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In this paper, the finite-time stable control problem for the chaotic system of permanent magnet synchronous motor is studied. An active control method with dynamic active compensation is proposed, which makes the closed-loop system achieve approximately finite-time stable control. And a new observer is designed to solve the uncertainty. The approximate finite-time stability of the closed-loop system...
This paper studies the control for synchronization of a four-dimensional system via a single variable, and a linear feedback controller and an adaptive controller are proposed. Based on the Lyapunov stability theory, the correctness of the proposed methods are strictly demonstrated. The numerical simulations further show the effectiveness of them.
In this paper the synchronization problem of two identical Chen chaotic systems is studied and the design of a sliding mode controller is presented. Firstly, we directly make master-slave Chen chaotic systems satisfy stability in the Lyapunov sense. Secondly, we propose a sliding mode controller to synchronize the Chen chaotic systems. Simulation results show the effectiveness of the proposed method...
Propose a rapid sliding mode synchronization method with non-singular terminal for unmatched uncertainties of chaos systems. Through the design of switching surface of sliding mode and corresponding nonsingular terminal sliding mode control strategy, making the two chaotic systems with unmatched uncertainties can be synchronized in finite time. Simulation results show that the proposed method reduce...
Several key problems in the controller design for inverted pendulum system are discussed in-depth. Applying the theory of Lie algebra differential geometry based on the single linear inverted pendulum model established by Lagrange method, the problems of exact linearization, controllability, relative degree, the control based on approximate linear model and the stability control of nonlinear inverted...
Environmental factors have effects on the growth of the plants in greenhouse, so it is significant to research the changes of environmental factors in greenhouse. The dynamic mathematical model about temperature and humidity of this situation is analyzed in this paper. The changes of temperature and humidity in greenhouse are not the simple linear process but the complicated nonlinear process. The...
In this paper, an identification method for dynamic hysteresis based on Duhem model is proposed. In this method, the functions involved in the Duhem model is approximated by polynomials based on the well-known Weierstrass theorem. Then, the general solutions to approximate the functions in the model are derived. The recursive least squares method is implemented to estimate the coefficients of the...
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