Algebraic approach to control car suspension system by using spectral factorization and sum of roots

This paper is concerned with an algebraic control approach in the case of car suspension system. This method investigates the relationship between sum of root and positive real part of the characteristic polynomial for Hamiltonian matrix of active car suspension system model. The important parts of this method are finding the original and helpful expression structure for the problem, as well preventing from Gröbner basis calculation through generic algorithm.