Estimating Lateral Stability Region of a Nonlinear 2 Degree-of-Freedom Vehicle

Samsundar, John; Huston, Jeffrey C.

doi:10.4271/981172

Cited by 34 publications

(23 citation statements)

References 5 publications

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“…5. Here, this stability region is larger than those found by Lyapunov's direct method in [6], [7] and overlaps with the complete stability region found by the simulation in [7]. For each disturbance inside this border, the vehicle is exponentially stable and will return to steadystate condition.…”

Section: A Lateral Stability Region Of the Full-size Vehicle In A Stmentioning

confidence: 65%

“…• The front and rear sideslip angles, α f and α r , are small enough that the third-order polynomial tire model [6] is valid. Therefore, the relationship between the tire sideslip force and its sideslip angle for front and rear axles can be represented as (13) and (14), respectively.…”

Section: -Dof Non-linear Vehicle Modelmentioning

confidence: 99%

“…where k f and k r parameters are associated with the nonlinear dependence of the sideslip force on the sideslip angle for the front and rear tires [6]. When (11)- (14) are combined with (9) and (10), the nonlinear equations of the vehicle model can be written as:…”

Section: -Dof Non-linear Vehicle Modelmentioning

confidence: 99%

“…Subsection A deals with the estimation of the stability region for a full-size American automobile [6], [7], given in Table I, in straight-line motion. The effect of driving conditions on the stability region proceeds in subsection B.…”

Section: Vehicle Stability Analysismentioning

confidence: 99%

“…The principal drawback of trajectory based methods lies in the fact that there is no guarantee that the system behaves in same manner for other initial conditions. On the other hand, the investigation on the stability region based on the Lyapunov-function-based methods such as [6] and [7] relies on Lyapunov's direct method that is a powerful tool for the analytical stability analysis of non-linear systems. The idea of the direct method is to construct a Lyapunov function, then to investigate whether it decreases or not.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Lateral stability analysis of on-road vehicles using the concept of Lyapunov exponents

Sadri

2012

2012 IEEE Intelligent Vehicles Symposium

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This paper deals with the application of the concept of Lyapunov exponents in vehicle lateral stability analysis. The constructive nature of the available methods for calculating Lyapunov exponents as the 'invariant' measure of the dynamics is the main advantage of this concept. The vehicle model has two degrees of freedom (2-DOF), and its non-linearity is caused by the third-order polynomial expression between the sideslip forces on the the tires and the tire sideslip angles. In this paper, firstly, the concept of Lyapunov exponents and the standard algorithm to calculate them are presented. Then, by applying this concept to the case of a straight-line motion, the lateral stability region of the vehicle model is estimated. Moreover, the effects of driving conditions such as the vehicle longitudinal velocity, road friction and steering angle on the stability region are investigated. The comparison of the results obtained by the concept of Lyapunov exponents with those given in literature by simulation based methods verifies the effectiveness of this concept for vehicle lateral stability analysis.

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Section: A Lateral Stability Region Of the Full-size Vehicle In A Stmentioning

confidence: 65%

Section: -Dof Non-linear Vehicle Modelmentioning

confidence: 99%

Section: -Dof Non-linear Vehicle Modelmentioning

confidence: 99%

Section: Vehicle Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lateral stability analysis of on-road vehicles using the concept of Lyapunov exponents

Sadri

2012

2012 IEEE Intelligent Vehicles Symposium

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Yaw Stability Analysis of Articulated Vehicles Using Phase Trajectory Method

Mendes¹,

Ackermann

Leonardi

et al. 2018

Lecture Notes in Mechanical Engineering

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Phase plane analysis applied to non-explicit multibody vehicle models

2022

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A new methodology for constructing stability maps (phase-plane analysis) is presented and validated for application to complex multibody vehicle models implemented in Multibody Dynamics simulation software (Adams®). Traditional methodologies are developed to be applied to explicit mathematical models. Given the complexity of some special multibody systems, particularly in vehicle dynamics, simplifications are needed to apply this stability analysis technique. The main limitation when using simplified models is the need to neglect components which could have a significant influence on the dynamic behavior of the system and therefore on its stability. In the proposed methodology it is not necessary to have access to explicit mathematical models of multibody systems. Thus, the stability map of a vehicle model can be constructed by considering highly nonlinear dynamic elements, such as tires and silent-blocks components, modeled using the nonlinear finite element technique.

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Estimating Lateral Stability Region of a Nonlinear 2 Degree-of-Freedom Vehicle

Cited by 34 publications

References 5 publications

Lateral stability analysis of on-road vehicles using the concept of Lyapunov exponents

Lateral stability analysis of on-road vehicles using the concept of Lyapunov exponents

Yaw Stability Analysis of Articulated Vehicles Using Phase Trajectory Method

Phase plane analysis applied to non-explicit multibody vehicle models

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