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G Sangeetha, K Mathiyalagan, Yong-Ki Ma, Huiyan Zhang, Observer-based SMC design for stochastic systems with Levy noise, IMA Journal of Mathematical Control and Information, Volume 40, Issue 4, December 2023, Pages 673–690, https://doi.org/10.1093/imamci/dnad028
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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.