Optimal Hankel-norm reduction of active suspension model with application in suspension multiobjective control

This paper studies the optimal Hankel-norm reduction (OHNR) of a half-vehicle active suspension model and its application in suspension multiobjective control. Firstly, a numerical algorithm of OHNR is presented explicitly and utilised to reduce the order of the active suspension model. Secondly, the advantages of OHNR are illustrated by comparison with other model-reduction methods. Thirdly, the reduced suspension model created by the OHNR method is used to design a mixed Η2/pole-placement controller of reduced order for the suspension. Finally, computer simulations are carried out to demonstrate that the controller based on the reduced model is not only of lower order and easy to implement, but also achieves similar performance to that of a full-order controller.