Browsing by Author "Yang, Cheng-Hsiung"

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Adaptive synchronization of chaotic systems with unknown parameters via new backstepping strategy
(2012-11-01)
Li, Shih-Yu
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Yang, Cheng-Hsiung
;
Lin, Chin-Teng
;
Ko, Li-Wei
;
Chiu, Tien-Ting
In this paper, a new effective approach-backstepping with Ge-Yao-Chen (GYC) partial region stability theory (called BGYC in this article) is proposed to applied to adaptive synchronization. Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller, and it presents a systematic procedure for selecting a proper controller in chaos synchronization. We further combine the systematic backstepping design and GYC partial region stability theory in this article, Lyapunov function can be chosen as a simple linear homogeneous function of states, and the controllers and the update laws of parameters shall be much simpler. Further, it also introduces less simulation error-the numerical simulation results show that the states errors and parametric errors approach to zero much more exactly and efficiently, which are compared with the original one. Two cases are presented in the simulation results to show the effectiveness and feasibility of our new strategy.
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
;
Chen, Tsung-Wen
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Li, Shih-Yu
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Chang, Ching-Ming
;
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
;
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
Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control
(2009-10-30)
Ge, Zheng-Ming
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Yang, Cheng-Hsiung
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機械工程學系
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Department of Mechanical Engineering
By the method of quadratic optimum control, a quadratic optimal regulator is used for synchronizing two complex chaotic systems in series form. By this method the least error with less control energy is achieved, and the optimization on both energy and error is realized synthetically. The simulation results of two Quantum-CNN chaos systems in series form prove the effectiveness of this method. Finally, chaotization of the system is given by optimal control. (C) 2009 Elsevier Ltd. All rights reserved.
Chaotic Motions in the Real Fuzzy Electronic Circuits
(2013)
Li, Shih-Yu
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Yang, Cheng-Hsiung
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Lin, Chin-Teng
;
Ko, Li-Wei
;
Chiu, Tien-Ting
Fuzzy electronic circuit (FEC) is firstly introduced, which is implementing Takagi-Sugeno (T-S) fuzzy chaotic systems on electronic circuit. In the research field of secure communications, the original source should be blended with other complex signals. Chaotic signals are one of the good sources to be applied to encrypt high confidential signals, because of its high complexity, sensitiveness of initial conditions, and unpredictability. Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. Takagi-Sugeno (T-S) fuzzy model is a powerful tool, which is described by fuzzy IF-THEN rules to express the local dynamics of each fuzzy rule by a linear system model. Accordingly, in this paper, we produce the chaotic signals via electronic circuits through T-S fuzzy model and the numerical simulation results provided by MATLAB are also proposed for comparison. T-S fuzzy chaotic Lorenz and Chen-Lee systems are used for examples and are given to demonstrate the effectiveness of the proposed electronic circuit.
Controlling Hyperchaos and Chaotic Projective Hybrid Synchronization with Time Delay in a Three Positive Lyapunov Exponents of New Four Dimensions Chen System by Adaptive Control
(2011-11-01)
Yang, Cheng-Hsiung
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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
This paper examined chaos and control of hyperchaos for the three positive Lyapunov exponents of the new four dimensions Chen system. By applying numerical results, phase portrait, Lyapunov exponent and power spectrum were manifested and chaotic, hyperchaotic and three positive Lyapunov exponents of chaotic motions were thereby observed. Finally, adaptive control algorithm was used to effectively control chaos and chaos synchronization.
Fuzzy adaptive synchronization of time-reversed chaotic systems via a new adaptive control strategy
(2013-02-10)
Li, Shih-Yu
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Yang, Cheng-Hsiung
;
Chen, Shi-An
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Ko, Li-Wei
;
Lin, Chin-Teng
A novel adaptive control strategy is proposed herein to increase the efficiency of adaptive control by combining Takagi-Sugeno (T-S) fuzzy modeling and the Ge-Yao-Chen (GYC) partial region stability theory. This approach provides two major contributions: (1) increased synchronization efficiency, especially for parameters tracing and (2) a simpler controller design. Two simulated cases are presented for comparison: Case 1 utilizes normal adaptive synchronization, whereas Case 2 utilizes the Takagi-Sugeno (T-S) fuzzy model-based Lorenz systems to realize adaptive synchronization via the new adaptive scheme. The simulation results demonstrate the effectiveness and feasibility of our new adaptive strategy. (C) 2012 Elsevier Inc. All rights reserved.
