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Adaptive control for a class of uncertain strict-feedback nonlinear systems based on a generalized fuzzy hyperbolic model

机译:基于广义模糊双曲模型的一类不确定严格反馈非线性系统的自适应控制

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摘要

In this study, we propose an effective method for designing an adaptive controller for a class of uncertain strict-feedback nonlinear systems with unknown bounded disturbances. During the controller design process, all of the unknown functions are accumulated at the intermediate steps to approximate the last step. In addition, only one generalized fuzzy hyperbolic model is used to approximate the total unknown functions for the system. Thus, only the actual control law needs to be implemented and one adaptive law is proposed for the overall controller design process. As a result, the controller design is much simpler and the computational burden is reduced greatly. Using Lyapunov techniques, we obtain the uniformly ultimately bounded stability of all the signals for the closed-loop system. Our simulation results verified the theoretical analysis and they illustrated the superior performance of the method proposed in this study. (C) 2015 Elsevier B.V. All rights reserved.
机译:在这项研究中,我们提出了一种有效的方法,用于为一类不确定的,有界扰动的不确定严格反馈非线性系统设计自适应控制器。在控制器设计过程中,所有未知功能都在中间步骤中累积,以近似最后一步。另外,仅使用一个广义模糊双曲模型来近似系统的总未知函数。因此,仅需执行实际控制律,并为整个控制器设计过程提出一种自适应律。结果,控制器设计更加简单,并且计算负担大大减轻。使用Lyapunov技术,我们获得了闭环系统所有信号的统一最终有界稳定性。我们的仿真结果验证了理论分析,并说明了本研究中提出的方法的优越性能。 (C)2015 Elsevier B.V.保留所有权利。

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