H-infinity controller failure time analysis for a class of discrete time-delay systems under delayed state feedback
NIE Hong
SANG Hong
Abstract：Based on the delayed state feedback strategy, this paper considers the H-infinity controller failure time analysis problem for a class of discrete time-varying delay systems in the presence of controller temporary failure. The main objective of this brief is to find the conditions of activation time ratio between the normal working time and the failure time of the controller, such that the considered systems are exponentially stabilizable and achieve a weighted l2-gain. To address this situation, the discrete time-varying delay systems subjected to controller temporary failure are converted into a class of discrete time-varying delay switched systems incorporating two subsystems, one subsystem is an unstable system without stabilizing controller, and the other subsystem is a stable system with stabilizing controller. By using piecewise Lyapunov function theory and average dwell-time method, sufficient conditions for the problem to be solvable are presented and a delayed state feedback H-infinity switching controller is designed in the form of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.
Keywords：controller failuretime-delaypiecewise Lyapunov functionalaverage dwell-timeweighted l2-gainlinear matrix inequalities
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 709-716 )