Bounded Intermittent Controllers-Based Predefined-Time Control of Neutral Filippov Systems
研究了切换中立Filippov系统的预定时间控制问题，提出了半间歇和完全间歇两种预定时间稳定性引理，并首次考虑了控制输入约束，通过有界控制策略实现了系统的预定时间稳定。
In this article, the predefined-time (PdT) control of the switched neutral Filippov system (SNFS) is studied. Semi-intermittent-type and completely intermittent-type PdT stability lemmas are initially established. The indefinite function, united exponent parameter and intermittent time condition are adopted. The new completely intermittent-type PdT stability lemma shows that intermittent interval is related to the PdT parameter, and semi-intermittent-type one is not. Such results are new and some previous PdT stability lemmas are improved greatly. As an application, the SNFS is proposed, which is more generalized. Under the semi/completely intermittent time conditions framework, by designing discontinuous control strategy and bounded control strategy, the zero solution of the considered SNFS is PdT stable. For the PdT control, the control input constraint is considered for the first time. Finally, a numerical example and simulations are provided to illustrate the correctness of the main results.