Controllability of higher order stochastic fractional control delay systems involving damping behavior

2021 ◽  
Vol 410 ◽  
pp. 126439
Author(s):  
G. Arthi ◽  
K. Suganya
Keyword(s):  
Higher Order ◽  
Delay Systems ◽  
Control Delay ◽  
Damping Behavior ◽  
Fractional Control

Analytical higher-order-theories for noise reduction analysis of viscoelastic composite multilayered shells

2021 ◽  
pp. 095440622098233
Author(s):  
A Alaimo ◽  
C Orlando ◽  
S Valvano
Keyword(s):  
Sound Transmission ◽  
Higher Order ◽  
Sound Insulation ◽  
Viscoelastic Layer ◽  
Multilayered Structures ◽  
Viscoelastic Composite ◽  
Damping Behavior ◽  
Shell Models ◽  
Composite Layers ◽  
Insulation Effect

The noise transmission of aeronautical panels is an important phase of the design process of an airplane. In this work an analytical Navier-type solution, based on higher-order layer-wise shell models, is proposed for the analysis of the sound insulation of laminated panels. The considered multilayered structures are laminated with cross-ply composite layers embedded with interlaminar viscoelastic sheets. The use of the soft interlayers permits to have a passive insulation effect in the study of the sound transmission. In order to take into account the frequency depedent properties of a realistic viscoelastic layer, the damping behavior is modeled through a fractional derivative Zener model. The Rayleigh integral method is used to extrapolate the acoustic indicators for the sound transmission analysis. Some results are presented to validate the efficiency of the present approach, comparing the present solutions with others taken from the literature.

scholarly journals Robust Control Design using Discrete Sliding Mode Control for Higher-Order Uncertain Systems

2020 ◽  
Vol 9 (3) ◽  
pp. 3055-3063
Keyword(s):  
Sliding Mode ◽  
Linear Time ◽  
Higher Order ◽  
Delay Systems ◽  
Phase System ◽  
Sliding Mode Controller ◽  
Error Performance ◽  
Process Output ◽  
Observer Model ◽  
Robust Control Design

This paper considers a tracking problem on discrete-time higher-order linear time-delay systems. The improved observer-model following sliding mode controller (OMF-SMC) is proposed. The combination uses a classical Luyenberger observer based controller to achieve predefined process output and sliding mode controller is added to assure the robustness despite of uncertainty and external disturbances. To show the effectiveness of proposed method, four error performance indices, maximum peak overshoot and settling time are considered rigorously. The simulations results on the non-oscillatory, moderate oscillatory, integrating, unstable and non-minimum phase system demonstrates that the proposed approach performs better compared with classical PID controller, continuous and discrete sliding mode controllers.

Controllability of Nonlinear Deterministic Chaotic Systems with Control-Induced Delay

2021 ◽  
Author(s):  
Suman Kumar
Keyword(s):  
Existence And Uniqueness ◽  
Approximate Controllability ◽  
Chaotic Systems ◽  
Delay Systems ◽  
Parabolic Partial Differential Equation ◽  
Local Lipschitz Condition ◽  
Control Delay ◽  
Banach Contraction ◽  
Sequence Method ◽  
Linear And Nonlinear

Abstract This paper presents the analysis of a class of retarded nonlinear chaotic systems with control-induced delay. The existence and uniqueness of the mild solution are obtained by using the local Lipschitz condition on nonlinearity and Banach contraction principle. The approximate controllability for linear and nonlinear control delay systems has been established by sequence method and using the Nemytskii operator. The application of results is explained through an example of a parabolic partial differential equation.

scholarly journals On the Delay Interval in Which the Control Delay Systems are Stabilizable

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Jiang Wei
Keyword(s):  
Delay Interval ◽  
Delay Systems ◽  
Control Delay

In this paper, we firstly derive some criteria for considered control delay systems to be stabilizable and then get the interval of the control delay, in which the stabilizability of the systems can be kept.

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