Yan Yifang, Yang Chunyu, Ma Xiaoping, Zhou Linna
School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China.
ISA Trans. 2019 Aug;91:32-40. doi: 10.1016/j.isatra.2019.01.030. Epub 2019 Feb 8.
In this paper, the problem of sampled-data observer-based anti-windup (AW) control for singularly perturbed systems with actuator saturation is considered. A sampled-data observer-based AW controller consisting of a sampled-data observer, controller and AW compensator is proposed for the first time. Based on an ε-dependent Lyapunov-Krasovskii functional and linear matrix inequalities, the three components of sampled-data observer-based AW controller are designed simultaneously, which can reduce the conservatism. Furthermore, a convex optimization algorithm is formulated to obtain a desired stability bound and enlarge the basin of attraction at the same time. Finally, examples are provided to demonstrate the effectiveness and merits of the obtained results.
本文研究了具有执行器饱和的奇异摄动系统基于采样数据观测器的抗饱和（AW）控制问题。首次提出了一种由采样数据观测器、控制器和AW补偿器组成的基于采样数据观测器的AW控制器。基于依赖于ε的Lyapunov-Krasovskii泛函和线性矩阵不等式，同时设计了基于采样数据观测器的AW控制器的三个组成部分，这可以降低保守性。此外，还制定了一种凸优化算法，以获得期望的稳定界并同时扩大吸引域。最后，通过实例验证了所得结果的有效性和优点。
