Order reduction of nonlinear hydropneumatic vehicle suspension

This paper considers the problem of passing from a nonlinear time-invariant high-order model of a nonlinear hydropneumatic vehicle suspension to a low-order approximation. The method presented in this paper requires the simulation of original system with its typical inputs. In the next step, it designates one part of the state space which contains the major information the so-called dominant subspace (xdo). Performance is achieved by minimizing the norm of error between state variables and their approximation (∥x _do - x̃∥) and also the norm of error between the state variable derivatives (∥ẋ_do- x̄∥). The main idea can be generalized in form of an approach for similar nonlinear systems.