H -norm performance robustness analysis of a linear parametric uncertain system

Abstract This paper considers the performance robustness analysis problem of uncertain linear systems with output feedback. When there are uncertain parameters in all matrices of the state‐space model of the controlled system, a bound on these parameters is found such that the H8 norm performance index of the closed‐loop system is kept below a prespecified value. The proposed analysis method is based on the matrix nonsingularity robustness analysis approach and several algebraic conditions about the H 8 norm. It is shown that the bound can be computed from structured singular values of certain composite matrices. An example is provided to illustrate the results.