Li Li, Zhang Yaofeng
School of Information Management and Statistics, Hubei University of Economics, Wuhan, 430205, China; Collaborative Innovation Center of China Pilot Reform Exploration and Assessment-Hubei Sub-Center, Hubei University of Economics, Wuhan, 430205, China.
School of Information Management and Statistics, Hubei University of Economics, Wuhan, 430205, China; Collaborative Innovation Center of China Pilot Reform Exploration and Assessment-Hubei Sub-Center, Hubei University of Economics, Wuhan, 430205, China.
ISA Trans. 2021 Mar;109:22-33. doi: 10.1016/j.isatra.2020.09.005. Epub 2020 Sep 28.
A distributed preview controller (DPC) design problem is discussed for discrete-time large-scale systems with time-varying delay and polytopic uncertainty in this paper. The original time-varying delay system is reformulated as a constant delay systems via a model transformation. The difference operator method is extended to derive an augmented error system (AES). The preview control problem is converted into a stabilization problem based on state augmentation technique. Sufficient conditions are derived from the scaled small-gain theorem (SSG). Additionally, a DPC is designed through some linear matrix inequality (LMI) techniques. Finally, two examples are provided to show the effectiveness of our controller for large-scale systems.
本文讨论了具有时变延迟和多面体不确定性的离散时间大规模系统的分布式预测控制器（DPC）设计问题。通过模型变换将原始时变延迟系统重新表述为常数延迟系统。扩展差分算子方法以推导增广误差系统（AES）。基于状态增广技术将预测控制问题转化为稳定问题。从缩放小增益定理（SSG）得出充分条件。此外，通过一些线性矩阵不等式（LMI）技术设计了一个DPC。最后，给出两个例子来说明我们的控制器对大规模系统的有效性。
