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.
朱萌萌, 宋运忠. 基于勒贝格采样的非线性系统优化控制[J]. 复杂系统与复杂性科学, 2019, 16(1): 83-93.
ZHU Mengmeng, SONG Yunzhong. Optimal Control of Nonlinear Systems Based on Lebesgue Sampling. Complex Systems and Complexity Science, 2019, 16(1): 83-93.
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