Reliable robust H∞ tracking control for Lur’e singular systems with parameter uncertainties

The problem of reliable robust H_infin tracking control for a class of Lur´e singular systems with parameter uncertainties is studied. The uncertainty is assumed to be convex polytopic. A practical and general failure model of actuator and sensor is considered. Some sufficient conditions about reliable robust H_infin tracking control are presented for the case of actuator and sensor failures in terms of Linear Matrix Inequalities(LMIs). The resultant control systems are reliable in that they guarantee closed-loop system regular, impulse- free, stable with H_infin 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.