scholarly journals IMPROVEMENT OF POWER SUPPLY ELECTROMAGNETIC COMPATIBILITY BY EXTENSION OF CHAOS ANTICONTROL

2005 ◽  
Vol 14 (04) ◽  
pp. 757-770 ◽  
Author(s):  
CRISTINA MOREL ◽  
MARC BOURCERIE ◽  
FRANÇOIS CHAPEAU-BLONDEAU
Keyword(s):  
Electromagnetic Compatibility ◽  
Control Method ◽  
Power Supplies ◽  
Switching Frequency ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Spectral Emission ◽  
Simple Method ◽  
Switch Mode ◽  
Feedback Control Method

Switch-mode power supplies usually emit electromagnetic interferences at the switching frequency and its harmonics. Inducing chaos in these systems has recently been suggested as a means of reducing these spectral emissions, yet at the expense of aggravating the overall magnitude of the ripple in the output voltage. We propose here a new nonlinear feedback control method, which induces chaos, and which is able at the same time to achieve low spectral emission and to maintain a small ripple in the output. The feasibility and usefulness of this new and simple method is shown here with a numerical example, which includes a comparison with the previous control method.

Anticontrol of Chaos Reduces Spectral Emissions

2008 ◽  
Vol 3 (4) ◽  
Author(s):  
Cristina Morel ◽  
Radu Vlad ◽  
Jean-Yves Morel
Keyword(s):  
Nonlinear Systems ◽  
Output Voltage ◽  
Power Supplies ◽  
Chaotic Attractors ◽  
Switching Frequency ◽  
Nonlinear Feedback ◽  
Spectral Emission ◽  
Switch Mode ◽  
Spectral Emissions

Switch-mode power supplies usually emit electromagnetic interferences at the switching frequency and its harmonics. Inducing chaos in these systems has recently been suggested as a means of reducing these spectral emissions, yet at the expense of aggravating the overall magnitude of the ripple in the output voltage. We propose here a new nonlinear feedback, which induces chaos and which is able at the same time to achieve a low spectral emission and to maintain a small ripple in the output. The design of this new and simple controller is based on the propriety that chaotified nonlinear systems present many independent chaotic attractors of small dimensions.

CONTROLLING UNCERTAIN VAN DER POL OSCILLATOR VIA ROBUST NONLINEAR FEEDBACK CONTROL

2004 ◽  
Vol 14 (05) ◽  
pp. 1671-1681 ◽  
Author(s):  
MAO-YIN CHEN ◽  
ZHENG-ZHI HAN ◽  
YUN SHANG ◽  
GUANG-DENG ZONG
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
Reference Signal ◽  
Variable Structure ◽  
Van Der Pol Oscillator ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Van Der Pol ◽  
Feedback Control Method ◽  
System Uncertainties

Combining the backstepping design and the variable structure control, we propose a robust nonlinear feedback control method to control an uncertain van der Pol oscillator even if there exist system uncertainties and external disturbances in this oscillator. If system uncertainties are estimated and some parameters are chosen suitably, the output of van der Pol osicllator can track arbitrary smooth reference signal. Theoretical analysis and numerical simulations verify the effectiveness of this method.

Approximate Finite-Time Stable Control for Simple Interconnected Power Systems

2013 ◽  
Vol 846-847 ◽  
pp. 305-308
Author(s):  
Jian Li Zhao ◽  
Bao Feng Yan ◽  
Bo Chen
Keyword(s):  
Power Systems ◽  
Finite Time ◽  
Control Method ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Extended State ◽  
Interconnected Power Systems ◽  
Feedback Control Method ◽  
Simulation Results ◽  
Stable Control

Considering the simple interconnected power systems, the finite-time stable control problem is studied. A nonlinear feedback control method with dynamic active compensation is proposed, which makes the systems achieves approximately the finite-time stable control. Meantime, in order to solve the problem of system uncertainty and unmeasurable states, an extended state observer is designed. Simulation results show the effectiveness of the control method.

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 Sliding Mode Control for Multiagent System with Time-Delay and Uncertainties: An LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Pengfei Guo ◽  
Jie Zhang ◽  
Ming Lyu ◽  
Yuming Bo
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Sliding Surface ◽  
Simple Method ◽  
Mode Control ◽  
Feedback Control Method ◽  
System With Time Delay

This paper considers the sliding mode control of multiagent systems (MAS) with time-delay and uncertainties in terms of linear matrix inequality (LMI). By constructing virtual feedback control method, the design of control system is simplified for time-delay independent system without uncertainties. For a class of uncertain systems with single time-delay, the essence of SMC design is analyzed in order to acquire a simple method for designing sliding surface. In terms of multiple timedelay system with uncertainties, a sufficient condition for sliding surface with independent time-delay is acquired, while control law is also designed to ensure the robust stability of closed-loop system. Finally, the effectiveness of conclusion is demonstrated by simulation results.

