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Finite‐time fault tolerant control for stochastic parameter systems with intermittent fault under stochastic communication protocol
Author(s) -
Ju Yamei,
Wei Guoliang,
Ding Derui,
Liu Shuai
Publication year - 2020
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.4986
Subject(s) - control theory (sociology) , fault tolerance , markov chain , discrete time and continuous time , computer science , controller (irrigation) , actuator , linear matrix inequality , lyapunov function , mathematical optimization , mathematics , control (management) , distributed computing , nonlinear system , statistics , physics , artificial intelligence , biology , quantum mechanics , machine learning , agronomy
Summary In this article, the finite‐time fault tolerant control problem is investigated for a class of discrete‐time stochastic parameter systems subject to censored measurements. For the sake of relieving the communication burden, a stochastic communication protocol governed by a Markov chain is employed to determine which actuator has the access to the network at each transmission instant. Moreover, an improved performance index dependent on the predetermined censored threshold is constructed to evaluate the disturbance rejection level of the fault tolerant controller in the simultaneous presence of both external disturbances and censoring effects. The main aim of the addressed problem is to design a fault tolerant controller such that the closed‐loop system satisfies both the stochastically finite‐time boundedness and H ∞ performance requirements. In light of the Lyapunov theory combined with matrix inequalities, some sufficient conditions are derived skillfully, and the desired controller gains are calculated by solving a set of linear matrix inequalities. Finally, two simulation examples are utilized to demonstrate the effectiveness of the developed controller design method.