Guaranteed cost reliable control for discrete systems based on LMIs

The guaranteed cost reliable control for a class of discrete T-S fuzzy parameter uncertainty systems of actuator faults under a quadratic performance index is studied in the paper. The sufficient condition for the existence of a state feedback guaranteed reliable performance controller is deduced. Then the condition is converted to a linear matrix inequality group based on the Schur complement. The solutions to the LMIs are completely parameterized. Then the optimal reliable guaranteed cost control laws can be obtained by a convex optimization problem for the parameters. A numerical example is given to show the effectiveness of the proposed method.