摘要
鉴于协商微分对策多具有强非线性和不确定性特点,为避免非线性问题等带来求解上的困难和能处理不确定信息,基于T-S模糊微分对策的思想,对非线性的基于Utilitarian解(简称U解)的协商微分对策的状态方程和性能分别进行了模糊化和二次型化,构造出面向U解的协商微分对策的模糊线性化模型,研究了协商U解模型中加权系数的确定,并进一步探讨了在模糊线性协商微分对策系统下相应于U解的控制器的设计方法。研究工作和仿真结果可以说明,相对于Nash协商解,协商理论的U解更能反映整体效果,更易于推广。
In order to avoid the difficulty in solving nonlinearity and to be able to cope with uncertain information, state equation and objective function of nonlinear cooperative differential game to Utilitarian solution are fuzzified and quadraticly formed respectively, based on the thought of T-S fuzzy differential game. Linearized fuzzy model of cooperative differential game to U-solution is constructed. The method to determine the weight number of cooperative U-solution model is researched. The design method of the corresponding controller of U-solution is given under the condition of fuzzy linear cooperative differential game. Research work and simulation illustrate that, compared with Nash cooperative solution, U-solution of cooperation theory is better to reflect unitary effect and is easy to popularize.
出处
《控制工程》
CSCD
2007年第1期37-41,48,共6页
Control Engineering of China
基金
航空科学基金资助项目(2000CB080601)
十五国防重点预研项目资助(2002BK080602)
