H∞ Control for Observer-Based Non-Negative Scaled Edge Consensus of Continuous-Time and Discrete-Time Networked Systems
研究了连续和离散时间网络系统中基于观测器的非负标度边一致性问题，并扩展到输入饱和情形，通过H∞控制和低增益反馈设计观测器与控制器增益矩阵。
This article studies the observer-based non-negative scaled edge-consensus (NNSEC) problems for continuous-time and discrete-time networked systems, and then these problems are extended to the cases with input saturation. Specifically, two observer-based algorithms are proposed by using only the outputs of neighboring edges, and the mathematical expressions of the control gain matrix and observer gain matrix in the two algorithms are derived. Based on the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> control theory and low-gain feedback technique, the observer gain matrix and control gain matrix can be obtained to achieve the NNSEC of continuous-time cases, and for discrete-time cases, the NNSEC can be achieved if the control gain matrix and observer gain matrix are nonpositive. Finally, four examples are proposed to verify the effectiveness of the main results.