This paper investigates the problem of finite time prescribed performance control (PPC) for a number of nonlinear stochastic systems with asymmetric error constraint, unknown control directions, and actuator faults. Firstly, instead of introducing the performance constraint function in the Lyapunov function, a new asymmetric error conversion function (AECF) is presented, which can successfully constrain the tracking errors into the specified asymmetric boundaries and eliminate the feasibility condition of requiring tracking errors to be bounded. Then, in iterative process, the unknown intermediate virtual controller is approximated by the fuzzy logic system (FLS), which makes each actual virtual controller to be reduced to only one item. Furthermore, the investigated finite time PPC strategy can fully compensate the faults impact on the systems and have only one adaptive parameter. In the end, the efficacy of investigated strategy is verified by inverted pendulum systems with stochastic disturbances.

中文翻译：

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具有不对称误差约束和执行器故障的随机系统的有限时间规定性能控制


本文研究了许多具有不对称误差约束、未知控制方向和执行器故障的非线性随机系统的有限时间规定性能控制（PPC）问题。首先，没有在Lyapunov函数中引入性能约束函数，而是提出了一种新的非对称误差转换函数（AECF），它可以成功地将跟踪误差约束在指定的非对称边界内，消除了要求跟踪误差有界的可行性条件。然后，在迭代过程中，未知的中间虚拟控制器通过模糊逻辑系统（FLS）进行逼近，这使得每个实际虚拟控制器被减少到只有一项。此外，所研究的有限时间PPC策略可以完全补偿故障对系统的影响，并且只有一个自适应参数。最后，通过具有随机扰动的倒立摆系统验证了所研究策略的有效性。