Nonlinear H∞ control for an integrated suspension system via parameterized linear matrix inequality characterizations

The automotive hydro-pneumatic integrated suspension model is nonlinear with large dimension. As a consequence, the nonlinear H 1 control methodology based on the traditional Hamilton-Jacoby-Isaacs equation is impractical in this application. An alternative so-called Parameterized Linear Matrix Inequality (PLMI) approach is proposed for solving this hard nonlinear H 1 control problem. The validity of the proposed approach is conrmed not only by detailed and realistic simulations but also by extensive experiments. Specically, the proposed nonlinear control method outperforms the more classical feedback linearization control technique.