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在多目标控制中，线性加权法常常被用于把多目标问题转化为单目标问题的研究中。若各子目标与总体目标存在非凸关系时，该方法难以有效。本文构造了一种对策模型来解决这类多目标控制问题，提出了利用对策理论求解这类问题的方法。该方法可将决策人对目标的偏好加入模型中，从而放宽了问题的凸性限制。
In multi-objective control, linear weighting is often used in the study of multi-objective problems into single-goal problems. If the sub-goals and the overall goal of non-convex relationship, the method is difficult to valid. This paper constructs a countermeasure model to solve this kind of multi-objective control problem and proposes a method to solve this kind of problem by using game theory. This method can add the preferences of the decision maker to the target into the model, thus relaxing the convexity limitation of the problem.