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IMA Journal of Mathematical Control and Information 1999 16(4):377-390; doi:10.1093/imamci/16.4.377
© 1999 by Institute of Mathematics and its Applications
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Predictor control and suboptimal digital redesign for continuous-time systems with delayed input

CHAO P. WEI  and JASON S. H. TSAI 

Control System Laboratory, Department of Electrical Engineering, National Cheng-Kung University Tainan 701, Taiwan, Republic of China

This paper deals with the implementation of a predictor control law and the suboptimal digital redesign for a continuous-time plant with a delayed input. It is shown that the closed-loop eigenvalues of the delayed system designed via a predicted-state feedback controller are identical to those of the non-delayed system with the same gain matrix based on the non-predicted state feedback. Thus, the well-developed design methods of linear quadratic regulators for continuous-time non-delayed systems can be indirectly applied to delayed-input systems. Moreover, for practical implementation by digital computer, we derive a suboptimal digital redesign of the delayed-input system using the predictor control.


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