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  • 标题:Stability Analysis of a Voltage-Based Controller for Robot Manipulators
  • 作者:Jorge Orrante-Sakanassi ; Victor Santibañez ; Javier Moreno-Valenzuela
  • 期刊名称:International Journal of Advanced Robotic Systems
  • 印刷版ISSN:1729-8806
  • 电子版ISSN:1729-8814
  • 出版年度:2013
  • 卷号:10
  • 期号:1
  • 页码:20
  • DOI:10.5772/53894
  • 语种:English
  • 出版社:SAGE Publications
  • 摘要:A voltage-based control scheme for robot manipulators has been presented in recent literature, where feedback linearization is applied in the electrical equations of the DC motors in order to cancel the electrical current terms. However, in this paper we show that this control technique generates a system of the form Ex = Ax + Bu, where E is a singular matrix, that is to say, a generalized state-space system or singular system. This paper introduces a formal stability analysis of the respective system by considering the state-space equation as a singular system. Furthermore, in order to avoid the singularity of the closed-loop system, modified voltage-based control schemes are proposed, whose Lyapunov stability analyses conclude semiglobal asymptotic stability for the set-point control case and uniform boundedness of the solutions and semiglobal convergence of the position, as well as velocity errors for the tracking control case. The proposed control systems are simulated for the tracking and set-point cases using the CICESE Pelican robot driven by DC motors.
  • 关键词:DC Motor; Robot Manipulator; Voltage-Based Control; PID Control
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