The objective of this paper is to develop an optimal boundary control strategy for the axially moving material system through a mass-damper-spring (MDS) controller at its right-hand-side (RHS) boundary. The partial differential equation (PDE) describing the axially moving material system is combined with an ordinary differential equation (ODE), which describes the MDS. The combination provides the opportunity to suppress the flexible vibration by a control force acting on the MDS. The optimal boundary control laws are designed using the output feedback method and maximum principle theory. The output feedback method only includes the states of displacement and velocity at the RHS boundary, and does not require any model discretization thereby preventing the spillover associated with discrete parameter models. By utilizing the maximum principle theory, the optimal boundary controller is expressed in terms of an adjoint variable, and the determination of the corresponding displacement and velocity is reduced to solving a set of differential equations involving the state variable, as well as the adjoint variable, subject to boundary, initial and terminal conditions. Finally, a finite difference scheme is used to validate the theoretical results.
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e-mail: rffung@ccms.nkfust.edu.tw
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March 2002
Technical Papers
Optimal Boundary Control of an Axially Moving Material System
Rong-Fong Fung, Professor,
e-mail: rffung@ccms.nkfust.edu.tw
Rong-Fong Fung, Professor
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, University Road, Yenchau, Kaohsiung, Taiwan 824, ROC
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Jyh-Horng Chou, Professor,
Jyh-Horng Chou, Professor
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, University Road, Yenchau, Kaohsiung, Taiwan 824, ROC
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Yu-Lung Kuo, Graduate Student,
Yu-Lung Kuo, Graduate Student,
Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, ROC
Search for other works by this author on:
Rong-Fong Fung, Professor
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, University Road, Yenchau, Kaohsiung, Taiwan 824, ROC
e-mail: rffung@ccms.nkfust.edu.tw
Jyh-Horng Chou, Professor
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, University Road, Yenchau, Kaohsiung, Taiwan 824, ROC
Yu-Lung Kuo, Graduate Student,
Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, ROC
Contributed by the Dynamics Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division February 6, 2001; Associate Editor: S. Nair
J. Dyn. Sys., Meas., Control. Mar 2002, 124(1): 55-61 (7 pages)
Published Online: February 6, 2001
Article history
Received:
February 6, 2001
Citation
Fung, R., Chou, J., and Kuo, Y. (February 6, 2001). "Optimal Boundary Control of an Axially Moving Material System ." ASME. J. Dyn. Sys., Meas., Control. March 2002; 124(1): 55–61. https://doi.org/10.1115/1.1435364
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