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Open AccessJournal ArticleDOI

Feedback stabilization and tracking of constrained robots

N.H. McClamroch, +1 more
- 01 May 1988 - 
- Vol. 33, Iss: 5, pp 419-426
TLDR
In this paper, the effects of constraint force required to maintain satisfaction of the constraints are considered, and conditions for stabilization and tracking using feedback are developed using mathematical models for constrained robot dynamics.
Abstract
Mathematical models for constrained robot dynamics, incorporating the effects of constraint force required to maintain satisfaction of the constraints, are used to develop explicit conditions for stabilization and tracking using feedback. The control structure allows feedback of generalized robot displacements, velocities, and the constraint forces. Global conditions for tracking, based on a modified computed-torque controller and local conditions for feedback stabilization, using a linear controller, are presented. The framework is also used to investigate the closed-loop properties if there are force disturbances, dynamics in the force feedback loops, or uncertainty in the constraint functions. >

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Citations
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Control and stabilization of nonholonomic dynamic systems

TL;DR: In this article, a class of inherently nonlinear control problems arising directly from physical assumptions about constraints on the motion of a mechanical system is identified and a general procedure for constructing a piecewise analytic state feedback which achieves the desired result is suggested.
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A survey of applications of second-order sliding mode control to mechanical systems

TL;DR: In this paper, a class of second-order sliding mode controllers, guaranteeing finite-time convergence for systems with relative degree two between the sliding variable and the switching control, is presented.
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The parallel approach to force/position control of robotic manipulators

TL;DR: The parallel approach to force/position control of robotic manipulators is presented, which shows a complete use of the available sensor measurements by operating the control action in a full-dimensional space without using selection matrices.
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Modeling, stability and control of biped robots-a general framework

TL;DR: An overview of the existing work and the needed future developments is presented and the use of discrete maps in studying the stability of the closed orbits that represent the dynamics of a biped, which can be characterized as a hybrid system.
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A survey of robot interaction control schemes with experimental comparison

TL;DR: In this paper, a survey of robot interaction control schemes for a manipulator, the end effector of which comes in contact with a compliant surface is presented, and a thorough analysis is developed by means of a number of case studies.
References
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Journal ArticleDOI

Hybrid position/force control of manipulators

TL;DR: A new conceptually simple approach to controlling compliant motions of a robot manipulator that combines force and torque information with positional data to satisfy simultaneous position and force trajectory constraints specified in a convenient task related coordinate system is presented.
Journal ArticleDOI

Compliance and Force Control for Computer Controlled Manipulators

TL;DR: A theory of force control based on formal models of the manipulator and the task geometry is presented, isolating the programmer from the fundamental complexity of low-level manipulator control.
Proceedings ArticleDOI

Active stiffness control of a manipulator in cartesian coordinates

TL;DR: In this article, a method of actively controlling the apparent stiffness of a manipulator end effecter is presented, which allows the programmer to specify the three transnational and three rotational stiffness properties of a frame located arbitrarily in hand coordinates.
Journal ArticleDOI

A new feedback method for dynamic control of manipulators

TL;DR: A new approach to the dynamic control of manipulators is developed from the viewpoint of mechanics and it is shown that a linear feedback of generalized coordinates and their derivatives are effective for motion control in the large.
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