Abstract
The synchronization control problem for a class of nonlinear complex dynamical networks with network attacks and actuator faults is addressed in this paper. The main contributions are as follows: (1) The proposed controller can be used to compensate for nonlinearity and actuator faults simultaneously; (2) in contrast to existing network attacks results, in which an identity input matrix is considered, the input matrix considered in this paper is an arbitrary one and is more general. In particular, a new adaptive controller is developed by introducing a fuzzy logic system (FLS) to approximate the nonlinear uncertainty. By introducing an adaptive mechanism to estimate the norm of weight vector in the FLS, the proposed FLS-based controller can compensate for the effect of nonlinearity under actuator faults. By using matrix factorization technique and sliding mode control method, the developed method is shown to be resilient to network attacks. Moreover, it is proven that the proposed control method can guarantee asymptotic convergence of synchronization errors. Finally, an illustrative example is used to demonstrate the efficiency and effectiveness of the developed method.
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Acknowledgements
The authors would like to acknowledge the funding support from the Ministry of Education (MOE), Singapore (Grant No. MOE2017-T2-1-050) and National Natural Science Foundation of China (Grant Nos. 61773056, 61473195 and 61873338) and the Taishan Scholars (No.tsqn201812052).
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Er, M.J., Deng, C., Su, SF. et al. Fuzzy Synchronization Control of Complex Dynamical Networks Under Network Attacks and Actuator Faults. Int. J. Fuzzy Syst. 21, 2043–2053 (2019). https://doi.org/10.1007/s40815-019-00675-1
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DOI: https://doi.org/10.1007/s40815-019-00675-1