Study On Nonlinear Model Predictive Control Algorithms And Control Synchronization Of Chaotic System

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. An important advantage of predictive control is its ability to cope with hard constraints on controls and states. Linear MPC has been widely applied in petrochemical and related industries, however, it is inadequate for highly nonlinear predictive processes control. Increasingly stringent demands on throughput and product quality has spurred the development of nonlinear model predictive control (NLMPC). As a result, to study on NLMPC is of great significance theoretically and practically.Based on various references related to MPC, the dissertation develops several NLMPC algorithms, and can be divided into tow main parts, i.e. study on NLMPC based on sliding mode, and predictive control and synchronization of chaotic system. The main contents are as follows:The nonlinear caused by actuators are saturation, dead area, margin loop and so on. During the designing of ordinary controller, these characters are regarded as non-modeling dynamic. If dealing with it this way, it will result in adding the requirement of controller's robustness. So with the wide I/O linearization method of nonlinear reverse function, the generalized prediction control algorithm with dead area nonlinear compensation is suggested.A new generalized predictive control (GPC) scheme is proposed, which combines the generalized predictive control and the sliding control (SMC). The proposed scheme, which have advantages of GPC and SMC, can deal with system constraints on-line and has strong robustness on the sliding surface. By constraining terminal sliding mode to be zero, the stability of GPC system is analyzed.MPC method is extended to chaotic synchronization research in the paper. We design the controller for continuous and discrete chaotic system respectively which realized the control and synchronization between twohomology and different chaotic system.This paper studies the tracking control and synchronization of Hénon system and Logic equation using the model predictive control method with terminal sliding mode equation restriction. We advanced the ability of restraining the parameter perturbation and stochastic distribution and improved the robust performance of the controlled system. We presents a realized predictive variable structure control method to the control and synchronization of two homology or different series-time chaotic systems based on a unified frame for both the control and the synchronization of series-time chaotic system. The controller is composed of predictive controller for nominal nonlinear model and sliding model and variable structure controller for system perturbation. The proposed method has the merit of robustness of variable structure control.