A new adaptive observer design for a class of nonautonomous complex chaotic systems

Aghababa, Mohammad Pourmahmood; Hashtarkhani, Bijan

doi:10.1002/cplx.21586

Cited by 5 publications

(4 citation statements)

References 44 publications

(46 reference statements)

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“…In recent decades, there has been an increasing interest in the study and identification of nonlinear chaotic dynamical properties of real world time and/or spatial series given in interdisciplinary areas of science and engineering such as control engineering , fractional energy and demand model [9], muscular blood vessel , population dynamics , physiological signals , heart rate , molecular systems , and information theory . Moreover, interesting works on the detection of chaos in geophysical phenomena such as rainfall, river flow, lake volume, temperature, pressure, wind velocity have been also reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

Chaos and complexity in mine grade distribution series detected by nonlinear approaches

Aghababa

Sharif

2016

Complexity

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In this article, the underlying dynamics of treating grade distribution is interpreted as a chaotic system instead of a stochastic system for a better understanding. Here, we study the behavior of grade distribution spatial series acquired at the Chadormalu mine in Bafgh city of Iran to distinguish the possible existence of low‐dimensional deterministic chaos. This work applies a variety of nonlinear techniques for detecting the chaotic nature of the grade distribution spatial series and adopts a nonlinear prediction method for predicting the future of the grade distributions. First, the delay time dimension is computed using auto mutual information function to reconstruct the strange attractors. Then, the dimensionality of the trajectories is obtained using Cao's method and, correspondingly, the correlation dimension method is adopted to quantify the embedding dimension. The low embedding dimensions achieved from these methods show the existence of low dimensional chaos in the mining data. Next, the high sensitivity to initial conditions is evaluated using the maximal Lyapunov exponent criterion. Positive Lyapunov exponents obtained demonstrate the exponential divergence of the trajectories and hence the unpredictability of the data. Afterward, the nonlinear surrogate data test is done to further verify the nonlinear structure of the grade distribution series. This analysis provides considerable evidence for the being of low‐dimensional chaotic dynamics underlying the mining spatial series. Lastly, a nonlinear prediction scheme is carried out to predict the grade distribution series. Some computer simulations are presented to illustrate the efficiency of the applied nonlinear tools. © 2016 Wiley Periodicals, Inc. Complexity 21: 355–369, 2016

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Section: Introductionmentioning

confidence: 99%

Chaos and complexity in mine grade distribution series detected by nonlinear approaches

Aghababa

Sharif

2016

Complexity

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“…In [1], a novel power flow controlling method based on chatteringfree terminal sliding-mode control is presented. In [2]- [4], different aspects of observation in chaotic systems are analyzed. Problems such as synchronization and chattering are taken into consideration.…”

Section: Introduction and Motivationsmentioning

confidence: 99%

“…F sin (y(t)) = F 0,max sin(2πy(t)/d); Actuator reluctance force component. k 1 , k 2 Physical parameters of the actuator.…”

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confidence: 99%

A Two-Stage Sliding-Mode High-Gain Observer to Reduce Uncertainties and Disturbances Effects for Sensorless Control in Automotive Applications

Mercorelli

2015

IEEE Trans. Ind. Electron.

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In this paper, a sensorless control of an electromagnetic valve actuator for automotive applications is presented. Based on a nonlinear model, a switching estimator combined with a two-stage observer structure is proposed. The presented structure is basically a high-gain observer (HGO) to reduce the effects of the uncertainties on the electromagnetic valve actuator model and unmeasurable external disturbances coming from the burning phase of the engine and acting against the actuator movement. The proposed sliding-mode observer has the capability of guaranteeing zero average estimation error in finite time, even in the presence of model uncertainties and bounded disturbances. Considerations on constructive aspects concerning observability are made. Two constructive propositions are proven in this paper to realize the observer. A general comparative analysis is proposed, considering other contributions which use Kalman filters, in which aspects of optimality, robustness, and chattering problems are discussed. In particular, an analysis of the computational effort is also reported. Laboratory experiments of the controlled system, which demonstrate promising behavior, are presented and discussed for exhaust valves of an engine. 0278-0046

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“…Synchronization of nonlinear systems, particularly chaotic systems, has attracted the attention of many researchers . Many control techniques have been devised for chaos synchronization . Recently, the limitations of control under constraints imposed by a finite‐capacity information channel have been investigated in detail in the literature of control theory.…”

Section: Introductionmentioning

confidence: 99%

Mutual synchronization behavior for chaotic systems via limited capacity communication channels

et al. 2015

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Several important properties of chaos synchronization of bidirectional coupled systems remain still unexplored. This article investigates synchronization behavior for chaotic systems subject to states quantization. Based on the invariance principle of differential equations, an adaptive feedback scheme is proposed to strictly synchronize chaotic systems via limited capacity communication channels. Furthermore, it is important to point out that the mutual synchronization behavior for bidirectional coupled systems is determined by the amount of transmitting information and the initial states of coupled systems. © 2015 Wiley Periodicals, Inc. Complexity 21: 335–342, 2016

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A new adaptive observer design for a class of nonautonomous complex chaotic systems

Cited by 5 publications

References 44 publications

Chaos and complexity in mine grade distribution series detected by nonlinear approaches

Chaos and complexity in mine grade distribution series detected by nonlinear approaches

A Two-Stage Sliding-Mode High-Gain Observer to Reduce Uncertainties and Disturbances Effects for Sensorless Control in Automotive Applications

Mutual synchronization behavior for chaotic systems via limited capacity communication channels

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