Browsing by Author "Chang, Ching-Ming"

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Anti-control of chaos of single time-scale brushless DC motor
(2006-09-15)
Ge, Zheng-Ming
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Chang, Ching-Ming
;
Chen, Yen-Sheng
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機械工程學系
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Department of Mechanical Engineering
Anti-control of chaos of single time-scale brushless DC motors is studied in this paper. In order to analyse a variety of periodic and chaotic phenomena, we employ several numerical techniques such as phase portraits, bifurcation diagrams and Lyapunov exponents. Anti-control of chaos can be achieved by adding an external constant term or an external periodic term.
Chaos and chaos control for a two-degree-of-freedom heavy symmetric gyroscope
(2007)
Ge, Zheng-Ming
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Hsiao, Chun-Lai
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Chen, Yen-Sheng
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Chang, Ching-Ming
;
機械工程學系
A two-degree-of-freedom heavy symmetric gyroscope is studied in this paper. This system is forced by harmonically periodic vertical vibration to enrich dynamic behaviors. Because of the nonlinear terms of the system, the system exhibits chaotic motion. By applying various numerical results, such as phase portraits, Poincare maps, time history and power spectrum analysis, the behaviors of the periodic and chaotic motion are presented. The effects of the change of parameters in the system can be found in the bifurcation diagrams and parametric diagrams. The method of Lyapunov exponents is used to identify the chaos or regular motions of the systems. Next, nine controlling methods are applied into the systems, in which the modified open-plus-closed-loop control is firstly proposed. Open and feedback loops of controls are both studied. It is found that each controller can effectively control the chaotic orbits to the regular ones.
Chaos control of new Ikeda-Lorenz systems by GYC partial region stability theory
(2009-08-01)
Ge, Zheng-Ming
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Ho, Chun-Yen
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Li, Shih-Yu
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Chang, Ching-Ming
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機械工程學系
A new strategy to achieve chaos control by GYC partial region stability theory is proposed. By using the GYC partial region stability theory, the Lyapunov function is a simple linear homogeneous function of error states, the controllers are more simple and have less simulation error because they are in lower degree than that of traditional controllers. Simulation results for a new Ikeda-Lorenz system show the effectiveness of this strategy. Copyright (C) 2008 John Wiley & Sons, Ltd.
Chaos generalized synchronization of an inertial tachometer with new Mathieu-Van der Pol systems as functional system by GYC partial region stability theory
(2012-03-01)
Yang, Cheng-Hsiung
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Chen, Tsung-Wen
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Li, Shih-Yu
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Chang, Ching-Ming
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Ge, Zheng-Ming
A new strategy to achieve generalized chaos synchronization by GYC partial region stability theory is proposed. By using the GYC partial region stability theory the Lyapunov function is a simple linear homogeneous function of error states and the controllers are more simple and introduce less simulation error because they are in lower order than that of traditional controllers. In simulation examples, an inertial tachometer system and Mathieu-Van der Pol system are used. (C) 2011 Elsevier B.V. All rights reserved.
Chaos synchronization and chaos control of quantum-CNN chaotic system by variable structure control and impulse control
(2010-06-01)
Yang, Cheng-Hsiung
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Ge, Zheng-Ming
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Chang, Ching-Ming
;
Li, Shih-Yu
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機械工程學系
In this paper, we derive some less stringent conditions for the exponential and asymptotic stability of impulsive control systems with impulses at fixed times These conditions are then used to design an impulsive control law for the Quantum Cellular Neural Network chaotic system, which drives the chaotic state to zero equilibrium and synchronizes two chaotic systems. An active sliding mode control method is synchronizing two chaotic systems and controlling chaotic state to periodic motion state And a sufficient condition is drawn for the robust stability of the error dynamics, and is applied to guiding the design of the controllers. Finally, numerical results are used to show the robustness and effectiveness of the proposed control strategy. (C) 2010 Published by Elsevier Ltd
Complete identification of chaos of nonlinear nonholonomic systems
(2010-06-01)
Chang, Ching-Ming
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Ge, Zheng-Ming
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機械工程學系
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Department of Mechanical Engineering
The chaos of nonholonomic systems with two external nonlinear nonholonomic constraints where the magnitude of velocity is a constant and the magnitude of the velocity is a constant with a periodic disturbance, respectively, is completely identified for the first time. The scope of the chaos study is extended to nonlinear nonholonomic systems. By applying the nonlinear nonholonomic form of Lagrange's equations, the dynamic equation is expressed. The existence of chaos in these two nonlinear nonholonomic systems is first wholly proved by all numerical criteria of chaos, i.e., the most reliable Lyapunov exponents, phase portraits, Poincare maps, and bifurcation diagrams. Furthermore, it is found that the Feigenbaum number still holds for nonlinear nonholonomic systems.
Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function
(2009-12-01)
Ge, Zheng-Ming
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Chang, Ching-Ming
;
機械工程學系
;
Department of Mechanical Engineering
The generalized synchronization is studied by applying pure error dynamics and elaborate Lyapunov function in this paper. Generalized synchronization can be obtained by pure error dynamics without auxiliary numerical simulation, instead of current mixed error dynamics in which master state variables and slave state variables are presented. The elaborate Lyapunov function is applied rather than the current plain square sum Lyapunov function, deeply weakening the power of Lyapunov direct method. The scheme is successfully applied to both autonomous and nonautonomous double Mathieu systems with numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved.
Nonlinear generalized synchronization of chaotic systems by pure error dynamics and elaborate nondiagonal Lyapunov function
(2009-02-28)
Ge, Zheng-Ming
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Chang, Ching-Ming
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機械工程學系
;
Department of Mechanical Engineering
By applying pure error dynamics and elaborate nondiagonal Lyapunov function, the nonlinear generalized synchronization is studied in this paper. Instead of current mixed error dynamics in which master state variables and slave state variables are presented, the nonlinear generalized synchronization can be obtained by pure error dynamics without auxiliary numerical simulation. The elaborate nondiagonal Lyapunov function is applied rather than current monotonous square sum Lyapunov function deeply weakening the powerfulness of Lyapunov direct method. Both autonomous and nonautonomous double Mathieu systems are used as examples with numerical simulations. (C) 2007 Elsevier Ltd. All rights reserved.
Pragmatical adaptive chaos control from a new double van der Pol system to a new double Duffing system
(2008-09-15)
Ge, Zheng-Ming
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Li, Shih-Chung
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Li, Shih-Yu
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Chang, Ching-Ming
;
機械工程學系
A new pragmatical adaptive control method for different chaotic systems is proposed. Traditional chaos control is limited to decrease chaos of one chaotic system. This method enlarges the effective scope of chaos control. We can control a chaotic system, e.g. a new chaotic double van der Pol system, to a given chaotic or regular system, e.g. a new chaotic double Duffing system or to a damped simple harmonic system. By a pragmatical theorem of asymptotical stability based on an assumption of equal probability of initial point, an adaptive control law is derived such that it can be proved strictly that the common zero solution of error dynamics and of parameter dynamics is asymptotically stable. Numerical simulations are given to show the effectiveness of the proposed scheme. (C) 2008 Elsevier Inc. All rights reserved.
Robust Chaos Lag Synchronization and Chaos Control of Double Mackey-Glass System by Noise Excitation of Parameters
(2013-01-01)
Yang, Cheng-Hsiung
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Wong, Yu-Ting
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Li, Shih-Yu
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Chang, Ching-Ming
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機械工程學系
Lag synchronization of two uncoupled double Mackey-Glass systems by parameter excited method is presented. By replacing the corresponding parameters with two lag Rayleigh noise signals, the lag synchronization can be successfully achieved. Numerical simulations show the proposed method is effective. Temporary lag synchronization, partial lag synchronization, chaos control and robustness of lag synchronization are also obtained by this method.