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Parameter estimation is the key step to improve the precision of a mechanistic model, which is fundamental for simulation, control and optimization of industrial processes. A novel method based on nonlinear optimization has been developed to estimate the initial selectivities of the first-order primary reaction for the naphtha decomposition. The proposed approach is to minimize the discrepancy between...
This paper addresses the synchronization control between Lurie chaotic systems by means of LMI. moreover, synchronization between the time-delay systems has been investigated. By the method of LMI, the control function is designed and the parameterpsilas range is obtained when the two time-delay systems are synchronous. Numerical simulations by Matlab indicate the feasibility of the method. Furthermore,...
The chaotic dynamics of fractional order systems has attracted much attentions. In this brief paper, we study the unidirectional driving-response synchronization of fractional order hyperchaotic Lu systems. Theoretical analysis and numerical experiments on verifying the effectiveness of proposed method for synchronizing fractional order chaotic systems are both given. A sufficient conditions for choosing...
A chaotic synchronization method of different fractional order chaotic systems is established, and the mathematical proof of this synchronization method is provided. The feedback controller is obtained theoretically. Theoretical analysis and simulation results show that the method in this paper is effective.
This paper presents a fuzzy state tracking control scheme for chaotic synchronized secure communication based on the T-S fuzzy model of chaos. The conditions for dealing with the stability of the overall synchronization error system are proved by utilizing Lyapunov stability theory, and formulated into linear matrix inequalities (LMIs) afterwards. The structure of the controller is simply linear without...
The optimality of chaos control is investigated. In the drive-response regime, the response systems for a class of chaotic systems are designed as certain nonlinear observers that lead to scalar transmission signals and linear error systems. Based on the quadratic optimal control theory for continuous dynamical systems, an optimal synchronization control scheme is established to maintain the least...
The Lu system is a newly coined chaotic system, which connects the Lorenz system and the Chen system and represents the transition from one to the other. In this letter, a simple nonlinear term is added to the Lu system, and its role as a joint function is revisited. With the gradual tuning the parameter of the nonlinear controller, the transition from the canonical Lorenz attractor to the Chen attractor...
The robust synchronization of a class of uncertain chaotic neural networks with parameters perturbation and external disturbances is investigated in this paper. The time-delay feedback control term is introduced in the synchronization controller to achieve the robust synchronization of the drive-response structure of neural networks. Based on the Lyapunov stability theory and linear matrix inequality...
Wang and Chen hyperchaotic systems are newly proposed continuous four-dimensional chaotic systems. According to these hyperchaotic systems, an improved generalized projected synchronization method is proposed in this paper. The stability conditions for error systems are analyzed by using stability theory of linear systems. Compared with previous chaotic synchronization methods, the improved generalized...
The present paper deals with the issues of robust impulsive synchronization of uncertain complex delayed dynamical networks from the view of dynamics and control. The prime characteristic of the model considered here is that the coupling functions can be linear or nonlinear, even unknown, which can well describe practical architectures of more realistic networks. Based on impulsive stability theory...
A novel T-S fuzzy model-based method is proposed for controlling a class of chaotic (hyperchaotic) systems with uncertain parameters. The interval matrix theory is applied to describe the parametric uncertainty. The T-S fuzzy model is employed for accurately modeling the chaotic (hyperchaotic) systems. Based on the T-S fuzzy model, the parallel distributed compensation (PDC) technique is applied to...
This Letter discusses synchronization problem of two new and totally different hyper-chaoses when ten parameters of the drive and response system are fully unknown and different. Based on Lyapunov stability theory, an adaptive control law with parameters update laws is derived such that the states of two different hyper-chaotic systems can asymptotically be synchronized.
Based on integrating the property of sliding mode control (SMC) with the thought of variable universe in adaptive fuzzy control, a design method of variable universe adaptive fuzzy sliding mode control (FSMC) strategy for uncertain chaotic systems is proposed. There are two sets of control rule bases. The first set is utilized to approach the equivalent control of SMC. By adjusting the universes of...
A nonlinear feedback controller is designed to make the first two state of a chaotic system called Josephson-circuits-coupled quantum cellular neural network track an arbitrary two-dimensional smooth reference signal. It is proved by means of Lyapunov function that this method can make the system approach to any two desired smooth orbits at an exponent rate. The synchronizations with Duffingpsilas...
We present a systematic design procedure to Lag-synchronization the Chua chaotic system based on baskstepping. This approach needs only a single controller to realize Lag-synchronization. Numerical simulations are given to illustrate the effectiveness of the methods.
Unstable periodic orbits of the chaotic passive compass-like biped robot which is an typically impulsive dynamical system are stabilized by using energy-shaping control. Because of impossibly instantaneous regulation of the angular and angular velocity of the passive compass-like biped robot, energy damping control with reference energy calculated by using impulsive control is supposed. Sufficient...
Synchronization of uncertain Chen chaotic systems is discussed. Based on active control and virtual feedback control strategies, a novel active sliding mode controller is presented, which can ensure quick synchronization of uncertain chaos system starting from any initial condition. According to Lyapunov stable theory, the synchronization robust of uncertain chaos system is proved. A numerical simulation...
In this Letter, two novel types of synchronization called lag generalized projective stochastic perturbation synchronization (LGPSS) for chaotic systems with different order are introduced. The problems of reduced order (RLGPSS) and increased order LGPSS (ILGPSS) for different chaotic systems with fully unknown parameters are considered in detail. By combining the adaptive control method and feedback...
The globally exponential synchronization(GES) was proved based on the Lyapunov theorem for globally exponential stability. To demonstrate the theoretical predictions, the GES of hyperchaotic Chen and Lorenz systems were studied. Therefore, several nonlinear control laws were designed to obtain GES of the two hyperchaotic systems.The effectiveness of the control laws is demonstrated by using of both...
Some basic properties of the hyperchaotic Lorenz system were analyzed, and the state feedback control methods introduced for stabilizing unstable equilibrium point of the hyperchaotic system. The feedback controllers utilized the speed and hyperbolic function, respectively. Based on Routh-Hurwitz theorem, the span of the feedback coefficients was derived. Numerical simulations are given for illustration...
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