closed-looped systems performance in faulty cases, it has been led to extensive concern in academic andindustrial fields and been a hot issues in control fields because of time-delay's general presentation inindustries. However, the existence of time-delay may result in reducing the systems performance, even ifit may lead to instability, therefore, the problem of FTC is also a di?cult points.Considering time-delay characteristics, it can be divided into constant time-delay and time-varyingdelay; according to its sources, it has state time-delay and control input delay. This thesis contains twoparts in broad outline. In the former, it may focus on linear continuous-time/discrete-time systems, non-linear continuous-time/discrete-time systems, continuous-time/discrete-time Markovian jump systems,with the above time-delay. The problem of FTC with consideration of established stochastic actuator-failure is studied by using the Lyapunov method and linear matrix inequalities(LMI) technology; In thelater, the reliable filtering and fault detection of networked control system (NCS) which can be regardedas a special time-delay systems are considered.As far as the research subjects are concerned, we developed 3 new models for various actuator-failurecases: 1) Actuator-failure model with a certain variance and mean; 2) Intermittent actuator-failure modelobeying Bernoulli distribution; 3) Actuator-failure model with various failure subinterval probability. Inaddition, a more general NCS model is established with considering nonideal Quality of Service(QoS).As concerns the analysis methods, the thesis contains the followings innovations : 1) By construct-ing novel and reasonable Lyapunov functions, introducing some lemmas, such as, Jesson Inequality,convexity of the matrix functions, and implying improved free-weighting matrix technique, etc. Onescan get the less conservativeness e?ectively; 2) It also leads to less conservativeness by splitting someterms when concerning with Markovian Jump Systems (MJSs). 3) Furthermore, by augmenting the pastcontrol information into a vector, a memory state feedback fault-tolerant controller is designed to addressthe problem of no feasible solution for discrete-time system with control input delay.Finally, the existing problem in this dissertation is discussed, and directions of further researches arepointed out. |