Liu Yun, Huo Yuhong
School of Electronic Engineering, Huainan Normal University, Huainan 232038, China.
School of Finance and Mathematics, Huainan Normal University, Huainan 232038, China.
Math Biosci Eng. 2024 Mar 4;21(4):5032-5046. doi: 10.3934/mbe.2024222.
In this paper, in order to realize the predefined-time control of n-dimensional chaotic systems with disturbance and uncertainty, a disturbance observer and sliding mode control method were presented. A sliding manifold was designed for ensuring that when the error system runs on it, the tracking error was stable within a predefined time. A sliding mode controller was developed which enabled the dynamical system to reach the sliding surface within a predefined time. The total expected convergence time can be acquired through presetting two predefined-time parameters. The results demonstrated the feasibility of the proposed control method.
本文中，为了实现对具有干扰和不确定性的n维混沌系统的预设时间控制，提出了一种干扰观测器和滑模控制方法。设计了一个滑模面，以确保误差系统在其上运行时，跟踪误差在预设时间内稳定。开发了一种滑模控制器，使动态系统能够在预设时间内到达滑模面。通过预设两个预设时间参数可以获得总的预期收敛时间。结果证明了所提出控制方法的可行性。
