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.

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 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.

scholarly journals Swing Analysis and Control Research of the Space Tethered Combination in the Maneuver Process

2020 ◽  
Vol 10 (12) ◽  
pp. 4293
Author(s):  
Ban Wang ◽  
Jifeng Guo ◽  
Yuchen Yan ◽  
Chuanping Zhou
Keyword(s):  
Feedback Control ◽  
Control Strategies ◽  
Variable Structure ◽  
Dynamical Model ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Structure Control ◽  
Out Of Plane ◽  
Control Research ◽  
Approximate Linearization

Swing usually occurs in the maneuver process of a tethered combination, which is constituted of a platform, a tether and a target (i.e., space debris) for capture. Therefore, a dynamical model of the space tethered combination was established, based on the maneuver of the mission platform in a short time. The conditions for the three swing formations of the tethered combination were obtained according to the analysis of the dynamical model. In order to solve the swing problem, anti-swing control strategies, based on linear feedback control, approximate linearization control and variable structure control, were proposed, respectively. Furthermore, simulation results verified the correctness and effectiveness of the above strategies. To test the validity of the control strategies, a ground experiment setup was built according to the similarity of dynamics. The experimental results show that linear feedback control and approximate linearization control can suppress the in-plane and out-of-plane swing of the combination rapidly.

Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Xindong Si ◽  
Hongli Yang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
State Feedback Control ◽  
Invariant Sets ◽  
Linear Feedback ◽  
Control Law ◽  
Optimization Approach ◽  
Fractional Order Systems ◽  
Linear Feedback Control ◽  
Computational Point

AbstractThis paper deals with the Constrained Regulation Problem (CRP) for linear continuous-times fractional-order systems. The aim is to find the existence conditions of linear feedback control law for CRP of fractional-order systems and to provide numerical solving method by means of positively invariant sets. Under two different types of the initial state constraints, the algebraic condition guaranteeing the existence of linear feedback control law for CRP is obtained. Necessary and sufficient conditions for the polyhedral set to be a positive invariant set of linear fractional-order systems are presented, an optimization model and corresponding algorithm for solving linear state feedback control law are proposed based on the positive invariance of polyhedral sets. The proposed model and algorithm transform the fractional-order CRP problem into a linear programming problem which can readily solved from the computational point of view. Numerical examples illustrate the proposed results and show the effectiveness of our approach.

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

Master-Slave Global Synchronization for Froude Pendulums via Linear State Error Feedback Control

2013 ◽  
Vol 275-277 ◽  
pp. 2565-2569
Author(s):  
Lin Xu ◽  
Zhong Liu ◽  
Yun Chen
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
Numerical Example ◽  
Linear State ◽  
Synchronization Scheme ◽  
State Error

This paper deals with the global chaos synchronization of master-slave Froude pendulums coupled by linear state error feedback control. A master-slave synchronization scheme of the Froude pendulums under linear feedback control is presented. Based on this scheme, some sufficient criteria for global synchronization are proved and optimized. A numerical example is provided to demonstrate the effectiveness of the criteria obtained.

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