Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran.
LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200 - 465, Porto, Portugal.
ISA Trans. 2023 Jul;138:20-36. doi: 10.1016/j.isatra.2023.03.008. Epub 2023 Mar 8.
This work addresses the stabilization of variable fractional-order (VFO) neutral-type systems with structure perturbations and unknown disturbance signals using the feedback control approach. The goal is to design disturbance-observer-based delayed state- and output-feedback controllers to achieve robust stability of such VFO systems. The proposed controller consists of two parts, namely a primary controller based on the linear feedback technique, and an auxiliary controller based on the disturbance observer. A disturbance observer is developed to estimate the disturbance signal, which is generated by an exogenous system. Based on matrix inequalities, order-dependent and delay-dependent conditions are formulated via FO Lyapunov theory that guarantee the robust stability of the closed-loop system. Simulations verify the main results.
本文采用反馈控制方法研究了具有结构摄动和未知扰动信号的变阶分数阶（VFO）中立型系统的稳定性。目的是设计基于干扰观测器的时滞状态和输出反馈控制器，以实现此类 VFO 系统的鲁棒稳定性。所提出的控制器由两部分组成，即基于线性反馈技术的主控制器和基于干扰观测器的辅助控制器。设计了一个干扰观测器来估计由外生系统产生的干扰信号。基于矩阵不等式，利用 FO Lyapunov 理论，给出了与时滞相关的阶数相关条件，保证了闭环系统的鲁棒稳定性。仿真验证了主要结果。
