Robust fault-tolerant control for delta operator systems with circular pole constraints

The fault-tolerant control problem of delta operator formulated linear uncertain systems with regional pole assignment is considered, which the addressed uncertainties are in both state matrix and input matrix. A sufficient condition of robust D-stability for delta operator systems with actuator failures is presented using the matrix norm theory. In terms of a linear matrix inequality (LMI) approach, a sufficient condition for the solvability of this problem is derived. When this LMI is feasible, the parameterized representation of the desired state feedback controller is also provided. A numerical example is given to show the effectiveness of the proposed method.