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Positive observer design of interval switched positive systems is considered in this paper. The multiple quadratic co-positive Lyapunov functions technique and the method of augmented systems are adopted. The sufficient conditions of insuring stabilization of augmented systems are obtained under the state-dependent and time-dependent switching law, respectively. In the end, a numerical example is...
This paper deals with the issues of both robust state estimation and actuator fault detection for a class of uncertain switched linear systems under average dwell time (ADT). A robust switched observer is proposed to estimate the states of switched system even if it is subject to simultaneous disturbance inputs and actuator faults, where the disturbance inputs are decoupled and the actuator faults...
The paper studies the problem of the disturbance attenuation for switched systems subject to actuator saturation. A nonlinear feedback controller which expresses by the form of quasi-LPV as well as the switching law which is time-dependent, are constructed that lead to the closed-loop switched system is stable and has disturbance attenuation capacity. In addition, the solvability conditions for the...
This paper investigates finite-time stability (FTS) for discrete-time switched delay systems with nonlinear disturbances, where the disturbances may have stronger nonlinearities. Based on novel inequality technique and average dwell time approach, several new stability criteria are obtained which guarantee that the state trajectory does not exceed a certain threshold over a pre-specified finite-time...
This paper studies the problem of robust exponential stability of a class of switched systems with uncertainties and delay varying in an interval. By using a newly constructed Lyapunov-Krasovskii functional (LKF) and the average dwell time scheme, delay-dependent sufficient conditions are obtained which are expressed as linear matrix inequalities (LMIs). These conditions provide a solution for finding...
This note considers the problem of finite time stability of switched nonlinear singular systems consisting of both stable and unstable subsystems. First, based on the equivalent dynamics decomposition form of systems, a description for state jumps of the switched nonlinear singular system is presented. Then a switching law for finite time stability of systems is designed by using the equivalent dynamics...
The problem of asynchronous fault detection filter design for time-varying delays switched system is considered in the framework of mixed H−/H∞. H− performance represents the sensitivity index of residual to fault and H∞ performance is the robustness indicator of residual to disturbance. First of all, multiple Lyapunov-Krasovskii functions and average dwell time approach are used for deriving the...
This paper studies sampled-data control problem for networked switched linear discrete time systems. Since that the controller is connected with the plant via a communication channel, it can only access the sampled information of the switching signal and system state, where there may exist the time varying transmission delay from the sensor to the controller. The original switching signal are merged...
In this paper, the problem of robust H∞ control is considered for a class of networked switched systems (NCS) with state unavailable. The faults are assumed to occur from the sensor to the controller and from the controller to the actuator, simultaneously. The missing probability for each channel of the sensor-to-controller and controller-to-actuator is different and is governed by a random variable...
This paper investigates the problem of model reference adaptive compensation control (MRACC) for systems with actuator intermittent failures. The system with intermittent failures of actuators is viewed as a switched system and asynchronous switching is considered simultaneously. The controller with adaptive laws is designed. Then, sufficient conditions are provided to guarantee the global practical...
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