Design of a Robust State Estimator for a Discrete-Time Nonlinear Fractional-Order System with Incomplete Measurements and Stochastic Nonlinearities

Xiujuan Zheng, Huaiyu Wu
2020 IEEE Access  
In the application of navigation system, networked system, and manufacturing process, incomplete data is unavoidable, which may reduce the performance and stability of the systems. It is a crucial and challenging task when the nonlinear fractional-order system is under incomplete data. As a kind of incomplete data, missing measurements assume that the missing rates of multiple sensors are independent of each other. In order to provide a more reliable and robust state estimation algorithm, a
more » ... on algorithm, a nonlinear fractional-order Kalman filtering algorithm considering both the missing measurements and stochastic nonlinearities is proposed in this paper. Then, the convergence and stability of the proposed filter are analyzed. In addition, sufficient conditions have been investigated to guarantee the stochastic stability. Finally, the effectiveness of the state estimator is verified by two numerical examples. INDEX TERMS Nonlinear fractional-order system, missing measurements, stochastic nonlinearities, boundedness, stochastic stability. 10742 This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see http://creativecommons.org/licenses/by/4.0/ VOLUME 8, 2020 HUAIYU WU received the B.S. degree from the
doi:10.1109/access.2020.2965252 fatcat:js77sprq25d4lgrfmsbwvsa44e