Cheng Yiming, Liu Tianhe, Weng Rui, Cai Bo, Wang Changhong
School of Astronautics, Harbin Institute of Technology, Harbin, China.
Sci Prog. 2020 Jan-Mar;103(1):36850420912150. doi: 10.1177/0036850420912150.
This article investigates sliding mode control for a class of continuous-time switched systems with signal quantization, actuator nonlinearity and persistent dwell-time switching that can guarantee the globally uniformly asymptotical stability of the closed-loop system. First, a sliding surface is devised for the switched system and sufficient conditions are proposed to ensure the globally uniformly asymptotical stability of the sliding motion equation by utilizing multiple Lyapunov function technique. Second, the sliding mode control laws, based on the parameters of quantizer, actuator nonlinearity and disturbance, are devised to stabilize the closed-loop systems. Moreover, sufficient conditions are given to guarantee the devised sliding surface's reachability. Finally, the superiority and effectiveness of developed results is illustrated via a numerical simulation.
本文研究了一类具有信号量化、执行器非线性和持续驻留时间切换的连续时间切换系统的滑模控制，该控制可保证闭环系统的全局一致渐近稳定性。首先，为切换系统设计了一个滑动面，并利用多重李雅普诺夫函数技术提出了充分条件，以确保滑动运动方程的全局一致渐近稳定性。其次，基于量化器、执行器非线性和干扰的参数设计了滑模控制律，以使闭环系统稳定。此外，还给出了保证所设计滑动面可达性的充分条件。最后，通过数值仿真说明了所得到结果的优越性和有效性。
