Model based feedback control strategies for electrohydraulic braking and active steering systems in passenger cars are considered. Simulation results with a complex vehicle model and measurements from test drives with a real car are shown for brake control. For a μ-split road surface additional drive dynamics control is required like ESP or active front steering (AFS). Therefore, an AFS feedbac...

The Colin de Verdière parameters, μ and ν, are defined to be the maximum nullity of certain real symmetric matrices associated with a given graph. In this work, both of these parameters are calculated for all chordal graphs. For ν the calculation is based solely on maximal cliques, while for μ the calculation depends on split subgraphs. For the case of μ our work extends some recent work on com...

The Colin de Verdière parameters, μ and ν, are defined to be the maximum nullity of certain real symmetric matrices associated with a given graph. In this work, both of these parameters are calculated for all chordal graphs. For ν the calculation is based solely on maximal cliques, while for μ the calculation depends on split subgraphs. For the case of μ our work extends some recent work on com...

Let Γ denote a Q-polynomial distance-regular graph with diameter D ≥ 3 and standard module V . Recently Ito and Terwilliger introduced four direct sum decompositions of V ; we call these the (μ, ν)–split decompositions of V , where μ, ν ∈ {↓, ↑}. In this paper we show that the (↓, ↓)–split decomposition and the (↑, ↑)–split decomposition are dual with respect to the standard Hermitian form on V...

In this paper, a system is developed to control the yaw moment and the lateral deviation in the case of braking with different adhesion conditions on the left and right sides. A driving assistance is obtained by using the front and rear steering angles. The control law is designed using an extension of the H∞ loop-shaping method to the case of linear parametervarying (LPV) plants: it allows to ...

The tire-road friction coefficient is critical information for conventional vehicle safety control systems. Most previous studies in tire-road friction estimation have only considered either longitudinal or lateral vehicle dynamics which tends to cause significant underestimation of the actual tire-road friction coefficient. In this paper, the parameters, including the tireroad friction coeffic...

We investigate characteristics of random split trees introduced by Devroye [SIAM J Comput 28, 409–432, 1998]; split trees include e.g., binary search trees, m-ary search trees, quadtrees, median of (2k + 1)-trees, simplex trees, tries and digital search trees. More precisely: We use renewal theory in the studies of split trees, and use this theory to prove several results about split trees. A s...

Introduction Metamaterials are artificial composites whose electromagnetic properties can be engineered to achieve phenomena not observed in natural materials [1]. They are usually manufactured by means of the repetition of resonant elements to constitute a periodic structure and an essential characteristic is that an effective permittivity and permeability (μ) can be defined through the approp...

When the driving road surface condition suddenly changes from dry to wet, the driving wheels will slip due to much lower coefficient of friction, and thus cause the vehicle to skid. Unlike the popular anti-brake system which applies differential braking to wheels, the presented ant-skid Control properly distributes torques to wheels without braking. In comparison with many recently developed an...

°Institute of Industrial Science, University of Tokyo 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan This paper proposes a nonlinear observer for Body Slip Angle (β) estimation, in which a nonlinear tire model is adopted for the observer design. A newly developed method to identify parameters of road surface friction coefficient (μ) is introduced into this observer, which makes the observer ada...