Simultaneous Actuator And Sensor Faults Estimation For Lipschitz Markov Jump Systems

Markov jump systems is a special kind of hybrid system which is composed of several subsystems or modes.It can switch modes,and the switching rule is controlled by Markov chain.It has good modeling ability and is widely used in systems where environmental mutations.Actuators and sensors often fail during the operation of the actual system,and the existence of any fault may lead to performance degradation of the control system.If these faults problems can not be detected and eliminated in time,it may not only cause huge economic losses,but also cause a great threat to personal safety.At the same time,from a practical point of view that the existence of Lipschitz nonlinearity will increase the complexity of the system and difficulty of fault estimation,so it should also be considered in the actual system modeling.The main purpose of this paper is devoted to solving the problems on simultaneous actuator and sensor faults estimation for Markov jump systems with Lipschitz nonlinearity.Adaptive robust sliding-mode fault estimation observer,finite-time fault estimation observer and fault-tolerant controller are designed,respectively.The feasibility and practicability of the proposed method are proved by the simulation experiment of F-404aircraft engine system.The main contents are as follows:(1)The problem of simultaneous estimation of actuator and sensor faults for Lipschitz Markov jump systems with partly unknown transition rates are investigated.In view of the problem that previous sliding-mode fault estimation observers can only estimate single fault,an adaptive robust sliding-mode fault estimation observer is designed to estimate the states,actuator fault and sensor fault at the same time.Meanwhile,in order to reduce the conservatism and improve the freedom degree of the design,an adaptive law is designed to settle the Lipschitz nonlinearity with unknown constant,so that the proposed method has a wider range of applications and can be applied to a large class of uncertain nonlinear systems.The partly unknown transition rate mentioned in this paper is more general than completely known transition rate.(2)The problem of simultaneous actuator and sensor faults finite-time estimation and fault-tolerant control for a class of one-sided Lipschitz Markov jump systems with generally uncertain transition rates are investigated.In the actual industrial production process,people often need to pay attention to the response of the system states in a limited time region.An adaptive finite-time faults estimation observer,being strong robustness to unknown input,is developed to simultaneously estimate the states,actuator and sensor faults,and ensuring the error dynamics systems to be H_? finite-time bounded.At the same time,based on the finite-time fault estimation observer,a finite-time fault-tolerant controller is designed,which can guarantee the H_? finite-time boundedness of the closed-loop system subject to system faults and disturbance.In the generally uncertain transition rates considered,each transition rate can be completely unknown or the estimated value is known,which is superior to the partly unknown transition rates.