The Control Design Of Two Types Of High-order Nonlinear Systems With Dynamic Uncertainties

As we all known,with the development of control theory,nonlinear systems have been one of the most important subjects in the field of control because of their unique complexity.The uncertain factory appear in the actual control systems,which reduces the stability of the control systems and even destroys the performance of the systems.In addition,the limitations of measurement tools and control methods greatly increase the difficulty of control design.Therefore,we need to develop more effective control strategies.This paper investigates the control problem for two classes of high-order nonlinear systems taking theory and practical application into consideration.The main results are given as follows:?.Global fast finite-time partial state feedback stabilization of high-order nonlinear systems with dynamic uncertaintiesThis part mainly studies a class of global fast finite-time partial state feedback stabi-lization problem of high-order nonlinear systems with dynamic uncertainties.On basis of the constructions of integral Lyapunov functions with sign functions and input-to-state stability property,a state feedback controller is designed to ensure that the state of the closed-loop system converges to the origin globally in finite time.The innovation of this part lies in the successful application of the fast finite-time control method to the system-s with dynamic uncertainties.Finally,a numericalsimulation example and a practical example are given to further illustrate the effectiveness of the control strategy.?.State feedback stabilization for high-order nonlinear systems with dynamic uncer-tainties and output constraintsThis part mainly discusses the state feeback stabilization problem for high-order nonlinear systems with dynamic uncertainties and output constraints.By using the adding a power integrator technique,a continuous state feedback controller is designed to make the state of the systems converge to zero.The novelty of this part is to develop an unified design procedure which can tackle the stabilization problem of the systms with/without the output constraint simultaneously.Finally,a numerical simulation example is given to further illustrate the effectiveness of the control strategy.