Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers

Masaki Inoue, Teruyo Wada, Toru Asai, Masao Ikeda

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

4 Citations (Scopus)

Abstract

This paper proposes non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. We consider state feedback and dynamic output feedback to make the states of the closed-loop systems decay non-exponentially.We first introduce a non-exponential stability concept that the state of a zero-input time-varying system converges to the origin with an upper bound provided by a specified function. Then, we give non-exponential stabilizability conditions and time-varying controllers to achieve the behavior defined by a desired upper bound function for the closed-loop system. By the proposed methods, we can realize various non-exponential behaviors, which may improve control performance.

Original languageEnglish
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages4090-4095
Number of pages6
DOIs
Publication statusPublished - 2011 Dec 1
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 2011 Dec 122011 Dec 15

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period11/12/1211/12/15

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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  • Cite this

    Inoue, M., Wada, T., Asai, T., & Ikeda, M. (2011). Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 4090-4095). [6161487] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161487