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

The automotive hydro-pneumatic integrated suspension model is nonlinear with large dimensions. As a consequence, the nonlinear ℋ _∞ control methodology based on the traditional Hamilton-Jacoby-Isaacs equation is impractical in this application. An alternative the so-called parametrized linear matrix inequality approach is proposed for solving this hard nonlinear ℋ_∞, control problem. The validity of the proposed approach is confirmed not only by detailed and realistic simulations but also by extensive experiments. Specifically, the proposed nonlinear control method outperforms the more classical feedback linearization control technique