Optimal synchronization controller design for complex dynamical networks with unknown system dynamics |
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| Authors: | Ya-Wei Cao Guang-Hong Yang Xiao-Jian Li |
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| Institution: | 1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;2. State Key Laboratory of Synthetical Automation of Process Industries, Northeastern University, Shenyang 110819, PR China |
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| Abstract: | 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. |
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| Keywords: | Corresponding author at: College of Information Science and Engineering Northeastern University Shenyang 110819 PR China |
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