Genetic algorithm (GA)–based delay feedback control of chaotic behavior in the voltage mode controlled direct current (DC) drive system

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Selcuk Emiroglu ◽  
Yilmaz Uyaroglu

AbstractIn this paper, the chaotic behavior and chaos control in a voltage mode controlled DC drive system are investigated. The dynamical behavior of the system changing from the fundamental state to chaotic regime is obtained by the variation of some parameters. Two kinds of delay feedback controllers are designed to induce and control chaos in the voltage-mode DC drive system that exhibits chaotic behavior under certain conditions. The proposed control scheme is able to suppress chaos on the voltage mode controlled DC drive system operating in continuous conduction mode. With variation of controller parameters, the transition of dynamical behavior in the system has been demonstrated from different possible states to regular state, which may be named as period-1 operation. Unlike the traditional delay feedback control method, not only the feedback gain parameter K but also the delay parameter τ is used as variable parameters of the controller. Moreover, the genetic algorithm is used to simultaneously optimize both the feedback gain parameter K and delay parameter τ to improve the effectiveness of the controller. Numerical results show that the proposed method can control unstable periodic orbits and suppress chaos in the system, and also, optimized controller parameters provide fast response for transition from chaotic operation to normal operation.

2021 ◽  
Vol 21 (2) ◽  
pp. 79
Author(s):  
Supriyanto Praptodiyono ◽  
Hari Maghfiroh ◽  
Joko Slamet Saputro ◽  
Agus Ramelan

The electric motor is one of the technological developments which can support the production process. DC motor has some advantages compared to AC motor especially on the easier way to control its speed or position as well as its widely adjustable range. The main issue in the DC motor is controlling the angular speed with uncertainty and disturbance. The alternative solution of a control method with simple, easy to design, and implementable in a multi-input multi-output system is integral state feedback such as linear quadratic Gaussian (LQG). It is a combination between linear quadratic regulator and Kalman filter. One of the advantages of this method is the usage of fewer sensors compared with the original linear quadratic regulator method which uses sensors as many as the state in the system model. The design, simulation, and experimental study of the application of LQG as state feedback control in a DC-drive system have been done. Both performance and energy were analyzed and compared with conventional proportional integral derivative (PID). The gain of LQG was determined by trial whereas the PID gain is determined from MATLAB autotuning without fine-tuning. The load test and tracking test were carried out in the experiment. Both simulation and hardware tests showed the same result which LQG is superior in integral absolute error (IAE) by up to 74.37 % in loading test compared to PID. On the other side, LQG needs more energy, it consumes higher energy by 6.34 % in the load test.


Author(s):  
J.H. Chen ◽  
K.T. Chau ◽  
S.M. Siu ◽  
C.C. Chan
Keyword(s):  

2002 ◽  
Vol 131 (2) ◽  
pp. 251-264 ◽  
Author(s):  
Teresa Orlowska-Kowalska ◽  
Krzysztof Szabat ◽  
Krzysztof Jaszczak

Author(s):  
Kaiwei Wu ◽  
Chuanbo Ren ◽  
Yuanchang Chen

Time-delay feedback control can effectively broaden the damping frequency band and improve the damping efficiency. However, the existing time-delay feedback control strategy has no obvious effect on multi-frequency random excitation vibration reduction control. That is, when the frequency of external excitation is more complicated, there is no better way to obtain the best time-delay feedback control parameters. To overcome this issue, this paper is the first work of proposing an optimal calculation method that introduces stochastic excitation into the process of solving the delay feedback control parameters. It is a time-delay control parameter with a better damping effect for random excitation. In this paper, a 2 DOF one-quarter vehicle suspension model with time-delay is studied. First, the stability interval of time-delay feedback control parameters is solved by using the Lyapunov stability theory. Second, the optimal control parameters of the time-delay feedback control under random excitation are solved by particle swarm optimization (PSO). Finally, the simulation models of a one-quarter vehicle suspension simulation model are established. Random excitation and harmonic excitation are used as inputs. The response of the vehicle body under the frequency domain damping control method and the proposed control method is compared and simulated. To make the control precision higher and the solution speed faster, this paper simulates the model by using the precise integration method of transient history. The simulation results show that the acceleration of the vehicle body in the proposed control method is 13.05% less than the passive vibration absorber under random excitation. Compared with the time-delay feedback control optimized by frequency response function, the damping effect is 12.99%. The results show that the vibration displacement, vibration velocity, and vibration acceleration of the vehicle body are better than the frequency domain function optimization method, whether it is harmonic excitation or random excitation. The ride comfort of the vehicle is improved obviously. It provides a valuable tool for time-delay vibration reduction control under random excitation.


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