Finite-time stochastic input-to-state stability and observer-based controller design for singular nonlinear systems
Articles
Feng Zhao
Linyi University
https://orcid.org/0000-0003-2290-3190
Xiangyong Chen
Linyi University
https://orcid.org/0000-0001-7560-5467
Jinde Cao
Southeast University
https://orcid.org/0000-0003-3133-7119
Ming Guo
Linyi University
Jianlong Qiu
Linyi University
https://orcid.org/0000-0002-9886-3570
Published 2020-11-01
https://doi.org/10.15388/namc.2020.25.20654
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Keywords

finite-time stochastic input-to-state stability
observer
stochastic nonlinear systems
Brownian motion

How to Cite

Zhao F., Chen X., Cao J., Guo M. and Qiu J. (2020) “Finite-time stochastic input-to-state stability and observer-based controller design for singular nonlinear systems”, Nonlinear Analysis: Modelling and Control, 25(6), pp. 980-996. doi: 10.15388/namc.2020.25.20654.

Abstract

This paper investigated observer-based controller for a class of singular nonlinear systems with state and exogenous disturbance-dependent noise. A new sufficient condition for finite-time stochastic input-to-state stability (FTSISS) of stochastic nonlinear systems is developed. Based on the sufficient condition, a sufficient condition on impulse-free and FTSISS for corresponding closed-loop error systems is provided. A linear matrix inequality condition, which can calculate the gains of the observer and state-feedback controller, is developed. Finally, two simulation examples are employed to demonstrate the effectiveness of the proposed approaches.

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