论文标题
随机时间延迟系统的安全稳定
Safe Stabilization for Stochastic Time-Delay Systems
论文作者
论文摘要
本文解决了随机非线性时间延迟系统的安全稳定问题。基于Krasovskii方法，我们首先提出了随机控制Lyapunov-Krasovskii功能，以确保稳定目标和随机控制屏障Krasovskii功能，以确保安全目标。这两个功能都是第一次针对每个控制目标开发。由于优化问题不容易解决随机时间延迟系统，因此我们得出了一种基于滑动模式的方法来组合提出的两个功能并介导稳定和安全目标，从而允许在安全要求下实现稳定目标。通过数值示例说明了所提出的方法。
This paper addresses the safe stabilization problem of stochastic nonlinear time-delay systems. Based on theKrasovskii approach, we first propose a stochastic control Lyapunov-Krasovskii functional to guarantee the stabilization objective and a stochastic control barrier-Krasovskii functional to ensure the safety objective. Both functionals are developed respectively for each control objectives for the first time. Since the optimization problem is not easy to be resolved for stochastic time-delay systems, we derive a sliding mode based approach to combine the proposed two functionals and to mediate stabilization and safety objectives, which allows to achieve the stabilization objective under the safety requirement. The proposed approach is illustrated via a numerical example.
