Fault-tolerant Control For Descriptor T-S Fuzzy Systemse

Descriptor T-S fuzzy system is an important research direction of modern control theory.It is a system obtained by the combination of descriptor system theory and T-S fuzzy system model.In recent years,descriptor T-S fuzzy system has been widely used in circuits,networks,robots,biotechnology and other fields.In order to ensure the safety and reliability of the system,it is of great value to the study of fault tolerant control problems.In recent decades,many scholars have studied the problem of fault tolerant control of descriptor T-S fuzzy systems,but the fault tolerant control of descriptor T-S fuzzy systems with sensor faults has been less studied.Therefore,this paper introduces the fault-tolerant control problem of the uncertain descriptor T-S fuzzy system with sensor faults.The specific work is as follows:In this paper,the problem of fault-tolerant control for descriptor T-S fuzzy systems with uncertain parameters is studied.Firstly,an augmented fuzzy descriptor system is constructed by introducing sensor faults as an auxiliary state vector,and the H_?technique is used for analysis to reduce the influence of disturbance on state estimation error.Secondly,the design of state feedback controller,through the use of LMI and other methods,so that the system in the presence of fault or interference can still be stable operation,so as to meet the need to meet the H_?performance index,the sufficient conditions for the stability of the closed-loop system.Finally,a simulation example with MATLAB is given to verify the effectiveness of the obtained results.In this paper,the sensor fault diagnosis and fault tolerant control are studied for the descriptor T-S fuzzy system affected by uncertainty,sensor fault and time delay.Firstly,a design method of fuzzy descriptor observer is proposed to estimate the state of descriptor T-S fuzzy systems and the unknown faults of sensors.Secondly,by isolating sensor faults,a state feedback controller is proposed to make the closed-loop system asymptotically stable.Finally,the validity of the results is verified by a MATLAB simulation example.