基于不确定非线性微分对策的保代价策略问题,提出了一种模糊设计方法。首先,基于T-S模糊模型方法,将非线性问题模糊线性化;然后,将非线性的问题当成模糊线性化的问题,得出了不确定非线性微分对策的模糊保代价策略存在的充分条件;最后,将模糊保代价策略的存在性等价于LMI的可解性,并通过仿真表明所提方法效果较好,方便了模糊保代价策略的求解。

A method of fuzzy design was proposed for the problem of guaranteed cost strategies based on uncertain, nonlinear differential games.First, based on T-S fuzzy model method, fuzzy linearization was completed for the non-linear problem.Then, the non-linear problem was considered as a fuzzy linear problem, and sufficient conditions for the existence of the fuzzy guaranteed cost strategies for uncertain nonlinear differential games were presented.Finally, the existence of the fuzzy guaranteed cost strategies was equivalent to a feasible solution of LMI.Simulation results showed that the method has a nice effect, which is helpful for obtaining guaranteed cost strategies.