Stability Analysis And Robust Reliable Control For Uncertain Time-delay Systems

With the developing of science and technology,the industrial equipment becomes more complicated.And the security and reliability of the equipment is attracted more and more attention.A robust reliable control and stability analysis for uncertain time-delay systems with two classes of failure situations for sensor or actuator is studied in this paper. At the same time a robust reliable control of networked control systems (NCSs) based on some of aforementioned conclusions.The main results of this paper are outlined as follows:1.The problem of robust stability for uncertain time-delay Lurie systems is studied.It is obtained that robust stability criterion of uncertain time-delay Lurie systems based on linear matrix inequality(LMI) method. A numerical example is given to illustrate the effectiveness of the presented method.Finally,A simulation example is given.2.The problem of robust reliability control for a class of uncertain time-delay simple systems is studied.Two classes of failure situations for sensor or actuator are studied.It is obtained that a delay-dependent stability criterion or the uncertain time-delay systems being designed robust reliable control based on integral quadratic constraint(IQC) performance,the Lyapunov functional and linear LMI.At the same time, a robust reliable control with IQC performance is designed through LMI approach.Finally,the numerical example and simulation results are given to illustrate the feasibility and effectiveness of the presented method.3.The problem of robust reliability control for the uncertain time-delay Lurie systems is studied.Two classes of failure situations for sensor or actuator are studied.It is obtained that a delay-dependent stability criterion for uncertain time-delay Lurie systems being designed robust reliable control based on IQC performance,the Lyapunov functional and LMI.Next,a criterion for uncertain time-delay Lurie systems is obtained via derivations.At the same time,a robust reliable control with IQC performance is designed through the LMI approach. Finally,the numerical example and simulation results are given to illustrate the feasibility and effectiveness of the presented method.4.The problem of robust reliability control for networked control systems(NCSs) with time-varying delays is studied.A discrete mathematical time-varying model was set up for the time-varying delay NCSs.Based on some of conclusions of robust reliability control for the time-delay systems and the integrity fault-tolerant control theory,the sufficient conditions for unperturbed systems with integrity against actuator failures are given.Next,a criterion for a class of consecutive uncertain NCSs with time-varying delays is obtained via derivations.The simulation results showed not only the effectiveness of the proposed method but also the better dynamic performance of the systems.