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Stochastic output noise effects in sliding mode state estimation

机译：滑模状态估计中的随机输出噪声影响

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This paper is devoted to the analysis of effects of stochastic output noises acting on a stochastic continuous time system which states are estimated using mixed (linear and sliding-mode type) observers. Such observers provide the stable (with probability one) estimates. The 'averaged' norm of estimation error converges to a zone where size is proportional to the acting noise power. The main technique of the proof is based on the 'averaging concept' applied within the frame of stochastic Lyapunov-like analysis. The stochastic calculus (It (o) over cap formula) as well as some basic principles for stochastic processes are used to obtain the convergence results. The size of the obtained zone is analysed as a function of the sliding mode gain parameter. It is shown that the sliding mode term helps a high-gain linear observer to make this zone smaller. The illustrative example dealing with the circuit of a full bridge boost type PFP (power factor precompensator) concludes this study. [References: 44]
机译：本文致力于分析随机输出噪声对随机连续时间系统的影响，该状态使用混合（线性和滑模类型）观测器估算状态。这样的观察者提供了稳定的估计（概率为一）。估计误差的“平均”范数收敛到大小与作用噪声功率成正比的区域。证明的主要技术是基于在随机Lyapunov类分析框架内应用的“平均概念”。利用随机演算（上限公式为（o））以及一些随机过程的基本原理来获得收敛结果。根据滑模增益参数分析获得的区域的大小。结果表明，滑模项可以帮助高增益线性观测器缩小该区域。本研究以处理全桥升压型PFP（功率因数预补偿器）的电路为例。 [参考：44]

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