Fixed-time tracking control is considered for a class of nonlinear systems in this article. Different from the conventional literature on fixed-time control studies, in this article, the nonlinearities of systems are all completely unknown. Fuzzy-logic systems are utilized to model these unknown nonlinearities. To deal with the fixed-time control under the approximation errors, three steps are taken. First, a new criterion of fixed-time stability is developed; second, a new fixed-time control scheme is proposed, which is different from the existing adaptive design method; and third, to analyze the fixed-time stability of the system, two novel inequalities are established. It shows that the proposed fuzzy control scheme can guarantee system performance in a fixed time, and the upper bound of the settling time only depends on the design parameters.

中文翻译：

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一类非线性系统的固定时间模糊控制


本文考虑一类非线性系统的固定时间跟踪控制。与传统的固定时间控制研究文献不同，本文中系统的非线性都是完全未知的。模糊逻辑系统用于对这些未知的非线性进行建模。为了处理近似误差下的固定时间控制，采取了三个步骤。首先，制定了新的定时稳定性判据；其次，提出了一种新的固定时间控制方案，与现有的自适应设计方法不同；第三，为了分析系统的固定时间稳定性，建立了两个新的不等式。结果表明，所提出的模糊控制方案能够在固定时间内保证系统性能，并且稳定时间的上限仅取决于设计参数。