Robust Fault-tolerant Controller Design Of Uncertain Systems With Time-delay

In the practical industrial process control, the phenomenon such as the signaltransmission delay, measurement sensitivity and so on, time-delay is inevitable; On the otherhand, in the process of analysis and research of the control system, due to the large scale andcomplexity of the actual controlled object, and it is difficult to use accurate mathematicalmodel to describe. So the time-delay uncertain systems has important theoretical and practicalsignificance, is also the hotspot in research of control areas.Fault-tolerant control as part of the modern control system, it improved the security ofthe system, Make the system safe and smooth operation even when component failure ormalfunction, therefore, in view of the control system robust fault-tolerant control research isof great significance. In this paper, based on the Lyapunov stability theory, combined withlinear matrix inequality (LMI) technique at the same time, for a class of robust fault-tolerantcontroller design of uncertain systems with time-delay problem, the main research content isas follows:Firstly, study a class of uncertain time-delay continuous system, the system time-delayitem with state delay, at the same time, the control input delay into consideration, based onthe Lyapunov theory, combined with LMI techniques, a malfunction in the system actuatorfailure cases, puts forward the fault closed-loop system can still keep asymptotically stablewith memoryless and memory state feedback robust fault-tolerant controller design method.Through the simulation verify the feasibility of the designed controller.Secondly, study a class of uncertain time-delay discrete system, the system time-delayitem with state delay, at the same time, the control input delay into consideration, based onthe Lyapunov theory, combined with LMI techniques, designed with memoryless andmemory state feedback controller, respectively, when the general faults of actuators in case,can make the system achieve evolutionary stable status. Through the simulation verify thefeasibility of the designed controller.Then, study continuous nonlinear systems of state and control input with time-varyingdelay at the same time, based on the T-S fuzzy model, using the method of parallel distributedcompensation (PDC), in the case of system exist actuators partial or complete failure, faultmatrix model is introduced, based on the Lyapunov theory, combined with LMI techniques.After calculated reasoning given the sufficient condition of robust asymptotic stability whenthe system’s external disturbance is exists, and satisfies H performance index. Through thesimulation verify the feasibility of the designed controller.Last, study uncertain discrete systems of state and control input with time-delay at thesame time, based on the T-S fuzzy model and application of PDC algorithm, and discussesrobust H fault-tolerant control problem of the system in containing actuator partial orcomplete failure cases, based on the Lyapunov theory, combined with LMI techniques. After calculated reasoning given the sufficient conditions of robust asymptotic stability when thesystem’s external disturbance is exists. Through the simulation verify the feasibility of thedesigned controller.