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Robust output feedback control for uncertain chaotic systems

机译:不确定混沌系统的强大输出反馈控制

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摘要

Chaos phenomena can be found in many scientific disciplines such as astronomy, biology, chemistry, engineering, geology, mathematics, medicine, meteorology, and even social sciences. Such phenomena can seriously affect the behaviour of some vital applications such as communications and security systems. Hence, a controller is required to handle chaotic behaviours that affect systems stability. In this paper, a robust output feedback controller is proposed to stabilise electronic circuits used in communications and security systems that exhibit chaotic behaviours. The proposed controller is designed to deal with unknown system parameters and time-varying uncertainties. Only the system output is utilised in the proposed controller while estimating the system states. For that purpose, a high gain observer is designed and utilised to estimate the unknown states. In addition, a numerical study is introduced to demonstrate the robustness and effectiveness of the controller design under various system configurations and different operating conditions. As a result, a satisfactory tracking performance is observed.
机译:混沌现象可以在许多科学学科中找到,如天文学,生物学,化学,工程,地质学,数学,医学,气象,甚至社会科学。这种现象可以严重影响一些重要应用的行为,例如通信和安全系统。因此,需要控制器来处理影响系统稳定性的混沌行为。在本文中,提出了一种坚固的输出反馈控制器,以稳定在展示混乱行为的通信和安全系统中使用的电子电路。所提出的控制器旨在处理未知的系统参数和时变不确定性。仅在估计系统状态时,在所提出的控制器中仅使用系统输出。为此目的,设计并利用了高增益观察者来估计未知状态。此外,还引入了数值研究,以展示各种系统配置和不同的操作条件下控制器设计的鲁棒性和有效性。结果,观察到令人满意的跟踪性能。

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