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Distributed Optimal Control of Nonlinear Time-Delay System Subject to Delayed Measurements and Communication Disruptions

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Abstract

This paper is focused on a distributed optimal control design for a class of nonlinear time-delay systems with delayed measurements and communication disruptions. The innovation lies in three aspects. The distributed optimal control method which includes an optimal controller and a bounded controller is designed based on Lyapunov function. The availability of data transmitted through the communication channel depends on a feasibility problem. And a sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate assumptions. The significance of this paper is that this distributed optimal control method is applied to time-delay system. Finally, a simulation example is given to verify the effectiveness of the proposed method.

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Correspondence to Baili Su.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 61374004, 61773237, 61473170 and Rizhao Science and Technology Innovation Special Plan (2019cxzx2212).

This paper was recommended for publication by Editor SUN Jian.

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Su, B., Duan, Y. Distributed Optimal Control of Nonlinear Time-Delay System Subject to Delayed Measurements and Communication Disruptions. J Syst Sci Complex 34, 1426–1437 (2021). https://doi.org/10.1007/s11424-020-9302-x

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  • DOI: https://doi.org/10.1007/s11424-020-9302-x

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