A Unifying Framework for Global Regulation via Nonlinear Output Feedback

Zhong-Ping Jiang, I. Mareels, D. J. Hill, J. Huang

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

Abstract

This paper presents a unifying framework for the problem of robust global regulation via output feedback for nonlinear systems with integral input-to-state stable (iISS) inverse dynamics, subject to possibly unknown control direction. The contribution of the paper is two-fold. Firstly, we consider the problem of global regulation, instead of global asymptotic stabilization (GAS), for systems with generalized dynamic uncertainties. It is shown by an elementary example that GAS is not solvable using conventional smooth output feedback. Secondly, we reduce the stability requirements for the disturbance and demand relaxed assumptions for the system. Using our framework, most of the known classes of output feedback form systems are broadened in several directions: unmeasured states and unknown parameters can appear non-linearly, restrictive matching and growth assumptions are removed, the dynamic uncertainty satisfies the weaker condition of Sontag's integral input-to-state stability, and the sign of high-frequency gain may be unknown. A constructive strategy is proposed to design a dynamic output feedback control law, that drives the state to the origin while keeping all other closed-loop signals bounded.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages1047-1052
Number of pages6
Volume1
DOIs
StatePublished - 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period12/9/0312/12/03

Fingerprint

Feedback
Stabilization
Feedback control
Nonlinear systems
Direction compound
Uncertainty

ASJC Scopus subject areas

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

Cite this

Jiang, Z-P., Mareels, I., Hill, D. J., & Huang, J. (2003). A Unifying Framework for Global Regulation via Nonlinear Output Feedback. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 1047-1052) https://doi.org/10.1109/CDC.2003.1272706

A Unifying Framework for Global Regulation via Nonlinear Output Feedback. / Jiang, Zhong-Ping; Mareels, I.; Hill, D. J.; Huang, J.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2003. p. 1047-1052.

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

Jiang, Z-P, Mareels, I, Hill, DJ & Huang, J 2003, A Unifying Framework for Global Regulation via Nonlinear Output Feedback. in Proceedings of the IEEE Conference on Decision and Control. vol. 1, pp. 1047-1052, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 12/9/03. https://doi.org/10.1109/CDC.2003.1272706
Jiang Z-P, Mareels I, Hill DJ, Huang J. A Unifying Framework for Global Regulation via Nonlinear Output Feedback. In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2003. p. 1047-1052 https://doi.org/10.1109/CDC.2003.1272706
Jiang, Zhong-Ping ; Mareels, I. ; Hill, D. J. ; Huang, J. / A Unifying Framework for Global Regulation via Nonlinear Output Feedback. Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2003. pp. 1047-1052
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