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

The problem of reliable robust Hinfin 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 Hinfin 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 Hinfin 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.

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