Optimal design and optimal digital redesign for continuous-time input time-delay systems

Jason Sheng-Hon Tsai, M. S. Chen, F. C. Kung

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

This paper addresses two problems: one is the optimal control of an input-delay time-invariant linear system; and the other is a locally optimal-digital redesign of a continuous-time input time-delay system. It is shown that the fundamental closed-loop poles of the time-delay system designed via a predictor control law are identical to those of the non-delay system with the same system matrices. Thus, the well-developed design methods of liner quadratic regulators for the continuous-time non-delay systems can be directly applied to the input time-delay systems. It is also shown that the optimal digital redesign control law developed is able to allocate optimally the eigenvalues of the closed-loop discrete-time time-delay system to a specific region in the complex z-plane and to match closely the states of the digitally controlled closed-loop time-delay system to those of the original continuous-time input-delay system. The controllers proposed can be easily implemented, using computers with a relatively longer sampling period and relatively slower computation speed.

Original languageEnglish
Pages (from-to)315-340
Number of pages26
JournalControl, theory and advanced technology
Volume8
Issue number2
Publication statusPublished - 1992 Jun 1

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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