Sparse structured non-fragile H∞ controller design for linear systems

This paper presents a study on the problem of designing non-fragile H∞ controllers with sparse structures for linear continuous-time systems. A new algorithm is proposed to define and further design sparse structured controllers. Firstly, sparse structures are specified from a given fully parameterized H∞ controller. Then, a three-step design procedure for non-fragile dynamic output feedback H∞ controllers with the sparse structures is provided. The resulting designs guarantee that the closed-loop system is asymptotically stable and the H∞ performance from the disturbance to the regulated output is less than a prescribed level. A numerical example is given to illustrate the design methods.