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arXiv 2103.11292eess.SYcs.SY
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基于干扰观测器的不匹配系统反馈线性化控制

Feedback Linearization Control for Systems with Mismatched Uncertainties via Disturbance Observers

Erkan Kayacan, Thor I. Fossen

摘要:

针对非匹配不确定性,提出了一种基于自学习干扰观测器(SLDO)的反馈线性化控制方法。基于BNDO的FLC(FLC-BNDO)仅对非匹配时不变不确定性表现出鲁棒控制性能,而基于SLDO的FLC(FLC-SLDO)对非匹配时不变和非匹配时变不确定性表现出鲁棒控制性能,且在不存在非匹配不确定性时,两者均保持标称控制性能。在SLDO的估计方案中,BNDO被用来提供一个传统的估计律,它被用作第二类神经模糊系统(T2 NFS)的学习误差,T2 NFS学习不匹配的不确定性。因此,T2 NFS在非常短的时间内完全地对估计信号进行总体控制,并且给出对于干扰的无偏估计结果。针对区间二型模糊逻辑系统,提出了一种基于滑模控制理论的学习算法。对于具有不匹配不确定性的二阶非线性系统,证明了整个系统的稳定性。仿真结果表明,FLC-SLDO的控制性能优于传统的FLC、带积分作用的FLC(FLC-I)和FLC-BNDO。

英文摘要:

This paper focuses on a novel feedback linearization control (FLC) law based on a self-learning disturbance observer (SLDO) to counteract mismatched uncertainties. The FLC based on BNDO (FLC-BNDO) demonstrates robust control performance only against mismatched time-invariant uncertainties while the FLC based on SLDO (FLC-SLDO) demonstrates robust control performance against mismatched time-invariant and -varying uncertainties, and both of them maintain the nominal control performance in the absence of mismatched uncertainties. In the estimation scheme for the SLDO, the BNDO is used to provide a conventional estimation law, which is used as being the learning error for the type-2 neuro-fuzzy system (T2NFS), and T2NFS learns mismatched uncertainties. Thus, the T2NFS takes the overall control of the estimation signal entirely in a very short time and gives unbiased estimation results for the disturbance. A novel learning algorithm established on sliding mode control theory is derived for an interval type-2 fuzzy logic system. The stability of the overall system is proven for a second-order nonlinear system with mismatched uncertainties. The simulation results show that the FLC-SLDO demonstrates better control performance than the traditional FLC, FLC with an integral action (FLC-I) and FLC-BNDO.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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