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Overparameterized robust MRAC for rejection of unknown periodic disturbances acting on unknown plants in the presence of noise

机译:过度公共能力鲁棒MRAC,用于拒绝在噪声存在下作用于未知植物的未知周期性障碍

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The problem of rejecting unknown sinusoidal disturbances in the output of an unknown LTI system which is also corrupted by wide-band noise has received a lot of interest in the recent years. Most of the successful efforts proposed up to now assume that the model of the LTI system is stable and is known exactly. This paper shows how an overparameterized classical robust model-reference adaptive control (MRAC) scheme can handle the problem of simultaneous reference-model tracking and unknown disturbance suppression. The results are applicable to a plant whose dominant modeled part is unknown and possibly unstable, yet has stable zeros and a known relative degree. Some considerations are taken to avoid boosting broadband noise effects on the plant output and to improve robustness with respect to plant unstructured unmodeled dynamics. The architecture of the classical MRAC is employed together with overparameterization of the controller and an auxiliary control input for performance improvement. The performance and robustness properties of the scheme are discussed and numerical simulations are given to demonstrate the efficacy of the scheme.
机译:在近年来越来越多地接受了宽带噪声损坏的未知LTI系统输出中未知正弦扰动的问题。现在提出的大多数成功努力假设LTI系统的模型是稳定的并且完全是已知的。本文展示了过度分辨的经典鲁棒模型参考自适应控制(MRAC)方案可以处理同时参考模型跟踪和未知干扰抑制问题。结果适用于主要建模部分未知的植物,并且可能不稳定,但具有稳定的零和已知的相对程度。采取一些考虑因素来避免促进对植物输出的宽带噪声影响,并改善植物非结构化未拼接动态的鲁棒性。经典MRAC的架构与控制器的过次参数化和用于性能改进的辅助控制输入一起使用。讨论了该方案的性能和稳健性,并给出了数值模拟来证明该方案的功效。

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