The optimal robust control with a fuzzy approach is applied to design the electric helicopter tail reduction system in this article. Firstly, the fuzzy dynamical model of the electric helicopter tail reduction system with uncertainties and external disturbances is established, which may be time varying. Then, we propose a deterministic robust controller (differing from IF-THEN rules in traditional fuzzy control) to solve the uncertain problem in electric helicopter tail reduction systems. The electromechanical system with the proposed controller is proved to be stable via the Lyapunov function. The control gain with an optimal design is considered, which minimizes a fuzzy performance index associated with both the control error and the control cost. Furthermore, simulations compared with linear-matrix-inequality control are made to validate the effectiveness and stability of the optimal robust controller. All results show that the performance of the fuzzy electric helicopter tail reduction system can be always guaranteed by this optimal robust control approach.

中文翻译：

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电动直升机减尾系统的鲁棒控制设计：模糊与最优视图

本文采用模糊方法的最优鲁棒控制设计了电动直升飞机尾翼减少系统。首先，建立了具有不确定性和外部干扰的电动直升机减尾系统的模糊动力学模型，该模型可能是时变的。然后，我们提出了确定性鲁棒控制器（不同于传统模糊控制中的IF-THEN规则）来解决电动直升机减尾系统中的不确定性问题。利用李雅普诺夫函数证明了带有所提出的控制器的机电系统是稳定的。考虑具有最佳设计的控制增益，该增益使与控制误差和控制成本相关的模糊性能指标最小。此外，进行了与线性矩阵不等式控制相比的仿真，以验证最优鲁棒控制器的有效性和稳定性。所有结果表明，通过这种最优鲁棒控制方法可以始终保证模糊电动直升机减尾系统的性能。