Robust positive realness analysis and synthesis for a class of systems with uncertainties

Robust positive realness analysis and synthesis problem is dealt with for a class of systems with polynomial form parameter uncertainties. A sufficient condition of robust extended strictly positive realness (ESPR)is presented for the uncertain systems, and it also can be utilized to estimate the perturbation bound such that ESPR holds. On the basis of ESPR analysis, the solvability conditions to ESPR control are provided via state and output feedback respectively. Moreover, an approach is obtained to design controller via convex programming algorithm such that the closed loop system is ESPR and has maximum perturbation bound under the method.EI06839-8421