Optimal Boundary Control of the Axially Moving Materials

• Main Authors: YuLung Kuo, 高宇龍
• Other Authors: RongFong Fung
• Format: Others
• Language: en_US
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/63491389099334601376

碩士 === 中原大學 === 機械工程學系 === 87 === The objective of this paper is to develop the optimal boundary control theory 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 couples with an ordinary differential equation (ODE) which describes the MDS. The coupling provides the opportunity to suppress the flexible vibration by control force acting on the MDS. The optimal boundary control laws are designed by the output feedback method and maximum principle theory. The former controller 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. The optimal boundary controller by utilizing the maximum principle theory 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, finite difference scheme is used to validate the theoretical results.