2020
DOI: 10.1109/access.2020.2983674
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Stabilization of Chaotic Systems With Both Uncertainty and Disturbance by the UDE-Based Control Method

Abstract: This paper investigates the stabilization of a class of chaotic systems with both model uncertainty and external disturbance. By combining the dynamic feedback control method, and the uncertainty and disturbance estimator (UDE)-based control method, a new UDE-based control method is developed. By using this method, the system stabilization can be achieved by three steps. Illustrative examples using numerical simulations verify the soundness and effectiveness of the proposed method.

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Cited by 78 publications
(57 citation statements)
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“…e purpose of classifying pension participants is to predict the income and expenditure of pension funds more accurately. Finally, we decide to construct the actuarial model combined with the stabilization of chaotic systems and control theory (Yi et al [32]; Liu et al [33]). e pension fund's income (referred to income from the collection) is the multiplication of the number of contributors, contribution base, collection rate, and contribution rate.…”
Section: Actuarial Modelmentioning
confidence: 99%
“…e purpose of classifying pension participants is to predict the income and expenditure of pension funds more accurately. Finally, we decide to construct the actuarial model combined with the stabilization of chaotic systems and control theory (Yi et al [32]; Liu et al [33]). e pension fund's income (referred to income from the collection) is the multiplication of the number of contributors, contribution base, collection rate, and contribution rate.…”
Section: Actuarial Modelmentioning
confidence: 99%
“…erefore, the track can be compressed to find key points and remove redundant data on the premise that there is no loss of essential feature track [11][12][13][14]. In order to reduce the data amount, it is necessary to find the retained or removed data point indicators.…”
Section: Compression Algorithm Based Onmentioning
confidence: 99%
“…When the feedback information from the other variables is not complete, many of the systems can remain chaos [14][15][16] even in the jerk structure as hypogenetic flows [14]. Hot research on chaotic systems mainly focuses on chaos control [17][18][19][20], Lyapunov exponent calculation and analysis [21,22], and doubling and growth of attractors [23,24], and chaotic systems with hidden attractors are also hot research topics because such systems are extremely prone to multistable phenomena, which are a common phenomenon in nature. Considering from equilibrium point, hidden attractors can be mainly of several types, one stable equilibrium [25], a line or plane equilibrium [26,27], or no equilibrium [28].…”
Section: Introductionmentioning
confidence: 99%