skip to main content
Language:
Search Limited to: Search Limited to: Resource type Show Results with: Show Results with: Search type Index

Finite-time H ∞  control for discrete-time switched nonlinear systems with time delay

International journal of robust and nonlinear control, 2015-04, Vol.25 (6), p.914-936 [Peer Reviewed Journal]

Copyright © 2013 John Wiley & Sons, Ltd. ;ISSN: 1049-8923 ;EISSN: 1099-1239 ;DOI: 10.1002/rnc.3121

Full text available

Citations Cited by
  • Title:
    Finite-time H ∞  control for discrete-time switched nonlinear systems with time delay
  • Author: Zong, Guangdeng ; Wang, Ruihua ; Zheng, Weixing ; Hou, Linlin
  • Subjects: average dwell time ; delay-dependent stability conditions ; finite-time boundedness ; H ∞  control ; Switched delay systems
  • Is Part Of: International journal of robust and nonlinear control, 2015-04, Vol.25 (6), p.914-936
  • Description: SummaryIn this paper, the problem of finite‐time H ∞  control is addressed for a class of discrete‐time switched nonlinear systems with time delay. The concept of H ∞  finite‐time boundedness is first introduced for discrete‐time switched delay systems. Next, a set of switching signals are designed by using the average dwell time approach, under which some delay‐dependent sufficient conditions are derived to guarantee the H ∞  finite‐time boundedness of the closed‐loop system. Then, a finite‐time H ∞  state feedback controller is also designed by solving such conditions. Furthermore, the problem of uniform finite‐time H ∞  stabilization is also resolved. All the conditions are cast into linear matrix inequalities, which can be easily checked by using recently developed algorithms for solving linear matrix inequalities. A numerical example and a water‐quality control system are provided to demonstrate the effectiveness of the main results. Copyright © 2013 John Wiley & Sons, Ltd.
  • Publisher: Bognor Regis: Blackwell Publishing Ltd
  • Language: English
  • Identifier: ISSN: 1049-8923
    EISSN: 1099-1239
    DOI: 10.1002/rnc.3121
  • Source: Alma/SFX Local Collection

Searching Remote Databases, Please Wait