학술논문

Kalman Filter Fusion With Smoothing for a Process With Continuous-Time Integrated Sensor
Document Type
Periodical
Source
IEEE Sensors Journal IEEE Sensors J. Sensors Journal, IEEE. 23(7):7279-7287 Apr, 2023
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Robotics and Control Systems
Sensors
Kalman filters
Time measurement
Observers
Smoothing methods
Sensor systems
Standards
Continuous-discrete (CD) observer
fusion
integrated sensor
kalman filter (KF)
multirate measurement
observability
sliding window smoothing
Language
ISSN
1530-437X
1558-1748
2379-9153
Abstract
Integrated sensor is a well-known methodology of slow sampling rates in chemical processes, which gradually collects material samples within a finite period. This type of infrequent measurement specified for quality variables is a function of states over sampling time. Our objective is to solve the problem of estimating states in fast sampling rates for a continuous-time system in the presence of a slow-rate integrated sensor. For this purpose, two reformulated models are suggested for describing the system, while they do not explicitly include the integral term. Integrated measurement Kalman filter (IMKF) for these two models is presented by the extension of the classical continuous-discrete (CD) kalman filter (KF) to the integrated systems. Then, a novel sliding window smoothing algorithm is proposed for integrated systems using pseudo-estimations of the output, past time information of the fast-rate estimates, and the last available slow-rate measurement. Also, the optimal fusion algorithm employing the estimation results of two reformulated models is extended for the integrated system. Eventually, the observability condition and exponential convergence of observation error are proved for the proposed algorithm. Simulation and experimental implementations are employed to demonstrate the effectiveness of the proposed method through a drum boiler model and a laboratory-scale pressure control process, respectively.