In this paper, a robust fuzzy controller for stochastic nonlinear systems subject to multiple performance constraints is discussed. To solve the problem of stochastic behaviors in nonlinear systems, the covariance control theory and passive control theory are applied based on the concept of energy. Additionally, the pole placement method is considered for the better transient behaviors of the system responses. However, it is known that the control inputs and maximum overshoot of the system responses may become bigger at the same time when the settling time or converge rate of the system is required to be faster. Due to this reason, the input constraint is also considered in the fuzzy controller design method to limit the value of the control gain. Moreover, an effective robust control method is applied to deal with the perturbation of the nonlinear systems. Based on the above performance constraints, the sufficient conditions can be obtained to achieve the stability in the sense of mean square and the multi-performance requirements. Finally, simulation results of the nonlinear synchronous generator system are presented to verify the feasibility and efficiency of the proposed control method.

中文翻译：

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受被动性和方差要求的TS模糊模型的极点定位和输入约束鲁棒模糊控制

在本文中，讨论了一种受多种性能约束的随机非线性系统的鲁棒模糊控制器。为了解决非线性系统中的随机行为问题，基于能量的概念应用了协方差控制理论和被动控制理论。此外，考虑采用极点放置方法以获得更好的系统响应瞬态行为。但是，众所周知，当要求系统的建立时间或收敛速度更快时，控制输入和系统响应的最大过冲可能会同时变大。由于这个原因，在模糊控制器设计方法中也考虑了输入约束，以限制控制增益的值。而且，一种有效的鲁棒控制方法被应用于处理非线性系统的摄动。基于上述性能约束，可以获得足够的条件以实现均方和多功能性能要求的稳定性。最后，给出了非线性同步发电机系统的仿真结果，验证了所提控制方法的可行性和有效性。