Delay-Dependent Robust Finite-Time \(H_{\infty }\) Control for Uncertain Large Delay Systems Based on a Switching Method

  • Tingting Guo
  • Baowei Wu
  • Yue-E Wang
  • Xiaoying Wang


The robust finite-time \(H_{\infty }\) control for a kind of uncertain delay systems with large delay period (LDP) is discussed in this paper. First, a switching technique is exploited to transform the original system into a switched delay system. Second, within the limitation of frequency and length rate of LDP, a state feedback controller is designed to guarantee that the closed-loop system is robust finite-time bounded. Third, the finite-time \(H_{\infty }\) performance analysis for the closed-loop system is developed. Finally, two examples are presented to clarify the validity of the proposed approach.


Finite-time \(H_{\infty }\) control Large delay period Switching method Lyapunov functional 



The work was supported by the National Natural Science Foundation of China under Grants 61403241, 11371233, the Fundamental Research Funds for the Central Universities under Grant GK201703009, and the scientific and technological innovation programs of higher education institutions in Shanxi (2017149).


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Tingting Guo
    • 1
  • Baowei Wu
    • 1
  • Yue-E Wang
    • 1
  • Xiaoying Wang
    • 2
  1. 1.College of Mathematics and Information ScienceShaanxi Normal UniversityXi’anChina
  2. 2.Elementary Course DepartmentTianjin Railway Technical and Vocational CollegeTianjinChina

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