Premium
Reliable H ∞ static output control of linear time‐varying delay systems against sensor failures
Author(s) -
Shen Mouquan,
Lim ChengChew,
Shi Peng
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3729
Subject(s) - control theory (sociology) , matrix (chemical analysis) , controller (irrigation) , linear matrix inequality , transformation (genetics) , computer science , control (management) , transformation matrix , linear system , output feedback , mathematics , mathematical optimization , mathematical analysis , materials science , physics , artificial intelligence , gene , agronomy , biochemistry , chemistry , kinematics , classical mechanics , composite material , biology
Summary This paper is concerned with the reliableH ∞static output control of linear time‐varying delay systems with sensor faults. Time‐varying delay is tackled by the input–output transformation and the resulting closed‐loop system lies in the framework of scaled small gain. Some techniques are developed to separate the coupling among the Lyapunov matrix, input matrix, control gain matrix, and output matrix. Based on a relaxed Lyapunov–Krasovskii functional, sufficient conditions for the desired static output controller design with the requiredH ∞performance level are proposed by means of linear matrix inequalities. The effectiveness of the proposed method is validated by two examples. Copyright © 2016 John Wiley & Sons, Ltd.