A Joint State and Fault Estimation Scheme for State-Saturated System with Energy Harvesting Sensors

Sensors (Basel). 2024 Mar 20;24(6):1967. doi: 10.3390/s24061967.

Abstract

In this article, the issue of joint state and fault estimation is ironed out for delayed state-saturated systems subject to energy harvesting sensors. Under the effect of energy harvesting, the sensors can harvest energy from the external environment and consume an amount of energy when transmitting measurements to the estimator. The occurrence probability of measurement loss is computed at each instant according to the probability distribution of the energy harvesting mechanism. The main objective of the addressed problem is to construct a joint state and fault estimator where the estimation error covariance is ensured in some certain sense and the estimator gain is determined to accommodate energy harvesting sensors, state saturation, as well as time delays. By virtue of a set of matrix difference equations, the derived upper bound is minimized by parameterizing the estimator gain. In addition, the performance evaluation of the designed joint estimator is conducted by analyzing the boundedness of the estimation error in the mean-squared sense. Finally, two experimental examples are employed to illustrate the feasibility of the proposed estimation scheme.

Keywords: energy harvesting sensors; parameter uncertainties; state and fault estimation; state saturations; time-delayed nonlinear systems.

Grants and funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62001254 and 52202496, the 333 Talent Technology Research Project of Jiangsu under Grants 2022021, and the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province under Grants 22KJB510040, the Basic Science Research Program of Nantong City under Grant JC12022028, and the Nantong social livelihood science and technology project under Grant MS12022015.