Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation

Aghayan, Zahra Sadat; Alfi, Alireza; Machado, J. A. Tenreiro

doi:10.1016/j.apm.2020.10.014

Cited by 24 publications

(12 citation statements)

References 43 publications

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“…Secondly, these parameters are substituted into (48) to obtain the upper bound of the neutral term k:k. The third step is to select the appropriate k <k, and put k and other parameters into (49) to obtain the upper bound of the stochastic disturbance σ:σ. Finally, the selected k <k and σ <σ are substituted into (50) to obtain the bound of the piecewise constant argument θ: θ 4 . So far, the upper bounds of all three interference factors (k,σ and θ 4 ) are intuitively obtained.…”

Section: The Robustness Of Snpndsmentioning

confidence: 99%

“…The electrical interconnect and the electromagnetic interference design in digital computers are used as the specific physical application background for delayed neutral-type differential equations has been studied in [41]. The dynamical behaviors for neutral-type nonlinear systems include: stability [42], [43], controllability [44], stabilisation [45], passiveness [46], [47], asymptotic behavior of solutions [48], [49], roubustness [50], [51] and so forth. Therefore, it is practical to consider the GES of nonlinear systems with NTs.…”

Section: Introductionmentioning

confidence: 99%

“…So far, with a view to these three kinds of interference factors: PCA, NT and SD, some investigators researched the robustness or GES of nonlinear systems influenced by single interference factor, such as [6], [20], [24], [25], [26], [30], [33], [50], etc. Some investigators explored the robustness or GES of systems affected by dual interference factors, such as [16], [27], [28], [29], [51], [53] and so forth.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [50] solved the controller gains problems for the robustness of the fractional-order NDS according to the LMI method and the cone complementarity linearization method. Ref.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Xie

2021

IEEE Access

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With a view to the unfavorable impact of the inevitable exogenous interferences for the practical engineering and signal transmission, here we focus on the robustness of global exponential stability for nonlinear dynamical system subject to piecewise constant arguments, neutral terms and stochastic disturbances (SNPNDS). A new troublesome problem is that the neutral terms appeared in the derivative part affected on the other two interference factors is not a simple accumulation, so the Lipchitz condition is adopted to establish the ternary transcendental equations. However, different from previous transcendental equations with single or double variables, solving the transcendental equations with three variables becomes the bottleneck again. Hence, the special independent parameters & interdependent variables method targeted for SNPNDS is adopted here: firstly, all relative independent parameters are fixed. Next, the upper bounds of these three interdependent variables are orderly derived by their coupling relationship. Therein, the optimal constraint conditions for piecewise constant arguments and neutral terms are deduced. Through the strategies mentioned above, a class of algebraic problems of estimating three upper bounds by solving transcendental equations with three variables is settled. Besides, the main method ensures the relationship built among the interference factors is mutually restrictive and dynamic. Meanwhile, the optimized constraints make the linkage effect more comprehensive and valid. Furthermore, the established mechanism is practical enough to be generalized to more multivariable systems. Finally, the numerical simulation comparisons are given to illustrate the validity of the derived results.INDEX TERMS Robustness, nonlinear system, neutral term, piecewise constant argument, stochastic disturbance.

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Section: The Robustness Of Snpndsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Ref. [50] solved the controller gains problems for the robustness of the fractional-order NDS according to the LMI method and the cone complementarity linearization method. Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Xie

2021

IEEE Access

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“…In previous studies, 35,36 some criteria for observer‐based control design of linear FO systems have been derived in the form of LMI. Nevertheless, we can find few works in the literature on the stability and stabilization of fractional‐order neutral‐type (FONT) systems with saturating actuator 37‐39 . In these works, the stability analysis of different types of such systems with control input saturation has been studied.…”

Section: Introductionmentioning

confidence: 99%

Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator

Aghayan

Alfi

Machado

2021

Math Methods in App Sciences

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In practice the states of a system are not directly available that are difficult to measure by sensors. This article proposes an observer‐based controller for fractional‐order neutral‐type delay systems with actuator saturation. A feedback algorithm is constructed by applying the Lyapunov direct method. Moreover, based on the observer, the gains of controller and observer are determined by solving a set of nonlinear matrix inequalities. Therefore, an iterative algorithm including the convex optimization is also proposed to solve the inequalities. An example is given to illustrate the theoretical results.

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Stabilization of delayed fractional‐order T‐S fuzzy systems with input saturations and system uncertainties

Hao

Fang

Liu

2023

Asian Journal of Control

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By adopting the Takagi–Sugeno (T‐S) fuzzy theory, this paper focuses on the adaptive control of fractional‐order time‐delay systems involving unknown parameters and input saturations. T‐S fuzzy systems with “IF‐THEN” rules are employed to describe fractional‐order nonlinear systems. The influence of input saturation is handled by designing an auxiliary system. By using a norm conversion, the system's time‐delay term is converted into a non‐delayed form. Adaptive updating rules are devised to evaluate uncertainties of the system, and a new control approach is proposed. The devised controller can not only guarantee the boundedness of variables involved but also make state variables converge into a sufficiently small neighborhood of the origin, even in the presence of uncertainties, saturation functions, and system parameters. Finally, numerical studies are given to verify the correctness of the designed scheme.

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Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation

Cited by 24 publications

References 43 publications

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator

Stabilization of delayed fractional‐order T‐S fuzzy systems with input saturations and system uncertainties

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