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Set-membership filtering for a class of nonlinear complex networks with mixed time-delays and incomplete measurements

机译:用于混合时间延迟的一类非线性复合网络的设置 - 成员资格过滤和不完整的测量

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摘要

In this paper, the set-membership filtering problem is discussed for a class of discrete time-varying nonlinear complex networks with mixed time-delays and incomplete measurements. Both the process noise and the measurement noise are unknown but bounded. The nonlinear function is assumed to satisfy the sector bounded condition and the incomplete measurement is model by a diagonal matrix. The main purpose of this paper is to design a set-membership filtering method in order to provide the certain regions, which include the real states. Accordingly, the filtering errors at each time can be limited to the ellipsoid sets for the considered nonlinear delayed complex networks in the simultaneous presence of unknown but bounded noise, mixed time-delays and incomplete measurements. Moreover, a convex optimization method is presented to obtain the minimum ellipsoid domain. In addition, the filter gain matrix can be obtained by solving a series of linear matrix inequalities. Finally, a simulation example is used to illustrate the effectiveness of the proposed set-membership filtering method.
机译:在本文中,讨论了集合隶属滤波问题,用于一类具有混合时间延迟和不完整测量的离散时变非线性复合网络。过程噪声和测量噪声都未知但有界。假设非线性函数满足扇区有界条件,并且不完全测量由对角线矩阵进行模型。本文的主要目的是设计集合隶属滤波方法,以便提供包括实际状态的某些地区。因此,每次的滤波误差可以限于所考虑的非线性延迟复合网络的椭圆体集,同时存在未知但有界噪声,混合时间延迟和不完整的测量。此外,提出了一种凸透化方法以获得最小椭球结构域。另外,通过求解一系列线性矩阵不等式,可以获得滤波器增益矩阵。最后,使用模拟示例来说明所提出的SET-CEMMENSIP滤波方法的有效性。

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