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Observer‐based repetitive model predictive control in active vibration suppression
Author(s) -
Oveisi Atta,
HosseiniPishrobat Mehran,
Nestorović Tamara,
Keighobadi Jafar
Publication year - 2018
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2149
Subject(s) - control theory (sociology) , model predictive control , active disturbance rejection control , feed forward , frequency domain , robustness (evolution) , engineering , parametric statistics , internal model , system identification , controller (irrigation) , computer science , control engineering , state observer , mathematics , control (management) , artificial intelligence , quantum mechanics , physics , software engineering , chemistry , data modeling , biology , biochemistry , agronomy , computer vision , statistics , nonlinear system , gene
Summary In this paper, an observer‐based feedback/feedforward model predictive control (MPC) algorithm is developed for addressing the active vibration control (AVC) of lightly damped structures. For this purpose, the feedback control design process is formulated in the framework of disturbance rejection control (DRC) and a repetitive MPC is adapted to guarantee the robust asymptotic stability of the closed‐loop system. To this end, a recursive least squares (RLS) algorithm is engaged for online estimation of the disturbance signal, and the estimated disturbance is feed‐forwarded through the control channels. The mismatched disturbance is considered as a broadband energy bounded unknown signal independent of the control input, and the internal model principle is adjusted to account for its governing dynamics. For the sake of relieving the computational burden of online optimization in MPC scheme, within the broad prediction horizons, a set of orthonormal Laguerre functions is utilized. The controller design is carried out on a reduced‐order model of the experimental system in the nominal frequency range of operation. Accordingly, the system model is constructed following the frequency‐domain subspace system identification method. Comprehensive experimental analyses in both time‐/frequency‐domain are performed to investigate the robustness of the AVC system regarding the unmodeled dynamics, parametric uncertainties, and external noises. Additionally, the spillover effect of the actuation authorities and saturation of the active elements as two common issues of AVC systems are addressed.