Composite control with observers for a class of stochastic systems with multiple disturbances

Yuanyuan Li; Yunliang Wei

doi:10.3934/dcdss.2022019

Article Contents

2022, Volume 15, Issue 7: 1859-1870. Doi: 10.3934/dcdss.2022019

This issue Previous Article Robust dynamic sliding mode control design for interval type-2 fuzzy systems Next Article Fuzzy adaptive asymptotic tracking of fractional order nonlinear systems with uncertain disturbances

Composite control with observers for a class of stochastic systems with multiple disturbances

Yuanyuan Li and
Yunliang Wei^,

School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

^* Corresponding author: Yunliang Wei
^* Corresponding author: Yunliang Wei

Received: November 2021

Revised: December 2021

Early access: February 2022

Published: July 2022

This work was supported in part by the Youth Creative Team Sci-Tech Program of Shandong Universities (grant no. 2019KJI007) and the Natural Science Foundation of Shandong Province (grant no. ZR2019MF041)

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Abstract

In this paper, the composite anti-disturbances control problem is considered for a class of stochastic systems with multiple disturbances. The states of the system are assumed to be unavailable. A state observer and a disturbance observer are constructed to estimate the states and the matched disturbance respectively. Based on the estimated values of state observer and disturbance observer, a non-fragile composite controller is designed to achieve disturbance attenuation and rejection. By means of the technique of the disturbance compensation control and stochastic control theory, some sufficient conditions are obtained to guarantee that the closed-loop system is asymptotically bounded in mean square or asymptotically stable in probability. Finally, a numerical example is given to verify the validity of the obtained results.

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Mathematics Subject Classification: Primary: 93E03.

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Figure 1. The responses of composite system states

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Figure 2. Errors of the estimation of states of system

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Figure 3. Errors of the estimation of disturbance

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Figure 4. The responses of composite system states

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Figure 5. Errors of the estimation of states of system

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Figure 6. Errors of the estimation of disturbance

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