Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System

Eva Navarro Lopez; Eva M. Navarro-Lopez; D. Cortes; A. Bemporad; A. Bicchi; G. Buttazzo

Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System

Eva Navarro Lopez, Eva M. Navarro-Lopez, D. Cortes, A. Bemporad (Editor), A. Bicchi (Editor), G. Buttazzo (Editor)

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Abstract

smooth (PWS) systems can be ineffective if an additional bifurcationanalysis is not made. Due to the presence of discontinuities,PWS systems present a wide variety of standard and non-standard bifurcations.Safe ranges of system and controller parameters can be establishedlest these bifurcations appear. This is studied by means of asimplified torsional model of an oilwell drillstring of three degrees offreedom (DOF). A PID-type controller is applied. The bifurcation analysisof the open-loop and the closed-loop systems is used to choose thecontroller parameters for which non-desired bit sticking situations areavoided. The control goal of driving the rotary velocities to a constantpositive value is achieved despite the existence of a sliding motion.

Original language	English
Title of host publication	Lecture Notes on Computer Science, LNCS 4416
Subtitle of host publication	Hybrid Systems Computation and Control, HSCC
Place of Publication	Berlin Heidelberg
Publisher	Springer Nature
Pages	736-740
Number of pages	5
Edition	1st
ISBN (Print)	978-3-540-71492-7
Publication status	Published - 2007

Keywords

Discontinuous systems
Sliding motions
Bifurcation analysis
Oilwell drillstrings
Dry friction
Stick-slip oscillations

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title = "Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System",

abstract = "smooth (PWS) systems can be ineffective if an additional bifurcationanalysis is not made. Due to the presence of discontinuities,PWS systems present a wide variety of standard and non-standard bifurcations.Safe ranges of system and controller parameters can be establishedlest these bifurcations appear. This is studied by means of asimplified torsional model of an oilwell drillstring of three degrees offreedom (DOF). A PID-type controller is applied. The bifurcation analysisof the open-loop and the closed-loop systems is used to choose thecontroller parameters for which non-desired bit sticking situations areavoided. The control goal of driving the rotary velocities to a constantpositive value is achieved despite the existence of a sliding motion.",

keywords = "Discontinuous systems, Sliding motions, Bifurcation analysis, Oilwell drillstrings, Dry friction, Stick-slip oscillations",

author = "{Navarro Lopez}, Eva and Navarro-Lopez, {Eva M.} and D. Cortes and A. Bemporad and A. Bicchi and G. Buttazzo",

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Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System. / Navarro Lopez, Eva; Navarro-Lopez, Eva M.; Cortes, D. et al.
Lecture Notes on Computer Science, LNCS 4416: Hybrid Systems Computation and Control, HSCC. 1st. ed. Berlin Heidelberg: Springer Nature, 2007. p. 736-740.

Research output: Chapter in Book/Conference proceeding › Chapter

TY - CHAP

T1 - Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System

AU - Navarro Lopez, Eva

AU - Navarro-Lopez, Eva M.

AU - Cortes, D.

A2 - Bemporad, A.

A2 - Bicchi, A.

A2 - Buttazzo, G.

N1 - Ministerio de Educacion y Ciencia of Spain. CONACYT

PY - 2007

Y1 - 2007

N2 - smooth (PWS) systems can be ineffective if an additional bifurcationanalysis is not made. Due to the presence of discontinuities,PWS systems present a wide variety of standard and non-standard bifurcations.Safe ranges of system and controller parameters can be establishedlest these bifurcations appear. This is studied by means of asimplified torsional model of an oilwell drillstring of three degrees offreedom (DOF). A PID-type controller is applied. The bifurcation analysisof the open-loop and the closed-loop systems is used to choose thecontroller parameters for which non-desired bit sticking situations areavoided. The control goal of driving the rotary velocities to a constantpositive value is achieved despite the existence of a sliding motion.

AB - smooth (PWS) systems can be ineffective if an additional bifurcationanalysis is not made. Due to the presence of discontinuities,PWS systems present a wide variety of standard and non-standard bifurcations.Safe ranges of system and controller parameters can be establishedlest these bifurcations appear. This is studied by means of asimplified torsional model of an oilwell drillstring of three degrees offreedom (DOF). A PID-type controller is applied. The bifurcation analysisof the open-loop and the closed-loop systems is used to choose thecontroller parameters for which non-desired bit sticking situations areavoided. The control goal of driving the rotary velocities to a constantpositive value is achieved despite the existence of a sliding motion.

KW - Discontinuous systems

KW - Sliding motions

KW - Bifurcation analysis

KW - Oilwell drillstrings

KW - Dry friction

KW - Stick-slip oscillations

M3 - Chapter

SN - 978-3-540-71492-7

SP - 736

EP - 740

BT - Lecture Notes on Computer Science, LNCS 4416

PB - Springer Nature

CY - Berlin Heidelberg

ER -

Parameters Controller Selection Through Bifurcation Analysis in a Piecewise-smooth System

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Keywords

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