Robust adaptive control design for chaotic continuous-time systems

Hiromitsu Ohmori, Yoshinobu Ito, Akira Sano

研究成果: Chapter

抄録

This paper presents a new nonlinear robust adaptive control design for continuous-time chaos systems in the presence of disturbances. The scheme of adaptation is based on the concept of dynamic certainty equivalence (DyCE) and incorporates the design of a fixed(non-adaptive) compensator in the error feedback loop. The fixed compensator is used to realize the high performance of a tracking. The key features of our control design are: (1) use of H minimization design for the fixed compensator, and (2) use of a robust high-order estimator with dead-zone. By using our proposed nonlinear adaptive controller, it can be shown that the chaotic signal of the system dynamics tends to be driven into a well controlled periodic state or a steady state, and conversely, the periodic signal asymptotically converges to chaotic signal. Then it can be seen that our scheme is one of the unified approaches for controlling chaos. The mathematical proof of stability for the total closed loop system is guaranteed. Finally in order to verify the effectiveness of the proposed method, numerical simulations are shown.

本文言語English
ホスト出版物のタイトルProceedings of the IEEE Conference on Decision and Control
編集者 Anon
ページ2355-3592
ページ数1238
出版ステータスPublished - 1996 12 1
イベントProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn
継続期間: 1996 12 111996 12 13

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
3
ISSN(印刷版)0191-2216

Other

OtherProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
CityKobe, Jpn
Period96/12/1196/12/13

ASJC Scopus subject areas

  • 制御およびシステム工学
  • モデリングとシミュレーション
  • 制御と最適化

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