The paper discusses the problem of robust analysis and robust synthesis forMIMO linear systems with parametric uncertainties by using Popov method. First, thefamous Popov criterion is recasted as a convex optimization problem and a new method forcalculating Popov multiplier is provided so that Popov criterion can be effectively used foranalyzing MIMO systems. Then the method of using Popov criterion to analyze parametricuncertainties is studied. Compared with other ones, this method is less conserVative andmuch quicker. At last, a direct search method is adopted to design robust controller baizedon Popov criterion.

The paper discusses the problem of robust analysis and robust synthesis forMIMO linear systems with parametric uncertainties by using Popov method. First, thefamous Popov criterion is recasted as a convex optimization problem and a new method forcalculating Popov multiplier is provided so that Popov criterion can be effectively used foranalyzing MIMO systems. Then the method of using Popov criterion to analyze parametricuncertainties is studied. Compared with other ones, this method is less conserVative andmuch quicker. At last, a direct search method is adopted to design robust controller baizedon Popov criterion.