Abstract
Active control of a flexible cantilever plate with multiple time delays is investigated using the discrete optimal control method. A controller with multiple time delays is presented. In this controller, time delay effect is incorporated in the mathematical model of the dynamic system throughout the control design and no approximations and assumptions are made in the controller derivation, so the system stability is easily guaranteed. Furthermore, this controller is available for both small time delays and large time delays. The feasibility and efficiency of the proposed controller are verified through numerical simulations in the end of this paper.
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Project supported by the National Natural Science Foundation of China (Nos. 10772112 and 10472065), the Key Project of Ministry of Education of China (No. 107043) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20070248032).
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Chen, L., Pan, J. & Cai, G. Active Control of a Flexible Cantilever Plate with Multiple Time Delays. Acta Mech. Solida Sin. 21, 257–266 (2008). https://doi.org/10.1007/s10338-008-0829-y
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DOI: https://doi.org/10.1007/s10338-008-0829-y