Robust Self-Triggered Nonlinear Impulsive Control for Uncertain Systems
研究了不确定非线性系统在自触发脉冲控制下的稳定性问题，提出一种显式自触发机制，放宽了脉冲增益约束，并给出局部渐近稳定的充分条件与收敛域估计。
This article studies the stability problem of uncertain nonlinear systems by self-triggered impulsive control (STIC) methods with nonlinear impulses. With the help of comparison principle, a class of self-triggered mechanisms (STMs) is proposed, where the next triggering instant is given in explicit form with lower communication occupations. Moreover, different from the existing STIC results, the effect of nonlinear impulses is fully considered in the design of STIC strategies in this article, by which the constraints associated with the impulsive control gain can be relaxed. Under such STIC strategies, some sufficient conditions for local asymptotical stability (LAS) of uncertain nonlinear systems are put forward and the estimation of convergence region is provided, with simple structure for easy implementation. In addition, there is no Zeno behavior for the designed STM. Finally, two simulation examples are given to illustrate the validity and advantage of our theoretical results.