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An H2 Formulation for the Design of a Passive Vibration-Isolation System for Cars
Authors:Giorgio Corriga  Alessandro Giua  Giampaolo Usai
Institution:  a The authors are with the Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy
Abstract:Optimal design of an active suspension system for road vehicles can be solved using LQR techniques. Such a problem is equivalent, in the frequency domain, to determine the state feedback gain matrix that minimizes the H2 norm of a suitable transfer matrix.

A passive suspension system can be seen as the physical realization of a suitable state feedback law whose gains are function of the system parameters. This law, and thus the characteristic elements of the passive suspension, can be determined as an approximation of the H2 optimal solution. This methodology allows one to choose the best controller from a constrained subset (i.e., all possible passive suspensions of a particular form) of all possible controllers.
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