Open AccessImprovement on the problem of output feedback fuzzy H ∞ ‐tracking control design for non‐linear discrete‐time systems with state and input delay
Author(s) -
Esfahani Said H.
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.1378
Subject(s) - control theory (sociology) , linear matrix inequality , mathematics , nonlinear system , bounded function , fuzzy logic , fuzzy control system , discrete time and continuous time , norm (philosophy) , stability (learning theory) , tracking (education) , controller (irrigation) , full state feedback , state (computer science) , set (abstract data type) , computer science , control (management) , mathematical optimization , algorithm , physics , pedagogy , artificial intelligence , law , mathematical analysis , biology , psychology , quantum mechanics , machine learning , political science , agronomy , programming language , statistics
This study is concerned with the problem of output feedback fuzzy H ∞ ‐tracking control design for nonlinear time‐delay systems. Initially, a discrete‐time Takagi–Sugeno (T–S) modelling approach is applied. Then a general and extended structure for the controller is assumed. Finally, a linear matrix inequality (LMI) approach is offered to find the possible solutions. The final design will result in the closed‐loop stability of the system together with minimising the H ∞ ‐tracking control norm to some reference and bounded signals. Despite the existing results which offer a set of coupled LMIs and a double step algorithm to find a possible solution, the authors' results are a single step and less conservative. Moreover, the authors let the time delay to exist both in state and input matrices of the T–S fuzzy model. Two simulation examples are given to illustrate the effectiveness of the obtained method in comparison with the existing ones.