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Adaptive fuzzy output feedback control for a class of nonaffine nonlinear systems with unknown dead-zone input

机译:一类具有未知死区输入的非仿射非线性系统的自适应模糊输出反馈控制

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In this paper, an adaptive fuzzy backstepping output feedback control approach is developed for a class of SISO nonaffine nonlinear systems with unknown dead-zone input and immeasurable states. Within this scheme, the original nonaffine system is firstly transformed into an affine-like form by using Taylor series expansion, the unknown dead-zone input is treated as a combination of a linear and a bounded disturbance-like term, and a state observer is introduced to estimate the system states. The fuzzy logic systems are utilized to directly approximate the desire virtual control law, and a novel adaptive fuzzy output feedback controller is designed via backstepping. A main advantage of the proposed controller is that only one adaptive parameter needs to be updated online in backstepping design process. Theoretically, it is proved that the presented adaptive fuzzy controller can guarantee that the tracking error converges to a small neighborhood of the origin and all signals in closed-loop are bounded. Finally, the simulation results validate the effectiveness of the proposed scheme.
机译:本文针对一类未知死区输入且状态无法测量的SISO非仿射非线性系统,开发了一种自适应模糊反推输出反馈控制方法。在此方案中,首先通过泰勒级数展开将原始非仿射系统转换为仿射形式,将未知死区输入视为线性项和有界扰动项的组合,并且将状态观察器作为介绍估计系统状态。利用模糊逻辑系统直接逼近期望的虚拟控制律,并通过反推设计了一种新型的自适应模糊输出反馈控制器。所提出的控制器的主要优点是,在后推设计过程中,仅一个自适应参数需要在线更新。从理论上证明,所提出的自适应模糊控制器可以保证跟踪误差收敛到原点的一个小邻域,并且闭环中的所有信号都是有界的。最后,仿真结果验证了所提方案的有效性。

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