Robust H_∞Control For Large Scale Systems With Missing Measurements And System Delay

The application of the network control system has been involved in many areas.The valueof its research is increasingly arising with the development of its application. Being introduced inthe control system, the network also inevitably results the emergence of the delay or loss of datadue to the randomness of itself, and thereby reduces the performance of the various aspects ofthe control system. In addition, it is difficult to find a purely single system in the practicalapplication of engineering, while mostly the large scale system consisted of multiple subsystems.Delay and packet loss of Ethernet were measured by the software AtkkPing. On this basis, studythe problem of controller design of large scale system which is constituted by several subsystems.And each subsystem with measurement data loss and step system delay. The main contents are asfollows:1Measure and get the delay and packet loss in the environment of Ethernet by the softwareof AtkkPing.2To a class of single linear discrete system, it is assumed that the measurement data lossmeets with the known probability of Bernoulli distribution, and the system itself has step delay.Design the state feedback controller and the entire closed-loop system meet with the meansquare exponential stability and specified performance indicators. Through the application ofLyapunov stabilility theory and linear matrix inequalities, the sufficient condition of existence ofthe controller is given.The parameters of the controller are obtained by solving theabove-mentioned linear matrix inequalities. The simulation result of Matlab shows that thealgorithm is effective.3In accordance with a class of large scale system consisted of N linear discretesubsystems, it is assumed that the measurement data loss meets with the known probabilityBernoulli distribution and each subsystem has one-step system delay.Design the state feedbackcontroller so that the closed-loop system meet with the exponentially mean squarestability andspecified performance indicators.Through the application of linear matrix inequalities, given athe sufficient condition of existence of the controller is given.The parameters of controllerisbotained by solving the above-mentioned linear matrix inequalities. The simulation result ofMatlab shows that the algorithm is effective.