Design of Guaranteed Cost Strategies Based on Uncertain Nonlinear Differential Games
Xiaodong Li · Electronics Optics & Control · 2010
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.