Abstract
This paper proposes analysis and synthesis method of state space region with guaranteed L2 performance for control systems with direct-feedthrough matrix from saturating output to saturating input. We derive new condition of the L2 performance analysis from extension of Park’s stability analysis condition. When the direct-feedthrough matrix is scalar, quasi-anti-windup control system can be synthesized by using plain search based on our analysis condition. The attained control performance result is better than that by uisng the linear analysis that considers the behavior of the states in the linear (non-saturated) region only. The validity of this analysis and synthesis method is examined by numerical examples.