Reliable Robust H∞ Tracking Control for Lur′e Singular Systems with Parameter Uncertainties

The problem of reliable robust H∞ 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∞ 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, impulsefree, stable 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.