학술논문

Design of Optimal UKF State Observer–Controller for Stochastic Dynamical Systems
Document Type
Periodical
Source
IEEE Transactions on Industry Applications IEEE Trans. on Ind. Applicat. Industry Applications, IEEE Transactions on. 57(2):1840-1859 Apr, 2021
Subject
Power, Energy and Industry Applications
Signal Processing and Analysis
Fields, Waves and Electromagnetics
Components, Circuits, Devices and Systems
Observers
Robustness
Convergence
Trajectory tracking
Visualization
Uncertainty
Standards
Large deviation principle (LDP)
measurement noise
optimal unscented Kalman filter (UKF)
process noise
robot
state observer–controller
Language
ISSN
0093-9994
1939-9367
Abstract
‘‘Stochastic noise processes” passed through highly nonlinear systems, always pose a significant threat to the industrial plant's stability. A novel generalized optimal “unscented Kalman filter state observer–controller” (UKFOC) algorithm is presented to control these plants effectively and efficiently. The proposed optimal UKFOC provides state “estimation and control” simultaneously, omitting the system's need for a separate controller. The “trajectory exit probability” from the desired boundaries is minimized based on the large deviation principle with the bounded instantaneous “trajectory tracking error” and the “state tracking error.” These boundaries are rationally computed from the error statistics. The convergence and robustness are realized in terms of the error energy under the influence of the noise and the small parametric uncertainties, respectively. The algorithm's superior performance is demonstrated with respect to Lyapunov control and adaptive Lyapunov control based techniques. Finally, the UKFOC is implemented and tested for the commercially available Phantom Omni robot to demonstrate the potential application on a real-time basis.