Uncertain Time-delay Robust Fault-tolerant Control Of Nonlinear Systems

The reliability of the control system is the key factor of the system to normal operation,to ensure reliability and security of modern complex systems has a very important practicalsignificance. Fault tolerant control technology as a hot area of the current control and thereliability of the control system opens up a new way to robust fault tolerant control, it refersto the pre-design a robust controller, while ensuring that the system may occur sensors oractuators institutional failure has integrity. At present, the robust fault-tolerant controltechnology increasing by people attach great importance to the international academiccommunity to focus on the research topic.In this paper, a class of delay uncertain nonlinear systems robust fault tolerant control.Using T-S fuzzy model to describe the system, system actuator failure and sensor failure,the use of Lyapunov stability theory and LMI technique, a fuzzy state feedback controllerand prove its existence sufficient condition to ensure robust asymptotic stability, simulationexamples demonstrate the effectiveness of various methods proposed. The main contentsinclude:First, the delay uncertain nonlinear robust fault tolerant control problem. Gives asufficient condition for delay uncertain nonlinear system contains a sensor failure can stillensure that the system is asymptotically stable and the no memory state feedback controllerdesign method, then study the robust fault-tolerant control problem when delay uncertainnonlinear system contains actuator fault.Second, the delay uncertain nonlinear continuous system robust fault tolerant control.Based on T-S fuzzy model theory to describe its nonlinear of delay uncertain nonlinearsystems, and assuming that the system state and control input uncertainties are normbounded. Use Lyapunov stability theory and LMI approach, design the fuzzy state feedbackcontroller with memory to ensure the system stability and meet the system performanceindex.Finally, delay uncertain nonlinear discrete system robust fault tolerant control problem.Gives a sufficient condition for the system state and control input at the same time withtime-delay uncertain nonlinear discrete systems contains a sensor failure can still ensure thatthe system is asymptotically stable, and no memory fuzzy state feedback controller designmethod.