Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 356, Issue 12, Pages 6071-6086Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2018.11.054
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Funding
- National Natural Science Foundation of China [61621004, 61420106016, 61873050]
- Fundamental Research Funds for the Central Universities [N180405022]
- State Key Laboratory of Synthetical Automation for Process Industries [2018ZCX03, 2018ZCX14]
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In this paper, the optimal synchronization controller design problem for complex dynamical networks with unknown system internal dynamics is studied. A necessary and sufficient condition on the existence of the optimal control minimizing a quadratic performance index is given. The optimal control law consists of a feedback control and a compensated feedforward control, and the feedback control gain can be obtained by solving the well-known Algebraic Riccati Equation (ARE). Especially, in the presence of unknown system dynamics, a novel adaptive iterative algorithm using the information of system states and inputs is proposed to solve the ARE to get the optimal feedback control gain. Finally, a simulation example shows the effectiveness of the theoretical results. (C) 2019 Published by Elsevier Ltd on behalf of The Franklin Institute.
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