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Convergence analysis of distributed Kalman filtering for relative sensing networks

Frontiers of Information Technology & Electronic Engineering 2018年第9期19卷 1063-1075页

作者： Che LIN Rong-hao ZHENG Gang-feng YAN Shi-yuan LU College of Electrical Engineering Zhejiang Universit Zhejiang Province Marine Renewable Energy Electrical Equipment and System Technology Research Laborator

We study the distributed Kalman filtering problem in relative sensing networks with rigorous *** relative sensing network is modeled by an undirected graph while nodes in this network are running homogeneous dynamical models. The sufficient and necessary condition for the observability of the whole system is given with detailed proof. By local information and measurement communication, we design a novel distributed suboptimal estimator based on the Kalman filtering technique for comparison with a centralized optimal estimator. We present sufficient conditions for its convergence with respect to the topology of the network and the numerical solutions of n linear matrix inequality（LMI） equations combining system parameters. Finally, we perform several numerical simulations to verify the effectiveness of the given algorithms.

关键词： Relative sensing network Distributed Kalman filter schur stable Linear matrix inequality

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FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS

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Acta Mathematica Scientia 2007年第3期27卷 635-644页

作者：余宏旺汪志鸣 Department of Mathematics East China Normal University

In this article, floating quantization effects on multirate sampled-data control systems are studied. It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are schur stable. Moreover, it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as desired by selecting proper quantization level.

关键词： Multirate sampled-data control systems quantization schur stable uniformly ultimately bounded

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