Improvement of Robust Positive Realness for a Class of Uncertain Systems

This paper focuses on robust positive realness analysis and synthesis problem for a class of parameter uncertainty, which has a polynomial form and is a natural extension of the norm-bounded uncertainty. A sufficient condition of robust extended strictly positive realness(ESPR) is obtained for the class of linear uncertainty systems. Moreover, the solvability condition to robust ESPR control is provided via output feedback based on LMI. Furthermore, an approach can be given to design the output feedback controller via convex optimal algorithm.