Quadratic Differential Games Based On The Uncertainty Of Countermeasures Information Structure

Quadratic differential games are an important class of differential game, but it's a complicated and difficult problem that research on the parameter uncertainty quadratic differential for the design of guaranteed cost strategy. In this paper, the problem of design of guaranteed cost strategy for the parameter uncertainty quadratic differential game is studied. Based on some of the modern control theory point of views, theories and methods, the existence and design methods of guaranteed cost strategy for the linear quadratic differential games with uncertain parameters and non-linear quadratic differential with uncertain parameters are mainly discussed. This paper mainly includes the following two parts (see the third chapter):1.By constructing matrix inequality of appropriate conditions and combining the technique of analyzing inequality, the existence of guaranteed cost strategy issues for linear quadratic differential games with parameter uncertain time-delay are analyzed and discussed, and the existence of guaranteed cost strategy sufficient conditions for linear quadratic differential games with parameter uncertain time-delay are obtained..2.Research on the problem of the design of guaranteed cost strategy for nonlinear quadratic differential games with parameter uncertainty. Based on T-S fuzzy model, the non-linear problem of fuzzy linear is completed, the sufficient condition for the existence of the guaranteed cost strategies and design methods with the parameters of nonlinear quadratic differential games are obtained by the use of LMI methods for linear quadratic differential games of the study and numerical examples are given to illustrate the feasibility and effectiveness of the proposed method.