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| Optimal Control of Nonlinear Systems Based on Lebesgue Sampling |
| ZHU Mengmeng, SONG Yunzhong
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| School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China |
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Abstract In order to solve the optimal control problem in nonlinear systems, a new event-triggered control strategy based on Lebesgue sampling is proposed based on the performance potential theory. Firstly, according to the optimal control theory, a mathematical model of nonlinear system based on Lebesgue sampling is given. Then, combined with time aggregation method, analytical method and strategy iteration algorithm in Markov decision process, the mathematical model of the constructed mathematical model is solved by Matlab, and the optimal strategy and optimal performance of the system are obtained. Finally, the Lebesgue sampling system is compared with the traditional periodic sampling system. The optimization performance of the two sampling schemes is analyzed in depth, and its advantages and disadvantages of the sampling system are compared. It is concluded that the Lebesgue sampling method can not only improve the system performance, but also solve the "dimensionality disaster" problem of the system. It can reduce the resource consumption of the system to some extent.
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Received: 05 January 2019
Published: 04 July 2019
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