scholarly journals Controlling of jerk chaotic system via linear feedback control strategies

2020 ◽  
Vol 20 (1) ◽  
pp. 370 ◽  
Author(s):  
Karam Adel Abed
Keyword(s):  
Feedback Control ◽  
Numerical Solution ◽  
Chaotic System ◽  
Control Strategies ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Jerk System

In this paper, the strategies of linear feedback control for jerk system is considered. These strategies consist  of four strategies (ordinary feedback control, dislocated feedback control,  speed feedback control, and  enhancing feedback control). We propose to  combine between these   strategies and obtained a better result  from this combine. Numerical solution achieved the same results.

The dynamic behavior of a parametrically excited time-periodic MEMS taking into account parametric errors

2016 ◽  
Vol 22 (20) ◽  
pp. 4101-4110 ◽  
Author(s):  
NJ Peruzzi ◽  
FR Chavarette ◽  
JM Balthazar ◽  
AM Tusset ◽  
ALPM Perticarrari ◽  
...  
Keyword(s):  
Feedback Control ◽  
Control Strategies ◽  
Mechanical Energy ◽  
Electrical Energy ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Optimal Linear ◽  
Mems Mass Sensor ◽  
The Mathematical Model ◽  
Time Periodic

Micro-electromechanical systems (MEMS) are micro scale devices that are able to convert electrical energy into mechanical energy or vice versa. In this paper, the mathematical model of an electronic circuit of a resonant MEMS mass sensor, with time-periodic parametric excitation, was analyzed and controlled by Chebyshev polynomial expansion of the Picard interaction and Lyapunov-Floquet transformation, and by Optimal Linear Feedback Control (OLFC). Both controls consider the union of feedback and feedforward controls. The feedback control obtained by Picard interaction and Lyapunov-Floquet transformation is the first strategy and the optimal control theory the second strategy. Numerical simulations show the efficiency of the two control methods, as well as the sensitivity of each control strategy to parametric errors. Without parametric errors, both control strategies were effective in maintaining the system in the desired orbit. On the other hand, in the presence of parametric errors, the OLFC technique was more robust.

scholarly journals Linear Feedback Synchronization Used in the Three-Dimensional Duffing System

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jian-qun Han ◽  
Xu-dong Shi ◽  
Hong Sun
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Control Method ◽  
Three Dimensional ◽  
Lyapunov Stability Theory ◽  
Linear Feedback ◽  
Nonlinear Feedback ◽  
Linear Feedback Control ◽  
Duffing System ◽  
Feedback Control Method

It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to the less computational complexity and the synchronization error. For the problem of feedback synchronization of Duffing chaotic system, in the paper, we firstly established three-dimensional Duffing system by method of variable decomposition and, then, studied the synchronization of Duffing chaotic system and designed the control law based on linear feedback control and Lyapunov stability theory. It is proved theoretically that the two identical integer order chaotic systems are synchronized analytically and numerically.

scholarly journals Charging a quantum battery with linear feedback control

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 500
Author(s):  
Mark T. Mitchison ◽  
John Goold ◽  
Javier Prior
Keyword(s):  
Feedback Control ◽  
Control Strategies ◽  
Field Amplitude ◽  
Linear Feedback ◽  
Storage Device ◽  
Level System ◽  
Linear Feedback Control ◽  
Equilibrium Dynamics ◽  
Quantum Feedback ◽  
Continuous Feedback

Energy storage is a basic physical process with many applications. When considering this task at the quantum scale, it becomes important to optimise the non-equilibrium dynamics of energy transfer to the storage device or battery. Here, we tackle this problem using the methods of quantum feedback control. Specifically, we study the deposition of energy into a quantum battery via an auxiliary charger. The latter is a driven-dissipative two-level system subjected to a homodyne measurement whose output signal is fed back linearly into the driving field amplitude. We explore two different control strategies, aiming to stabilise either populations or quantum coherences in the state of the charger. In both cases, linear feedback is shown to counteract the randomising influence of environmental noise and allow for stable and effective battery charging. We analyse the effect of realistic control imprecisions, demonstrating that this good performance survives inefficient measurements and small feedback delays. Our results highlight the potential of continuous feedback for the control of energetic quantities in the quantum regime.

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