Velocity tracking control of an axially accelerating string and actuator system

F. Zhang, S. P. Nagarkatti, B. T. Costic, D. M. Dawson, Christopher D. Rahn

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

In this paper, we present a control strategy for an axially moving string system that achieves vibration regulation along the string and ensures that the string tracks a desired axial velocity trajectory. The control strategy is implemented by utilizing the roller torque inputs applied at the entry and exit points of the string and a pair of control forces applied to the string via an interstitial mechanical guide. Given the hybrid model of the string system (i.e., the distributed parameter field equation coupled to discrete actuator equations), Lyapunov-type arguments are utilized to design a model-based control law that exponentially regulates the axial velocity tracking error and the string displacement along the entire span. The proposed control law is based on measurements of the string displacement, velocity, slope, and slope rate at the mechanical guide.

Original languageEnglish (US)
Pages (from-to)4325-4330
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - Dec 1 1999

Fingerprint

Tracking Control
Actuator
Actuators
Strings
Force control
Control Strategy
Slope
Torque
Trajectories
Lyapunov Equation
Model-based Control
Force Control
Hybrid Model
Vibration
Entire
Trajectory

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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title = "Velocity tracking control of an axially accelerating string and actuator system",
abstract = "In this paper, we present a control strategy for an axially moving string system that achieves vibration regulation along the string and ensures that the string tracks a desired axial velocity trajectory. The control strategy is implemented by utilizing the roller torque inputs applied at the entry and exit points of the string and a pair of control forces applied to the string via an interstitial mechanical guide. Given the hybrid model of the string system (i.e., the distributed parameter field equation coupled to discrete actuator equations), Lyapunov-type arguments are utilized to design a model-based control law that exponentially regulates the axial velocity tracking error and the string displacement along the entire span. The proposed control law is based on measurements of the string displacement, velocity, slope, and slope rate at the mechanical guide.",
author = "F. Zhang and Nagarkatti, {S. P.} and Costic, {B. T.} and Dawson, {D. M.} and Rahn, {Christopher D.}",
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Velocity tracking control of an axially accelerating string and actuator system. / Zhang, F.; Nagarkatti, S. P.; Costic, B. T.; Dawson, D. M.; Rahn, Christopher D.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 5, 01.12.1999, p. 4325-4330.

Research output: Contribution to journalConference article

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T1 - Velocity tracking control of an axially accelerating string and actuator system

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AU - Nagarkatti, S. P.

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AU - Dawson, D. M.

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N2 - In this paper, we present a control strategy for an axially moving string system that achieves vibration regulation along the string and ensures that the string tracks a desired axial velocity trajectory. The control strategy is implemented by utilizing the roller torque inputs applied at the entry and exit points of the string and a pair of control forces applied to the string via an interstitial mechanical guide. Given the hybrid model of the string system (i.e., the distributed parameter field equation coupled to discrete actuator equations), Lyapunov-type arguments are utilized to design a model-based control law that exponentially regulates the axial velocity tracking error and the string displacement along the entire span. The proposed control law is based on measurements of the string displacement, velocity, slope, and slope rate at the mechanical guide.

AB - In this paper, we present a control strategy for an axially moving string system that achieves vibration regulation along the string and ensures that the string tracks a desired axial velocity trajectory. The control strategy is implemented by utilizing the roller torque inputs applied at the entry and exit points of the string and a pair of control forces applied to the string via an interstitial mechanical guide. Given the hybrid model of the string system (i.e., the distributed parameter field equation coupled to discrete actuator equations), Lyapunov-type arguments are utilized to design a model-based control law that exponentially regulates the axial velocity tracking error and the string displacement along the entire span. The proposed control law is based on measurements of the string displacement, velocity, slope, and slope rate at the mechanical guide.

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