scholarly journals Robust composite nonlinear feedback control for uncertain robot manipulators

2020 ◽  
Vol 17 (2) ◽  
pp. 172988142091480
Author(s):  
Yuan Jiang ◽  
Ke Lu ◽  
Chenglong Gong ◽  
Hao Liang
Keyword(s):  
Robust Control ◽  
Feedback Control ◽  
Control Method ◽  
Robot Manipulators ◽  
Design Method ◽  
Torque Control ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Uncertain Robot

On the basis of the classical computed torque control method, a new composite nonlinear feedback design method for robot manipulators with uncertainty is presented. The resulting controller consists of the composite nonlinear feedback control and robust control. The core is to use the robust control for online approximation of the system’s uncertainty as a compensation term for the composite nonlinear feedback controller. The design method of the new controller is given, and the convergence of the closed-loop system is proved. The simulation results show that the proposed scheme can make the uncertain robot system have strong robustness and anti-interference ability.

A robust control approach for MEMS capacitive micromachined ultrasonic transducer

2018 ◽  
Vol 41 (1) ◽  
pp. 107-116 ◽  
Author(s):  
Yi Qin ◽  
Weijie Sun ◽  
John TW Yeow
Keyword(s):  
Control Method ◽  
Sliding Mode ◽  
Ultrasonic Transducer ◽  
Input Saturation ◽  
Tracking Performance ◽  
Control Law ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Capacitive Micromachined Ultrasonic Transducer

An optimal composite nonlinear feedback control method with integral sliding mode is presented in this paper. The controller extends the travel range of the micro-electromechanical system capacitive micromachined ultrasonic transducer (CMUT). Moreover, enhanced transient response and precise tracking performance is achieved. It is known that CMUT is inherently unstable which results in pull-in phenomenon and it is very sensitive to small perturbations, so one of the major problems is to stabilize the CMUT beyond the pull-in limit with the external disturbances. In addition, the input saturation problem is significant to CMUT. Based on that, a robust control scheme is derived using composite nonlinear feedback control law combined with integral sliding mode control law. Then all the tuning parameters for the proposed control method are converted into a minimization problem and solved by particle swarm optimization algorithm automatically. We verified the effectiveness through extending the travel range of the CMUT gap by three control methods which are proportional integral derivative, composite nonlinear feedback and the method we proposed. The stability and small range tracking performance with three control methods is compared on the pull-in position of CMUT. The simulations show that the proposed control method has desired tracking performance and robustness to external disturbance with input saturation.

Robust time-varying output tracking control in the presence of actuator saturation

2016 ◽  
Vol 40 (1) ◽  
pp. 61-70 ◽  
Author(s):  
Tahereh Binazadeh ◽  
Majid Bahmani
Keyword(s):  
Control Method ◽  
Actuator Saturation ◽  
Sliding Mode ◽  
Reference Signal ◽  
Time Varying ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Feedback Control Method

This paper considers the problem of output tracking of a time-varying reference signal for a class of uncertain systems in the presence of actuator saturation. To achieve this capability, a new controller is proposed by robustifying the generalized composite nonlinear feedback control method with the integral sliding mode controller. Since the proposed controller may be saturated, a precise analysis is done to show its robust performance despite the presence of actuator saturation and model uncertainties. For this purpose, a theorem is given and proved that guarantees the robust output tracking via the proposed control law for three different cases of the saturation function and it is shown that even if the control signal is saturated, the proposed controller achieves output tracking of the time-varying reference signal. Also, in order to show the applicability of the proposed controller, it is applied on two practical systems, the XY-table and inertia wheel inverted pendulum. Computer simulations verify the theoretical results and also display the effective performance of the proposed controller.

Synchronization of Liu-Su-Liu and Liu-Chen-Liu Chaotic Systems by Nonlinear Feedback Control

2019 ◽  
Vol 16 (12) ◽  
pp. 4903-4907
Author(s):  
Regan Murugesan ◽  
Suresh Rasappan ◽  
Pugalarasu Rajan ◽  
Sathish Kumar Kumaravel
Keyword(s):  
Feedback Control ◽  
Nonlinear Control ◽  
Chaotic System ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Nonlinear Control Method ◽  
Different Chaotic Systems

This paper investigates the global chaos synchronization of identical Liu-Su-Liu chaotic systems (2006) and non-identical Liu-Su-Liu chaotic system (2006) and Liu-Chen-Liu chaotic system (2007). In this paper, active nonlinear control method has been successfully applied to synchronize two identical Liu-Su-Liu chaotic systems and then to synchronize two different chaotic systems, viz. Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is effective and convenient to synchronize Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Numerical simulations are also given to illustrate the proposed synchronization approach.

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