Reliable Robust H∞ Tracking Control for a Class of Uncertain Lur e Singular Systems

The problem of reliable robust H∞ tracking control for a class of uncertain Lur' e singular systems is studied. A practical and general failure model of actuator and sensor is considered by using convex polytopic uncertainties to describe control surface impairment. Some sufficient conditions are presented for the case of actuator, sensor and control surface failures in terms of linear matrix inequalities (LMIs). The resultant control systems are reliable in that they guarantee closed-loop system robust stability with H∞ performance and the output tracking the reference signal without steady-state error when all control components are operational as well as when some control components experience failures. Finally, a numerical example is given to show the effectiveness of the proposed methods.