统有相同的镇定性.并将这一结论应用于滑动模态的稳定性设计和寻求变结构控制律,克服了"高维"给系统带来的困难.最后用此方法研究了奇异摄动系统和广义动态系统的变结构控制设计.

Using modal aggregation,the variable structure control(VSC)has been studied.First,it is proved that the fast modes of system are invariable for exact aggregation feedback,both the original system and its exact aggregation system have same stabilization.The conclusion is used to the design of sliding mode and the law of VSC can reduce the troubles brought by'high dimension'greatly.Last,the VSC of singular- ly perturbed systems and generallized dynamic systems are developed.