Observer-based robust predictive control of singular systems with structured feedback uncertainty

This note is concerned with observer-based robust predictive control for the singular systems with structured feedback uncertainty, and the design method of observer-based robust predictive controller is proposed. With the method of linear matrix inequalities (LMIs), the infinite time domain “min-max” optimization problems are converted into convex optimization problems, then the sufficient conditions for the existence of this controller and its expression are derived. The robust stability of the closed-loop singular systems is guaranteed by the initial feasible solution of the optimization problems. The regular and the impulse-free of singular systems are also held.