31 May 1996 Vibration control of smart structures featuring piezofilm actuator via discrete-time sliding modes
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An active vibration control of a smart flexible structure featuring a piezofilm actuator is presented in this study. A governing equation of motion for the smart beam structure is derived and a state space model is obtained in order to formulate a controller. A new discrete- time sliding mode controller is proposed for a single-input linear system with mismatched uncertainties. The main difference between the discrete-time sliding mode control and the continuous-time sliding mode control is the determination of the existence condition of the sliding mode. In the discrete-time case, both the sliding condition and the convergence condition must be satisfied. In the design of the discontinuous controller, a time-varying gain that is a function of the relation between predetermined sliding surface and representative points in the state space is adopted to minimize a sliding region. In addition, for faster reaching to the sliding surface, an equivalent controller separation method is employed. The proposed controller is applied to the smart structure, and control responses of transient and forced vibrations are evaluated by undertaking both simulation and experiment.
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Seung-Bok Choi and Myoung-Suk Kim "Vibration control of smart structures featuring piezofilm actuator via discrete-time sliding modes", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); doi: 10.1117/12.240838; https://doi.org/10.1117/12.240838

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