Observer-based SMC design for stochastic systems with Levy noise

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2023-10-18 DOI:10.1093/imamci/dnad028

G Sangeetha, K Mathiyalagan, Yong-Ki Ma, Huiyan Zhang

引用次数: 0

Abstract

Abstract This work addresses the problem of sliding mode control (SMC) design for a continuous-time non-linear stochastic system with Levy-type noise. A state observer model is constructed to estimate the unavailable state information. Furthermore, Levy-type noise is considered to analyse small perturbations and to characterize the appearance of large samples that will occur in the system. Lyapunov stability and SMC theory are used to provide some sufficient conditions that ensure the stochastic stability of the error system and reachability of the predefined sliding surface. Finally, an example is given to demonstrate the feasibility of the proposed approach.

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含Levy噪声随机系统的基于观测器的SMC设计

本文研究了一类具有levy型噪声的连续非线性随机系统的滑模控制设计问题。构造状态观测器模型来估计不可用状态信息。此外，利维型噪声被认为可以分析小的扰动，并表征将在系统中出现的大样本的外观。利用Lyapunov稳定性和SMC理论，给出了保证误差系统随机稳定和预定滑动面可达性的充分条件。最后，通过一个算例验证了所提方法的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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