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状态时滞多采样率线性离散广义因果系统的最优输出调节器设计

曹梦娟 廖福成

北京科技大学学报Issue(4):551-561,11.
北京科技大学学报Issue(4):551-561,11.DOI:10.13374/j.issn1001-053x.2014.04.019

状态时滞多采样率线性离散广义因果系统的最优输出调节器设计

Design of optimal output regulators for multirate linear discrete-time descriptor causal system with time delay

曹梦娟 1廖福成2

作者信息

  • 1. 北京科技大学自动化学院,北京100083
  • 2. 北京科技大学数理学院,北京100083
  • 折叠

摘要

Abstract

This paper introduces the design problem of optimal output regulators for multirate linear discrete-time descriptor causal systems. At first, by making use of the discrete lifting technique the original system is transformed into no state time-delay system in form. Then thought the equivalent transformation, taking advantage of the causal characteristics of the system, it is changed into a nor-mal system. Continuing to apply discrete lifting into the system, a simple single-rate system in form is exported. The performance index function of the original system is modified to that of the single-rate system, and then an optimal output regulator is obtained by using the optimal regulator theory. Through transformation an optimal output regulator for the original system is finally derived. At meantime, the stabilizability and detectability of the exported single-rate system were discussed, and their rigorous mathematical proofs were given. Numerical simulations proved the effectiveness of the preview controller designed in this paper.

关键词

时滞控制系统/因果关系/采样/离散时间系统/最优调节器

Key words

delay control systems/causality/sampling/discrete time systems/optimal regulators

分类

信息技术与安全科学

引用本文复制引用

曹梦娟,廖福成..状态时滞多采样率线性离散广义因果系统的最优输出调节器设计[J].北京科技大学学报,2014,(4):551-561,11.

基金项目

国家自然科学基金资助项目(61174209) (61174209)

北京科技大学学报

OA北大核心CSCDCSTPCD

2095-9389

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