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首页> 外文期刊>IMA Journal of Mathematical Control and Information >An adaptive tracking controller design for non-linear singularly perturbed systems using fuzzy singularly perturbed model
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An adaptive tracking controller design for non-linear singularly perturbed systems using fuzzy singularly perturbed model

机译：基于模糊奇异摄动模型的非线性奇异摄动系统的自适应跟踪控制器设计

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摘要

For a class of non-linear singularly perturbed systems with unknown dynamic and external disturbance, an adaptive tracking controller using fuzzy singularly perturbed model is developed. First, a series of dynamic Takagi-Sugeno fuzzy singularly perturbed subsystems are built to approximate a non-linear singularly perturbed system and a stable reference model with the same fuzzy premise is chosen to design both expected trajectory and dynamic performance. Then, a kind of controller including adaptive feedback term is developed to make the states of the closed-loop system follow those of the reference model. The linear feedback gain of the controller can be solved by the linear matrix inequality approach. The adaptive sliding term is used to compensate the uncertainty and alleviate the disturbance. Lyapunov constitute techniques can be used to prove the stability of the closed-loop systems. Finally, the simulations results illustrate the effectiveness of this approach.
机译：针对一类具有未知动态和外部干扰的非线性奇异摄动系统，开发了一种基于模糊奇异摄动模型的自适应跟踪控制器。首先，建立了一系列的动态Takagi-Sugeno模糊奇摄动子系统，以近似非线性奇异摄动系统，并选择具有相同模糊前提的稳定参考模型来设计预期轨迹和动态性能。然后，开发了一种包含自适应反馈项的控制器，以使闭环系统的状态遵循参考模型的状态。控制器的线性反馈增益可以通过线性矩阵不等式方法求解。自适应滑动项用于补偿不确定性并减轻干扰。李雅普诺夫构成技术可用于证明闭环系统的稳定性。最后，仿真结果说明了该方法的有效性。

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