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首页> 外文期刊>International Journal of Robust and Nonlinear Control >State estimation for two-dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays
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State estimation for two-dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays

机译：具有随机发生的非线性和随机变化的传感器延迟的二维复杂网络的状态估计

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摘要

This paper is concerned with the state estimation problem for two-dimensional (2D) complex networks with randomly occurring nonlinearities and randomly varying sensor delays. To describe the fact that measurement delays may occur in a probabilistic way, the randomly varying sensor delays are introduced in the delayed sensor measurements. The randomly occurring nonlinearity, on the other hand, is included to account for the phenomenon of nonlinear disturbances appearing in a random fashion that is governed by a Bernoulli distributed white sequence with known conditional probability. The stochastic Brownian motions are also considered, which enter into not only the coupling terms of the complex networks but also the measurements of the output systems. Through available actual network measurements, a state estimator is designed to estimate the true states of the considered 2D complex networks. By utilizing an energy-like function, the Kronecker product and some stochastic analysis techniques, several sufficient criteria are established in terms of matrix inequalities under which the 2D estimation error dynamics is globally asymptotically stable in the mean square. Furthermore, the explicit expression of the estimator gains is also characterized. Finally, a numerical example is provided to demonstrate the effectiveness of the design method proposed in this paper.
机译：本文涉及具有随机发生的非线性和随机变化的传感器延迟的二维（2D）复杂网络的状态估计问题。为了描述测量延迟可能以概率方式发生的事实，在延迟的传感器测量中引入了随机变化的传感器延迟。另一方面，包括随机发生的非线性，以解决以随机方式出现的非线性干扰现象，该现象由具有已知条件概率的伯努利分布白色序列控制。还考虑了随机布朗运动，它不仅参与复杂网络的耦合项，而且参与输出系统的测量。通过可用的实际网络测量，状态估计器被设计为估计所考虑的2D复杂网络的真实状态。通过利用类似能量的函数，Kronecker乘积和一些随机分析技术，就矩阵不等式建立了几个充分的标准，在这些不等式下，二维估计误差动态在均方中全局渐近稳定。此外，还表征了估计器增益的显式表达。最后，通过数值例子验证了本文提出的设计方法的有效性。

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