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Robust reliable H ∞ control design for networked control systems with nonlinear actuator faults and randomly missing measurements
Author(s) -
Arunagirinathan S.,
Muthukumar P.,
Joo Y. H.
Publication year - 2019
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.4602
Subject(s) - control theory (sociology) , bernoulli distribution , nonlinear system , actuator , linear matrix inequality , bernoulli's principle , robust control , stability (learning theory) , computer science , controller (irrigation) , convex optimization , mathematics , exponential stability , mathematical optimization , control (management) , regular polygon , random variable , engineering , statistics , agronomy , physics , geometry , quantum mechanics , artificial intelligence , machine learning , biology , aerospace engineering
Summary In this paper, the robust reliable H ∞ controller is designed for the problem of nonlinear actuator fault case in the uncertain networked control systems with randomly occurring missing data. More precisely, the occurrence of missing measurements is modeled by a stochastic variable in terms of Bernoulli random distribution. Also, the consideration of a nonlinear term in the input control scheme is a novel work for the proposed model. Suitable robust reliable design of control for a practical actuator fault model is constructed to guarantee the asymptotic stability of the system with H ∞ performance level. A new form of Lyapunov‐Krasovskii functional with triple integral terms are formulated, and the reciprocally convex technique is utilized to establish the sufficient stability criterion in the form of linear matrix inequalities. Finally, the effectiveness of the proposed control method is shown through numerical examples, and we can confirm that the derived condition attained less conservatism than the existing results.