TY - JOUR ID - 16039 TI - On the Active Vibration Control of Nonlinear Uncertain Structures JO - Journal of Applied and Computational Mechanics JA - JACM LA - en SN - AU - Dertimanis, Vasilis K. AU - Chatzi, Eleni N. AU - Masri, Sami F. AD - Institute of Structural Engineering, Department of Civil, Environmental and Geomatic Engineering, ETH Zurich,‎ Stefano-Franscini-Platz 5, Zurich, 8093, Switzerland AD - Viterbi School of Engineering, University of Southern California, 3620 South Vermont Ave., Los Angeles, CA 90089, USA‎ Y1 - 2021 PY - 2021 VL - 7 IS - Special Issue SP - 1183 EP - 1197 KW - vibration mitigation KW - Nonlinear Adaptive Control KW - unscented Kalman filter KW - Linear-Quadratic Regulator KW - Joint State and ‎Parameter Identification KW - State-feedback Linearization DO - 10.22055/jacm.2020.34007.2322 N2 - This study proposes an active nonlinear control strategy for effective vibration mitigation in nonlinear dynamical systems characterized by uncertainty. The proposed scheme relies on the coupling of a Bayesian nonlinear observer, namely the Unscented Kalman Filter (UKF) with a two-stage control process. The UKF is implemented for adaptive joint state and parameter estimation, with the estimated states and parameters passed onto the controller. The controller comprises a first task of feedback linearization, allowing for subsequent integration of any linear control strategy, such as addition of damping, LQR control, or other, which then operates on the linearized state equations. The proposed framework is validated on a Duffing oscillator characterized by light damping and an uncertain nonlinear parameter under harmonic and stochastic disturbance. The demonstrated performance suggests that the proposed Bayesian approach offers a competitive approach for active vibration suppression in nonlinear uncertain systems. UR - https://jacm.scu.ac.ir/article_16039.html L1 - https://jacm.scu.ac.ir/article_16039_e148250d74471317b7704acf5220b356.pdf ER -