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Robust H ∞ guaranteed cost control for discrete‐time switched singular systems with time‐varying delay
Author(s) -
Regaieg Mohamed Amin,
Kchaou Mourad,
El Hajjaji Ahmed,
Chaabane Mohamed
Publication year - 2018
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2470
Subject(s) - dwell time , control theory (sociology) , convex optimization , linear matrix inequality , discrete time and continuous time , upper and lower bounds , mathematics , controller (irrigation) , quadratic equation , norm (philosophy) , mathematical optimization , convex combination , stability (learning theory) , regular polygon , computer science , control (management) , law , medicine , clinical psychology , mathematical analysis , statistics , geometry , artificial intelligence , machine learning , political science , agronomy , biology
Summary This paper investigates the problem of control design for a class of uncertain switched singular systems with time‐varying delay. Under mode‐dependent average dwell time and using an appropriate Lyapunov‐Krasovskii functional, the exponential admissibility of the system is analyzed. In order to obtain less conservative conditions, the delay partitioning technique is adopted as well as the improved reciprocally convex approach. By means of the developed admissibility condition, a static output feedback controller is then designed using linear matrix inequality approach. Moreover, by solving an optimization convex problem with constraints, the switched controller is developed to ensure simultaneously the stability of the closed‐loop system and satisfy an optimized upper bound of both the linear quadratic guaranteed cost and the H ∞ norm. Numerical examples are proposed to verify the efficiency and the merits of the method proposed.