On the zeros of asymptotically stable serially connected structures

Jaganath Chandrasekar; Jesse B. Hoagg; Dennis S. Bernstein

doi:10.1109/cdc.2004.1428858

On the zeros of asymptotically stable serially connected structures

Jaganath Chandrasekar, Jesse B. Hoagg, Dennis S. Bernstein

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

A serially interconnected N-mass system is considered. Specifically, we consider the single-input single-output (SISO) compliance from the force applied on any mass to the position of any mass. The main result of the paper is a result showing that all SISO compliances of serially connected structures are strictly minimum phase. Lastly, we present a dynamic compensator that is constructed using generalized root locus principles and the Fibonacci series. The compensator requires only limited knowledge of the plant and provides infinite upward gain margin.

Original language	English
Article number	WeC10.5
Pages (from-to)	2638-2643
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.2004.1428858
State	Published - 2004
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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title = "On the zeros of asymptotically stable serially connected structures",

abstract = "A serially interconnected N-mass system is considered. Specifically, we consider the single-input single-output (SISO) compliance from the force applied on any mass to the position of any mass. The main result of the paper is a result showing that all SISO compliances of serially connected structures are strictly minimum phase. Lastly, we present a dynamic compensator that is constructed using generalized root locus principles and the Fibonacci series. The compensator requires only limited knowledge of the plant and provides infinite upward gain margin.",

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doi = "10.1109/cdc.2004.1428858",

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T1 - On the zeros of asymptotically stable serially connected structures

AU - Chandrasekar, Jaganath

AU - Hoagg, Jesse B.

AU - Bernstein, Dennis S.

PY - 2004

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N2 - A serially interconnected N-mass system is considered. Specifically, we consider the single-input single-output (SISO) compliance from the force applied on any mass to the position of any mass. The main result of the paper is a result showing that all SISO compliances of serially connected structures are strictly minimum phase. Lastly, we present a dynamic compensator that is constructed using generalized root locus principles and the Fibonacci series. The compensator requires only limited knowledge of the plant and provides infinite upward gain margin.

AB - A serially interconnected N-mass system is considered. Specifically, we consider the single-input single-output (SISO) compliance from the force applied on any mass to the position of any mass. The main result of the paper is a result showing that all SISO compliances of serially connected structures are strictly minimum phase. Lastly, we present a dynamic compensator that is constructed using generalized root locus principles and the Fibonacci series. The compensator requires only limited knowledge of the plant and provides infinite upward gain margin.

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M3 - Conference article

AN - SCOPUS:14244260545

SN - 0743-1546

VL - 3

SP - 2638

EP - 2643

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - WeC10.5

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

On the zeros of asymptotically stable serially connected structures

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