Abstract
This paper provides a new mixed-μ analysis method for dynamical systems without frequency sweep. First, we derive a necessary and sufficient condition for the closed loop system with dynamical system and real uncertainties to have μ less than a specified value γ by using descriptor form. Second, applying sector transformation and strictly positive real lemma to this result, we give a computable LMI condition for the mixed-μ analysis. Since our analysis can treat all uncertainties as time invariant, it may be less conservative than former ones including D-G scaling, Finally, an illustrative numerical example is given.
