Non-fragile guaranteed-cost H-infinity control for mine motion in an interval system with time-varying delay
水雷运动变时滞区间系统保性能非脆弱H_∞控制

To deal with the uncertainties and modeling errors in the mine motion control test, the interval system with matrix factorization is provided. This leads to avoid the conservative conditions in finding a square root. The non-fragile guaranteed-cost H-infinity controller for a dynamic interval system with time-varying delay is designed. A linear convex optimization algorithm is developed in terms of an effective LMI for solving the problem. This algorithm guarantees the closed-loop system stability, keeps the specified upper bound for the cost function, and realizes the desired disturbance attenuation for all admissible uncertainties and under all kinds of disturbing sea flow. The procedures for the controller design and the attainable disturbance reduction are also given. The effectiveness of this approach has been demonstrated in the analysis of certain types of mine motion with uncertainties.