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Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

机译:传感器网络上传感器饱和的一类非线性系统的基于事件的分布式成员集滤波

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摘要

In this paper, the distributed set-membership filtering problem is investigated for a class of discrete time-varying system with an event-based communication mechanism over sensor networks. The system under consideration is subject to sector-bounded nonlinearity, unknown but bounded noises and sensor saturations. Each intelligent sensing node transmits the data to its neighbors only when certain triggering condition is violated. By means of a set of recursive matrix inequalities, sufficient conditions are derived for the existence of the desired distributed event-based filter which is capable of confining the system state in certain ellipsoidal regions centered at the estimates. Within the established theoretical framework, two additional optimization problems are formulated: one is to seek the minimal ellipsoids (in the sense of matrix trace) for the best filtering performance, and the other is to maximize the triggering threshold so as to reduce the triggering frequency with satisfactory filtering performance. A numerically attractive chaos algorithm is employed to solve the optimization problems. Finally, an illustrative example is presented to demonstrate the effectiveness and applicability of the proposed algorithm.
机译:本文研究了一类具有基于事件的传感器网络通信机制的离散时变系统的分布式集成员资格过滤问题。所考虑的系统受扇区界非线性,未知但有界噪声和传感器饱和度的影响。每个智能传感节点仅在违反某些触发条件时才将数据传输到其邻居。通过一组递归矩阵不等式,可以为存在所需的基于分布式事件的滤波器得出足够的条件,该滤波器能够将系统状态限制在以估计为中心的某些椭圆形区域中。在已建立的理论框架内,提出了两个附加的优化问题:一个是寻求最小的椭球体(在矩阵轨迹的意义上)以获得最佳滤波性能,另一个是最大化触发阈值以降低触发频率具有令人满意的过滤性能。采用数值上吸引人的混沌算法来解决优化问题。最后,给出了一个说明性示例,以证明所提出算法的有效性和适用性。

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