Robust H-infinity Fault-tolerant Control For Descriptor Time-varying System

In the field of power system in engineering and robot motion,the descriptor system is the most widely used.There are mounts of researchers at home and abroad devoting themselves to study the descriptor system.In their continuing efforts to descriptor system,they have realized the problem of the pole assignment,the stability,the observability and its controllability and others.In the study of generalized time-varying systems,especially for fault-tolerant control problems,the fault diagnoses and the fault-tolerant control which based on the descriptor systems cannot meet the requirements of the development of modern industry.As far as the admissibility of the descriptor time-varying system,according to the condition of Campbell restricted equivalent transformation,we prove that the system model in this paper has a sufficient condition of impulse.In addition,on account of the theory of Lyapunov stability and Riccati Equation,we conclude the admissibility of the system model in this paper.On account of robust h-infinity fault-tolerant control problem of the descriptor time-varying system,we research the robust h-infinity fault-tolerant control problem by employing Riccati to design a state feedback controller,and get the conclusion that the robust h-infinity fault-tolerant control problem is solvable,and has a sufficient condition.Use the designed feedback controller,and the closed-loop system under arbitrary actuator failure will keep its admissibility and satisfy the given disturbance attenuation performance index.This dissertation mainly solves robust fault-tolerant control problem of time-varying descriptor system.Also,one research achievement of robust fault-tolerant control in the paper extends the regular descriptor systems to the time-varying descriptor systems,taking the factor that variables are in-measurable into consideration,which makes research more integrated.But the fault-tolerant control problem in this dissertation belongs to the passive fault-tolerant control problem.That is,the design of controller is set at the beginning in accordance with the fault information.However,in the engineering operation,some fault information can not be predicted.Thus,it is necessary to carry out a dynamic feedback in time,carry on the error analysis,and adjust the structure and parameters of the controller online.It is self-evident that the study of the dynamic fault-tolerant control of the time-varying descriptor system is a very valuable and challenging.