Analysis H∞ norm of fractional order system based on LMI

This paper addresses the problem of H-infinity (H_∞) norm computation for an uncertain fractional order linear system based on LMI. In this paper, first, H_∞ norm definition is given for an uncertain fractional order linear system. Then, H_∞ norm method of the uncertain fractional order linear system on the basis of the Hamiltonian matrix is proposed by a LMI approach. According to a recent study, it finds that, H_∞ norm of stability of an uncertain fractional order linear system research is quite important. It is verified with a simple example in this study.