A globally stabilizing receding horizon controller for neutrally stable linear systems with input constraints

Ali Jadbabaie, Claudio De Persis, Tae Woong Yoon

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

5 Citations (Scopus)

Abstract

It is well known that exponentially unstable linear systems can not be globally stabilized in the presence of input constraints. In the case where the linear system is neutrally stable, one can achieve global asymptotic stability using a particular Control Lyapunov Function (CLF)-based controller. Using this particular CLF as terminal cost in a receding horizon scheme, we obtain a receding horizon controller which globally stabilizes such systems. Contrary to previous results, the horizon length is fixed, and can be chosen arbitrarily. The resulting controller also outperforms the CLF controller, since it provides a lower cost as measured by a quadratic performance index.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages1096-1100
Number of pages5
Volume1
Publication statusPublished - 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period02/12/1002/12/13

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ASJC Scopus subject areas

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

Cite this

Jadbabaie, A., De Persis, C., & Yoon, T. W. (2002). A globally stabilizing receding horizon controller for neutrally stable linear systems with input constraints. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 1096-1100)