Study On Model Predictive Control Algorithms Of Time-Delay System And Control Synchronization Of Chaotic System

Model Predictive control is a form of control in which the current control action is obtained by on-line solving open-loop optimal control problem, and the above procedure is repeated based on new state and out measurements at the next time. Time delay is normal in industry dynamic systems. As a result, to study on model predictive control algorithms of time-delay system is of great significance theoretically and practically. In recently ten years, Chaotic synchronization has shown well perspective in the areas of keeping correspond secret or expanding frequency spectrum and so on, so, it is a significance task to design the chaotic system.Based on various references, we study on model predictive control algorithms of time-delay system and predictive control synchronization of discrete chaotic system.Firstly, subject to time-delay system, we propose a kind of generalized predictive control algorithm that combined generalized predictive control with dispersed sliding-model control, which based on the terminal sliding-model equation restriction. At the meantime we add the soft coefficient to input signal. We design the controller correspondingly and prove stability.Secondly, an adaptive predictive function control with proportional integral structure strategy of time-delay system has been developed. The controller has the PI structure by introduce predictive output error and incremental predictive output error to the cost function. The simulation results show that the control strategy has favorable tracking effect, anti-interference and robust.Finally, we extend the method of model predictive control to study on chaotic control and synchronization. On the one hand, we use the generalized predictive controller, which based on the terminal sliding-model equationrestriction realized tracking control and synchronization of Henon chaotic system. On the other hand, the chaos attractor of generalized Henon map is much more complicated than that of Henon map. It is more difficult to control and synchronization. A predictive function controller was proposed. We adopt predictive function control outside sliding mode areas, when chaotic system was in sliding mode areas we adopt sliding model control that has been designed off-line. The simulation results show that the control strategy has well tracking performance and anti-interference performance.