In this paper, lateral/directional vehicle stability in a nonlinear maneuvering region is discussed from the viewpoint of input-output stability. The stability is evaluated in terms of the norm of vehicle output at the specified terminal time to bounded worst-case steering and braking inputs. A numerical optimization technique called a direct method is applied to find the worst-case inputs that maximize the vehicle output at the specified terminal time. The validity and usefulness of the proposed method is demonstrated through three case studies using a nonlinear eleven-degrees-of-freedom vehicle model. The results show that the proposed method makes possible the evaluation of the input-output vehicle stability in the nonlinear maneuvering region.
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Graduate School of Science and Technology, Nihon University College of Science and Technology, Nihon University 8-14 Kanda Surugadai, 1-chome, Chiyoda-ku, Tokyo 101-8308, Japan;