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Delay-dependent decentralized control for nonlinear similar interconnected large-scale systems

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Abstract

In this paper, the problem of delay-dependent decentralized control for a class of nonlinear large-scale interconnected systems with similar structure is investigated, where the linear state vectors, the nonlinear state vectors and the nonlinear interconnections involve time delays. The new similar structure is presented via memory feedback. Based on which, by exploiting the structure of interconnected systems, the new integral inequalities, constrained Lyapunov equations and LMI method, a decentralized memory derivative feedback control strategy is proposed to stabilize the resulting interconnected systems uniformly asymptotically, in addition, the stability domain is estimated. Finally, simulation results show the effectiveness of the proposed approach.

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Acknowledgments

This paper was supported by the National Natural Science Foundation of China, under Grantnumber 61273004 and Natural Science Foundation of Hebei Province, under number F2014203085. The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

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Correspondence to Le Zhao.

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Ma, Y., Zhao, L. & Liu, D. Delay-dependent decentralized control for nonlinear similar interconnected large-scale systems. Int. J. Mach. Learn. & Cyber. 7, 665–678 (2016). https://doi.org/10.1007/s13042-015-0454-2

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  • DOI: https://doi.org/10.1007/s13042-015-0454-2

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