Generating tri-chaos attractors with three positive Lyapunov exponents in new four order system via linear coupling
(2012-08-01)
Li, Shih-Yu
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Huang, Sheng-Chieh
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Yang, Cheng-Hsiung
;
Ge, Zheng-Ming
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機械工程學系
This paper presents a new hyperchaotic system with three positive Lyapunov exponents (called Tri-Chaos). Via linear coupling, Mathieu, and van der Pol systems are coupled with each other and then become a new four order system-Mathieu-van der Pol autonomous system. As we know, two positive Lyapunov exponents confirm hyperchaotic nature of its dynamics and it means that the system can present more complicated behavior than ordinary chaos. We further generate three positive Lyapunov exponents in a new coupled nonlinear system and anticipate the advanced application in secure communication. Not only a new chaotic system with three Lyapunov exponents is proposed, but also its implementation of an electronic circuit is put into practice in this article. The phase portrait, electronic circuit, power spectrum, Lyapunov exponents, and 2-D and 3-D parameter diagram of tri-chaos with three positive Lyapunov exponents of the new system will be shown in this paper.
Hyperchaos of four state autonomous system with three positive Lyapunov exponents
(2009-01-12)
Ge, Zheng-Ming
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Yang, Cheng-Hsiung
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機械工程學系
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Department of Mechanical Engineering
This Letter gives the results of numerical simulations of Quantum Cellular Neural Network (Quantum-CNN) autonomous system with four state variables. Three positive Lyapunov exponents confirm hyperchaotic nature of its dynamics. (C) 2008 Published by Elsevier B.V.
Implementation on Electronic Circuits and RTR Pragmatical Adaptive Synchronization: Time-Reversed Uncertain Dynamical Systems' Analysis and Applications
(2013)
Li, Shih-Yu
;
Yang, Cheng-Hsiung
;
Ko, Li-Wei
;
Lin, Chin-Teng
;
Ge, Zheng-Ming
We expose the chaotic attractors of time-reversed nonlinear system, further implement its behavior on electronic circuit, and apply the pragmatical asymptotically stability theory to strictly prove that the adaptive synchronization of given master and slave systems with uncertain parameters can be achieved. In this paper, the variety chaotic motions of time-reversed Lorentz system are investigated through Lyapunov exponents, phase portraits, and bifurcation diagrams. For further applying the complex signal in secure communication and file encryption, we construct the circuit to show the similar chaotic signal of time-reversed Lorentz system. In addition, pragmatical asymptotically stability theorem and an assumption of equal probability for ergodic initial conditions (Ge et al., 1999, Ge and Yu, 2000, and Matsushima, 1972) are proposed to strictly prove that adaptive control can be accomplished successfully. The current scheme of adaptive control-by traditional Lyapunov stability theorem and Barbalat lemma, which are used to prove the error vector-approaches zero, as time approaches infinity. However, the core question-why the estimated or given parameters also approach to the uncertain parameters-remains without answer. By the new stability theory, those estimated parameters can be proved approaching the uncertain values strictly, and the simulation results are shown in this paper.
Pragmatical Adaptive Synchronization by Variable Strength Linear Coupling
(2013-04-01)
Yang, Cheng-Hsiung
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Tsen, Pu-Chien
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Li, Shih-Yu
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Ge, Zheng-Ming
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機械工程學系
Pragmatical adaptive synchronization only by variable strength linear coupling without using another active control terms which is usually rather complex is studied. Pragmatical synchronization is based on pragmatical theorem of asymptotical stability in which the probability concept is introduced in concept of stability. By pragmatical adaptive synchronization, not only the synchronization of chaotic systems but also the parameter pursuance is accomplished. Furthermore, Lyapunov function derivative in series form is first used in this paper, which is easier to be obtained than the traditional negative sum of the square of error variables. Lorenz system, Duffing system and Flossier system are illustrated examples.
