H_infinity state and disturbance joint one-step smoothing estimation for a class of linear discrete-time fractional-order systems

Yantong Mu; Huihong Zhao

doi:10.1117/12.3010578

1 December 2023 H_∞ state and disturbance joint one-step smoothing estimation for a class of linear discrete-time fractional-order systems

Yantong Mu, Huihong Zhao

Author Affiliations +

Proceedings Volume 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023); 129402N (2023) https://doi.org/10.1117/12.3010578
Event: Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 2023, Sipsongpanna, China

Abstract

The classic Kalman filter (KF) seeks to reduce the variance of the estimation error; however, owing to the uncertainty of the system model and the statistical properties of noise, its application is restricted. The mentioned issues can be efficiently fixed using the H_∞ filter. The connection between the Krein space KF and the H_∞ filter is established, and the necessary and sufficient conditions for that are the ܪஶ state and disturbance joint one-step smoothing (SDJOS) estimator, which is determined based on the definition of the H_∞ performance index and state transition matrix (STM) of the linear discrete-time fractional-order system (LDFS). The H∞ SDJOS estimator based on the piecewise Riccati equation is provided using the innovation analysis technique. An example is given to demonstrate the effectiveness of the suggested approach.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yantong Mu and Huihong Zhao "H_∞ state and disturbance joint one-step smoothing estimation for a class of linear discrete-time fractional-order systems", Proc. SPIE 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 129402N (1 December 2023); https://doi.org/10.1117/12.3010578

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