String Stability towards Leader thanks to Asymmetric Bidirectional Controller

Farnam, Arash; Sarlette, Alain

doi:10.1016/j.ifacol.2017.08.1673

Cited by 6 publications

(2 citation statements)

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“…i−1 = 0, h(s) = sZ(s)m and d i is as defined in (5). It has been shown in [18] that the H ∞norm of these transfer functions can be uniformly bounded with respect to N for a suitable choice of h. Furthermore, for the first intermass displacement, the following theorem provides a method to select h in a scale-free manner:…”

Section: Recurrence Relations In Mass Chainsmentioning

confidence: 99%

“…Notable examples include the string instability [15] or network incoherence phenomena [1]. Also bidirectional control, which our problem formulation corresponds to in the context of vehicle platooning, is often subject to the inevitable string instability [2], [7] except for some specific situations where the string instability can be avoided [5]. However it appears that average or local performance measures, for example those in [1], [11], [13], [18], can be guaranteed in a scale free manner.…”

Section: Introductionmentioning

confidence: 99%

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Towards Scale Free Disturbance Suppression in Heterogeneous Mass Chains

Yamamoto

2019

2019 18th European Control Conference (ECC)

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We study the disturbance attenuation problem in a heterogeneous mass chain where both the number of masses and the mass distribution may change. The paper studies the scalar transfer functions from the disturbance at a boundary point to a given intermass displacement. It is shown that these transfer functions can be represented in the form of composition sequences generated by Möbius transformations. The framework aims at devising a method of designing the interconnection impedances in the mass chain in a scalefree manner. That is, the resulting design guarantees certain performance criteria for mass chains of any length and any mass distribution. A graphical method is provided for such an interconnection design problem.

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Section: Recurrence Relations In Mass Chainsmentioning

confidence: 99%