摘要：A robust reliability method for stability analysis and reliability-based stabilization of time-delay dynamic systems with uncertain but bounded parameters is presented by treating the uncertain parameters as interval *** performance function used for robust reliability analysis is defined by a delayindependent stability *** design of robust controllers is carried out by solving a reliability-based optimization problem in which the control cost satisfying design requirements is *** kind of treatment makes it possible to achieve a balance between the reliability and control cost in the design of controller when uncertainties must be taken into *** the method,a robust reliability measure of the degree of stability of a time-delay uncertain system can be provided,and the maximum robustness bounds of uncertain parameters such that the time-delay system to be stable can be *** the procedures are based on the linear matrix inequality approach and therefore can be carried out *** effectiveness and feasibility of the proposed method are demonstrated with two practical *** is shown by numerical simulations and comparison that it is meaningful to take the robust reliability into account in the control design of uncertain systems.

摘要：The normal H ∞ control design deals with both plant modeling uncertainties and exogenous signal uncertainties by constructing a controller which stabilizes uncertain li near systems while satisfying an H ∞ norm bound constraint on disturbance attenuation for all admissible uncertainties. However, the control design may result in unsatisfactory performances or even instabilities in the event of sensor failures in practical plants. This paper focuses on the problem of the design of robust reliable H ∞ control for a class of time varying uncertainty system with sensor failures. The paper presents a novel technique which deal with this problem by solving three linear matrix inequalities (LMIs). The strict proof guarantees the feasibility of this approach.