Robust stabilization of time delay system against additive perturbations

Akira Kojima, Kenko Uchida, Etsujiro Shimemura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A robust stabilization problem for a system with delays in control is discussed. The solvability of the problem against additive perturbations is characterized by a couple of finite-dimensional Riccati equations, and it is also shown that the required controller has a structure corresponding to both state estimation and prediction. The key point in the derivation is that the time delay system is transformed into a lumped parameter system such that both systems provide equivalent mapping from the disturbance to the regulated output. This approach makes it possible to characterize the H-problem directly based on the modified algebraic Riccati equations.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Place of PublicationPiscataway, NJ, United States
PublisherPubl by IEEE
Pages3053-3055
Number of pages3
Volume3
ISBN (Print)0780304500
Publication statusPublished - 1991
Externally publishedYes
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: 1991 Dec 111991 Dec 13

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period91/12/1191/12/13

Fingerprint

Riccati equations
Time delay
Stabilization
State estimation
Controllers

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Kojima, A., Uchida, K., & Shimemura, E. (1991). Robust stabilization of time delay system against additive perturbations. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 3053-3055). Piscataway, NJ, United States: Publ by IEEE.

Robust stabilization of time delay system against additive perturbations. / Kojima, Akira; Uchida, Kenko; Shimemura, Etsujiro.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Piscataway, NJ, United States : Publ by IEEE, 1991. p. 3053-3055.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kojima, A, Uchida, K & Shimemura, E 1991, Robust stabilization of time delay system against additive perturbations. in Proceedings of the IEEE Conference on Decision and Control. vol. 3, Publ by IEEE, Piscataway, NJ, United States, pp. 3053-3055, Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3), Brighton, Engl, 91/12/11.
Kojima A, Uchida K, Shimemura E. Robust stabilization of time delay system against additive perturbations. In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. Piscataway, NJ, United States: Publ by IEEE. 1991. p. 3053-3055
Kojima, Akira ; Uchida, Kenko ; Shimemura, Etsujiro. / Robust stabilization of time delay system against additive perturbations. Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Piscataway, NJ, United States : Publ by IEEE, 1991. pp. 3053-3055
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