Output feedback robust predictive control of singular systems with structured feedback uncertainty

The problem of output feedback robust model predictive control was presented for the singular systems with structured feedback uncertainties described by linear fractional model when the states of control systems were immeasurable. Based on the idea of variable transformation and LMI methods, the nonlinear inequalities with output feedback controller gain matrixes are decoupled, and the infinite time domain min-max optimization problems are converted into convex optimization problems. The sufficient conditions for the existence of this controller were derived. It is proved that the robust stability of the closed-loop singular systems is guaranteed by the initial feasible solution of the optimization problems, and the regular and the impulse-free of singular systems are also held. A simulation example shows the effectiveness of the method.