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Multiple-mode Adaptive State Estimator for Nonlinear Switched Systems
Junqi Yang,Yantao Chen,Lizhi Cui 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
This paper deals with the issue of state estimator design for nonlinear switched systems. A multiplemodeadaptive estimator is proposed under mode-dependent average dwell time (MDADT) switching, and theswitching signal with MDADT constraint is also obtained to guarantee the exponential stability of estimation errordynamics, where the Lipschitz constant may be unknown since it is adaptively adjusted by designing an adaptationlaw. Based on both Lyapunov stable theory and the feasible solution of an optimization problem with linear matrixinequality constraint, the gain matrices and switching signals are provided, respectively. The sufficient conditionsof the existence of multiple-mode adaptive switched estimator are also derived. Meanwhile, the above methodsare also extended to the case of the average dwell time (ADT) switching, and an algorithm is given to summarizethe implementation of the proposed estimators. Finally, the effectiveness of the designed methods is illustrated bysimulation examples.
Guojun Pan,Ke Yang,Yantao Ma,Xia Zhao,Kui Lu,Peng Yu 대한화학회 2015 Bulletin of the Korean Chemical Society Vol.36 No.5
C-6 and C-8 monobromo flavonoids are important building blocks for the synthesis of flavonoid natural products and their derivatives. Bromination of suitably alkylated flavonoids with N-bromosuccinimide in dichloromethane (DCM), followed by deprotection with BCl3, gives either a C-6 or a C-8 monobromo flavonoid in high yield and with high regioselectivity, depending on the protection pattern of the C-5 and C-7 OH groups. The mild and neutral conditions are particularly useful for the regioselective bromination of acid-labile substrates.