Pragmatical generalized synchronization of chaotic systems with uncertain parameters by adaptive control
(2007-07-15)
Ge, Zheng-Ming
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Yang, Cheng-Hsiung
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機械工程學系
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Department of Mechanical Engineering
A new kind of generalized synchronization of two chaotic systems with uncertain parameters is proposed. Based on a pragmatical asymptotical stability theorem and an assumption of equal probability for ergodic initial conditions, an adaptive control law is derived so that it can be proved strictly that the common null solution of error dynamics and of parameter dynamics is actually asymptotically stable, i.e. these two identical systems are in generalized synchronization and the estimated parameters approach the uncertain values. It is called pragmatical generalized synchronization. Finally, two numerical examples are studied for two Quantum-CNN oscillator chaotic systems to show the effectiveness of the proposed generalized synchronization strategy with a double Duffing chaotic system as a goal system. (C) 2007 Elsevier B.V. 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.
Symplectic synchronization of different chaotic systems
(2009-06-15)
Ge, Zheng-Ming
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Yang, Cheng-Hsiung
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機械工程學系
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Department of Mechanical Engineering
In this paper, a new symplectic synchronization of chaotic systems is studied. Traditional generalized synchronizations are special cases of the symplectic synchronization. A sufficient condition is given for the asymptotical stability of the null solution of ail error dynamics. The symplectic synchronization may be applied to the design of secure communication. Finally, numerical results arc studied for a Quantum-CNN oscillators synchronized with a Rossler system in three different cases. (c) 2007 Elsevier Ltd. All rights reserved.
Synchronization of chaotic system with uncertain variable parameters by linear coupling and pragmatical adaptive tracking
(2012-11-01)
Yang, Cheng-Hsiung
;
Li, Shih-Yu
;
Tsen, Pu-Chien
;
電控工程研究所
;
腦科學研究中心
We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain variable parameters by linear coupling and pragmatical adaptive tracking. The uncertain parameters of a system vary with time due to aging, environment, and disturbances. A sufficient condition is given for the asymptotical stability of common zero solution of error dynamics and parameter update dynamics by the Ge-Yu-Chen pragmatical asymptotical stability theorem based on equal probability assumption. Numerical results are studied for a Lorenz system and a quantum cellular neural network oscillator to show the effectiveness of the proposed synchronization strategy.
Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking
(2008-12-01)
Ge, Zheng-Ming
;
Yang, Cheng-Hsiung
;
機械工程學系
;
Department of Mechanical Engineering
We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking. The uncertain parameters of a system vary with time due to aging, environment, and disturbances. A sufficient condition is given for the asymptotical stability of common zero solution of error dynamics and parameter update dynamics by the Ge-Yu-Chen pragmatical asymptotical stability theorem based on equal probability assumption. Numerical results are studied for a Lorenz system and a quantum cellular neural network oscillator to show the effectiveness of the proposed synchronization strategy.
Synchronization of complex chaotic systems in series expansion form
(2007-12-01)
Ge, Zheng-Ming
;
Yang, Cheng-Hsiung
;
機械工程學系
;
Department of Mechanical Engineering
This paper studies the synchronization of complex chaotic systems in series expansion form by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of an error dynamics, and is applied to guiding the design of the secure communication. Finally, numerical results are studied for the Quantum-CNN oscillators synchronizing with unidirectional/bidirectional linear coupling to show the effectiveness of the proposed synchronization strategy. (c) 2006 Elsevier Ltd. All rights reserved.
The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems
(2008-03-01)
Ge, Zheng-Ming
;
Yang, Cheng-Hsiung
;
機械工程學系
;
Department of Mechanical Engineering
This paper presents a special kind of the generalized synchronization of different order systems, proved by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of the null solution of an error dynamics. The generalized synchronization developed may be applied to the design of secure communication. Finally, numerical results are studied for a Quantum-CNN oscillator synchronized with three different order systems respectively to show the effectiveness of the proposed synchronization strategy. (C) 2006 Elsevier Ltd. All rights reserved.