Balancing robustness and optimality in sensor placement for dynamic state estimation. (1st August 2019)

• Record Type: Journal Article
• Authors: Hernandez, Eric M.
• Is Part Of: Mechanical systems and signal processing. Volume 128(2019)
• Page Start: 318
• Page End: 328
• Publication Date: 2019-08-01
• Subjects: Optimal sensor placement -- Kalman filter -- Response reconstruction -- Sensitivity analysis -- Robustness; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2019.03.042
• Languages: English
• ISSNs: 0888-3270

Abstract

Highlights: The paper investigates the effects of model error in optimal sensor placement for state estimation. The paper derives a Lyapunov equation whose solution is the sensitivity of the Kalman filter variance to model error. A method is proposed to balance optimality and robustness in Kalman filter. Abstract: The paper derives a Lyapunov equation whose solution is the sensitivity of the Kalman filter state error covariance matrix to structured and parametric model errors in the stiffness and damping of structural systems. This result is utilized to propose an expression to balance optimality and robustness for sensor placement in the presence of parametric model uncertainties. The proposed expressions are successfully verified and illustrated using a six-story steel moment-resisting frame subjected to a ground motion in the presence of uncertainty in element and support stiffness properties.