Premium
Combined H ∞ and passivity control for networked control systems with random gain fluctuations and sojourn probabilities: A switched system approach
Author(s) -
Sasirekha R.,
Rakkiyappan R.,
Cao Jinde
Publication year - 2017
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.3748
Subject(s) - passivity , control theory (sociology) , bernoulli's principle , basis (linear algebra) , computer science , network packet , controller (irrigation) , networked control system , transmission (telecommunications) , mathematics , control (management) , engineering , biology , computer network , agronomy , telecommunications , geometry , artificial intelligence , aerospace engineering , electrical engineering
Summary On the basis of the passivity theory, the problem of designing non‐fragileH ∞control for a class of networked control systems (NCSs) with the plant being a switched system is presented. The NCSs under consideration are modeled by considering the network‐induced imperfections like transmission delays and packet dropouts as a single time‐varying delay. The network status is assumed to vary on the basis of sojourn probabilities, and these probabilities are known a prior. The controller is designed including stochastic fluctuations in its gain matrix by considering the Bernoulli distributed white sequence along with time‐varying probability measures. The key steps in this method are to construct an improved Lyapunov–Krasovskii Functional and to utilize reciprocally convex technique. The sojourn probability‐dependent sufficient criteria are obtained to ensure the closed‐loop, mode‐dependent switched NCSs to be robustly stochastically stable on the basis of the combinedH ∞and passivity performance. The effectiveness of the proposed method is illustrated through an example. Copyright © 2017 John Wiley & Sons, Ltd.