l₂-l∞ State Estimation for Persistent Dwell-Time Switched Coupled Networks Subject to Round-Robin Protocol

• Published in: IEEE transaction on neural networks and learning systems Vol. 32; no. 5; pp. 2002 - 2014
• Main Authors: Shen, Hao, Xing, Mengping, Wu, Zhengguang, Cao, Jinde, Huang, Tingwen
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.05.2021
• Subjects: <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">l ₂–<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">l ∞ state estimation; Channel estimation; Couplings; Estimation; Network topology; persistent dwell time; Protocols; round-robin protocol; switched coupled networks; Switches; Topology
• ISSN: 2162-237X; 2162-2388; 2162-2388
• DOI: 10.1109/TNNLS.2020.2995708

This article is concerned with the issue of <inline-formula> <tex-math notation="LaTeX">l_{2} </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">l_{\infty } </tex-math></inline-formula> state estimation for nonlinear coupled networks, where the variation of coupling mode is governed by a set of switching signals satisfying a persistent dwell-time property. To solve the problem of data collisions in a constrained communication network, the round-robin protocol, as an important scheduling strategy for orchestrating the transmission order of sensor nodes, is introduced. Redundant channels with signal quantization are used to improve the reliability of data transmission. The main purpose is to determine an estimator that can guarantee the exponential stability in mean square sense and an <inline-formula> <tex-math notation="LaTeX">l_{2} </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">l_{\infty } </tex-math></inline-formula> performance level of the estimation error system. Based on the Lyapunov method, sufficient conditions for the addressed problem are established. The desired estimator gains can be obtained by addressing a convex optimization case. The correctness and availability of the developed approach are finally explained via two illustrative examples.