Design of an optimal preview controller for a kind of discrete-time system with time-delay

LIAO Fucheng; LIU Heping

doi:10.13374/j.issn1001-053x.2008.04.048

Volume 30 Issue 4

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LIAO Fucheng, LIU Heping. Design of an optimal preview controller for a kind of discrete-time system with time-delay[J]. Chinese Journal of Engineering, 2008, 30(4): 452-460. doi: 10.13374/j.issn1001-053x.2008.04.048

Citation:

LIAO Fucheng, LIU Heping. Design of an optimal preview controller for a kind of discrete-time system with time-delay[J]. Chinese Journal of Engineering, 2008, 30(4): 452-460. doi: 10.13374/j.issn1001-053x.2008.04.048

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Design of an optimal preview controller for a kind of discrete-time system with time-delay

doi: 10.13374/j.issn1001-053x.2008.04.048

LIAO Fucheng^1,2,
LIU Heping²

1. School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China;
2. School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2007-02-27
Rev Recd Date: 2007-04-20

Available Online: 2021-08-06

Abstract

Abstract

A kind of linear discrete-time system with state time-delay and multirate control setting was studied. By using the methods of lifting technique, difference operator and state vector augmentation, the state equation was changed to another equation with no time-delay. And the multirate preview control problem was reduced to the single-rate one which includes an integrator. The desired preview controller was obtained by the standard linear quadratic (LQ) optimal preview control theory. The applicability of the present results was verified by a numerical example.
- preview control,
- multirate digital control system,
- discrete-time lifting technique,
- algebraic Riccati equation,
- servomechanism,
- time-delay system