Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay

Mohammadzadeh, Ardashir; Ghaemi, Sehraneh

doi:10.1007/s11071-018-4290-2

Cited by 43 publications

(10 citation statements)

References 23 publications

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“…In this article, SOS algorithm results in Av of 88.61 dB, UGB of 112.2 MHz, P diss of 18.63µW and the overall area occupied by MOS transistors as 11.9402 µm 2 , as shown in Table 4. Thus, SOS algorithm produces much better results for Av, UGB, P diss and the overall area occupied by MOS transistors in comparison with those of the results reported in [14,15]. So, the SOS algorithm proves to have the best optimising ability for the work presented in this article.…”

Section: Simulation Results For Nulling Resistor Compensationbased Opmentioning

confidence: 52%

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Optimal designs of nulling resistor compensation and a robust bias‐based op‐amp circuit using an evolutionary approach

Maj

Kar

Mandal

et al. 2019

IET Circuits, Devices & Systems

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This article suggests an evolutionary optimisation method namely symbiotic organisms search (SOS) algorithm-based area optimised designs of a nulling resistor compensation circuit and a robust bias-based complementary metal oxide semiconductor (CMOS) analogue operational amplifier (op-amp) circuit. SPICE simulator is used to validate the results obtained by using the optimisation technique SOS. The results obtained by SPICE simulation confirm that all the design specifications are accurately satisfied for both the circuits considered here. The results also prove that the SOS algorithm is superior to the formerly reported methods in terms of the gain, power dissipation, area etc., for both the individual circuits. Design steps for nulling resistor compensationbased op-amp circuit The op-amp is considered as the fundamental circuit used in analogue IC design. Uses of two-stage op-amps are found in many

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Section: Simulation Results For Nulling Resistor Compensationbased Opmentioning

confidence: 52%

“…A reliability‐aware analogue circuit sizing approach is used for op‐amp design in [13]. In [14, 15], the design of uncertain fractional order chaotic systems with tuning‐free parameters for the use of general purpose type‐2 fuzzy system are analysed.…”

Section: Introductionmentioning

confidence: 99%

Optimal designs of nulling resistor compensation and a robust bias‐based op‐amp circuit using an evolutionary approach

Maj

Kar

Mandal

et al. 2019

IET Circuits, Devices & Systems

View full text Add to dashboard Cite

show abstract

“…The neural network shows a significant ability to deal with unmodeled parts [20]. A recurrent non-singleton type-2 sequential fuzzy neural network control scheme is developed in [21] to address fractional-order chaotic systems with uncertain dynamics. Adaptive control method is widely used for nonlinear system [22]- [24].…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Command Filtered Adaptive Neural Network Tracking Control for Fractional-Order Chaotic PMSM

Wang

2019

IEEE Access

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In this paper, an observer-based command filtered adaptive neural network tracking control problem is addressed for a fractional-order chaotic permanent magnet synchronous motor (PMSM) with the immeasurable state, parameter uncertainties, and external load disturbance. First, the Chebyshev neural networks are introduced to approximate the nonlinear and unknown functions. Next, a neural network reducedorder state observer is designed to obtain the unmeasured state. Then, the command filtering approach based on the first-order Levant differentiator is developed to solve the ''explosion of complexity'' issue of backstepping, and a novel fractional-order error compensation mechanism is employed, which can remove the filtering errors in finite time. After that, the continuous frequency distributed model is investigated to design proper Lyapunov function, and it is demonstrated that the proposed control method not only ensures that all signals in the fractional-order PMSM system are bounded but also suppresses chaotic oscillation. Finally, the simulation studies are provided to verify the correctness and effectiveness of the proposed scheme.

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“…In the past decades, due to the wide application of neural network in signal processing, pattern recognition, static image processing, associative memory and many other fields, considerable attention has been paid to the stability of neural network, and abundant research results have been achieved [1]- [4]. At the same time, there may be many modes in the neural network.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

Sun

2019

IEEE Access

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In this paper, the stability of Markov jumping neural network (MJNN) with mixed delays under the control of finite frequency domain Parallel Distributed Compensation (PDC) controller is studied. By introducing the generalized-KYP lemma, the frequency domain analysis is combined with the neural network. The positive definite and negative definite conditions in Lyapunov stability theory are improved by using Bessel-Legendre inequality method. Sufficient conditions for the stability of the system are given and proved. Finally, numerical examples show that the system can maintain stability under the control of the PDC controller at low, medium and high frequencies.INDEX TERMS Mixed Time-varying-delayed, Markov jumping neural network, linear matrix inequalities, finite frequency, PDC controller.

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Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay

Cited by 43 publications

References 23 publications

Optimal designs of nulling resistor compensation and a robust bias‐based op‐amp circuit using an evolutionary approach

Optimal designs of nulling resistor compensation and a robust bias‐based op‐amp circuit using an evolutionary approach

Observer-Based Command Filtered Adaptive Neural Network Tracking Control for Fractional-Order Chaotic PMSM

Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

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