Preliminary investigation of mesh stability for linear systems

Pete Seiler; Aniruddha Pant; J. K. Hedrick

Preliminary investigation of mesh stability for linear systems

Pete Seiler
, Aniruddha Pant
, J. K. Hedrick

Aerospace Engineering and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Scopus citations

Abstract

Damping of disturbances as they propagate through a chain of interconnected systems, termed string stability, has been the subject of significant research. In this paper, we investigate mesh stability, which is the two-dimensional extension of string stability. We review the key results used for string stability analysis and then generalize the conditions for MIMO systems. These results are then applied to a simple class of linear systems which form a mesh in two-dimensions. It is shown (as in the one-dimensional case) that communicating the velocity and acceleration of the lead vehicle to all subsystems is sufficient for mesh stability. This result is then verified by simulation.

Original language	English (US)
Title of host publication	American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
Publisher	ASME
Pages	359-364
Number of pages	6
ISBN (Print)	0791816346
State	Published - 1999
Event	Dynamic Systems and Control Division - 1999 (The ASME International Mechanical Engineering Congress and Exposition) - Nashville, TN, USA Duration: Nov 14 1999 → Nov 19 1999

Publication series

Name	American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
Volume	67

Other

Other	Dynamic Systems and Control Division - 1999 (The ASME International Mechanical Engineering Congress and Exposition)
City	Nashville, TN, USA
Period	11/14/99 → 11/19/99

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Preliminary investigation of mesh stability for linear systems. / Seiler, Pete; Pant, Aniruddha; Hedrick, J. K.
American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC. ASME, 1999. p. 359-364 (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC; Vol. 67).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Seiler, P, Pant, A & Hedrick, JK 1999, Preliminary investigation of mesh stability for linear systems. in American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC. American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC, vol. 67, ASME, pp. 359-364, Dynamic Systems and Control Division - 1999 (The ASME International Mechanical Engineering Congress and Exposition), Nashville, TN, USA, 11/14/99.

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AU - Pant, Aniruddha

AU - Hedrick, J. K.

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N2 - Damping of disturbances as they propagate through a chain of interconnected systems, termed string stability, has been the subject of significant research. In this paper, we investigate mesh stability, which is the two-dimensional extension of string stability. We review the key results used for string stability analysis and then generalize the conditions for MIMO systems. These results are then applied to a simple class of linear systems which form a mesh in two-dimensions. It is shown (as in the one-dimensional case) that communicating the velocity and acceleration of the lead vehicle to all subsystems is sufficient for mesh stability. This result is then verified by simulation.

AB - Damping of disturbances as they propagate through a chain of interconnected systems, termed string stability, has been the subject of significant research. In this paper, we investigate mesh stability, which is the two-dimensional extension of string stability. We review the key results used for string stability analysis and then generalize the conditions for MIMO systems. These results are then applied to a simple class of linear systems which form a mesh in two-dimensions. It is shown (as in the one-dimensional case) that communicating the velocity and acceleration of the lead vehicle to all subsystems is sufficient for mesh stability. This result is then verified by simulation.

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UR - https://www.scopus.com/pages/publications/0033300417#tab=citedBy

M3 - Conference contribution

AN - SCOPUS:0033300417

SN - 0791816346

T3 - American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC

SP - 359

EP - 364

BT - American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC

PB - ASME

T2 - Dynamic Systems and Control Division - 1999 (The ASME International Mechanical Engineering Congress and Exposition)

Y2 - 14 November 1999 through 19 November 1999

ER -

Preliminary investigation of mesh stability for linear systems

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