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IMA Journal of Mathematical Control and Information 2003 20(4):451-486; doi:10.1093/imamci/20.4.451
© 2003 by Institute of Mathematics and its Applications
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Discretized optimal tracker for continuous three-dimensional systems

Jason S. H. Tsai1, Chia Wei Chen1, Jim Shone Li2, Jose I. Canelon3 and Leang S. Shieh3

1 Control System Laboratory, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan 701, Republic of China 2 Air Force Aeronautical & Technical School PO Box 90395, Gang-Shan, Kaohsiung, Taiwan, Republic of China 3 Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204-4005, USA

The discretized quadratic optimal/sub-optimal tracker and the continuous-discrete Roesser model (RM) conversions for linear continuous three-dimensional (3D) systems are newly proposed in this paper. The proposed optimal control approach provides a novel methodology for indirect digital redesign of a continuous 3D RM with a continuous cost function. Moreover, a sub-optimal controller is newly presented, that decrease the overall memory size requirements of the optimal tracker. An Illustrative example is presented to demonstrate the effectiveness of the proposed methods.

Keywords: continuous three dimensional systems; Roesser model; optimal control; suboptimal control; tracker.


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