Research On Fault-tolerant Control For Uncertain T-S Fuzzy Time-delay System

The reliability of the control system is the most important to ensure the normal operation of the system.During the operation of the control system,the actuators,sensors and other system components are likely to fail,so it is of great research value to ensure the reliability of the control system.The fault-tolerant control technology just right provides an effective way for the reliability of the control system,therefore,the fault-tolerant technology has attracted the attention of many scholars.In this paper,the fault-tolerant control of nonlinear continuous systems with uncertain delay terms is studied.The main contents are arranged as follows:In the first chapter.On the basis of studying many excellent literature at home and abroad,the paper first gives the research purpose and significance,the development status and basic problems of fault-tolerant control system,as well as the development and characteristics of fuzzy control.In the second chapter.The basic mathematical knowledge of Lyapunov stability theory and linear matrix inequality are given,as well as the related lemmas needed in this paper.In the third chapter.For a class of nonlinear continuous systems with uncertainty time-delay,first of all,by constructing T-S fuzzy model to make it more accurate approximation of the original system,and through the method of constructing the Lyapunov function,prove that the designed fuzzy controller can make the closed-loop system have good robustness even if the actuator has faults.Then the value of the gain matrix is solved by using the linear matrix inequality toolbox and the closed-loop system is stable under feasible conditions.Finally,the effectiveness of the method is verified by numerical simulation.In the fourth chapter.For a class of nonlinear continuous with double uncertain time-delay system,through the method of constructing Lyapunov function,it is proved that the designed fuzzy controller can make the closed-loop systems still have good robustness whether the existence of external disturbance.Then the value of the gain matrix is solved by the linear matrix inequality toolbox and the closed-loop system is stable under feasible conditions.Finally,the effectiveness of the proposed method is verified by numericalsimulation.In the fifth chapter.For a class of nonlinear continuous systems with uncertain time-varying time-delay,first of all,by constructing T-S fuzzy model to make it more accurate approximation of the original system,and through the method of constructing Lyapunov function,prove that the designed fuzzy controller can make the closed-loop system have good robustness even if the actuator has faults.Then the value of the gain matrix is solved by using the linear matrix inequality toolbox and the closed-loop system is stable under feasible conditions.Finally,the effectiveness of the method is verified by numerical simulation.At last,it summarizes the whole paper,and gives some problems that can be studied in the next step.