Non-fragile H∞ controller design with sparse structure

This paper presents a study on the problem of non-fragile H_∞ controller design with sparse structure for SISO linear continuous-time systems. The controller to be designed with sparse structure is assumed to have additive gain variations, which are due to the finite world length(FWL) effects when the controller is implemented. Design methods for non-fragile H_∞ controller with sparse structure are provided. The resulting designs guarantee the closed-loop systems asymptotically stable and the H_∞ performance from the disturbance to the regulated output being less than a prescribed level. A numerical example is given to illustrate the design methods.