A fixed-time output feedback control scheme for double integrator systems

Bailing Tian, Zongyu Zuo, Xiaomo Yan, Hong Wang

Research output: Contribution to journalArticlepeer-review

334 Scopus citations

Abstract

A continuous output feedback control scheme rendering the closed-loop double integrator system globally stable in finite-time is presented. In particular, the convergence time is independent of initial conditions. The bi-limit homogeneous technique is used for controller and observer designs with fixed-time convergence. Then, a continuous output feedback control law is proposed for nominal double-integrator system and its perturbed version. The homogeneity and Lyapunov techniques are used to ensure the fixed-time stability of the closed-loop system under output feedback control framework. Finally, the efficiency of the proposed algorithms is illustrated by numerical simulations.

Original languageEnglish
Pages (from-to)17-24
Number of pages8
JournalAutomatica
Volume80
DOIs
StatePublished - Jun 1 2017
Externally publishedYes

Funding

This work was supported by the National Natural Science Foundation of China (61573022,61673034, 61673294,61333007) and The Ministry of Education Equipment Development Fund (6141A0233). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Zhihua Qu under the direction of Editor Andrew R. Teel.

Keywords

  • Bi-homogeneity
  • Double integrator system
  • Fixed-time stability
  • Output-feedback control

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