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Control of Robot Manipulators in Joint Space - R Kelly, V Santibanez and A Loria Part 1 ppt

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 1 ppt

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 1 ppt

... clearly identify thosevariables that are available and that have an in uence on the behavior of thesystem and more particularly, on its outputs. These variables are referred toas inputs and ... for industrial robot manipulators is the Propor-tional Integral Derivative (PID) controller. In general, this type of controllerx Series Editors’ Forewordthe narrative as and when they are ... applications and research prototypes include the so-called variable-structure controllers, fuzzy controllers, learning controllers, neural-net-basedcontrollers, to mention a few.The majority of available...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 9 ppt

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 9 ppt

... some readers; in particular,for a senior course on robot control since it makes use of results involving con-cepts such as ‘functional spaces’, material exposed in Appendix A and reservedfor ... 2Figure 11 .2. Diagram of the Pelican robot Example 11 .1. Consider the Pelican robot presented in Chapter 5, and shown in Figure 11 .2. The numerical values of its parameters are listed in Table 5 .1. Consider ... Compensation In 19 87 an adaptive controller to solve the motion control problem of robot manipulators was reported in the literature. This controller, which over theyears has become increasingly...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 13 ppt

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 13 ppt

... Figure 15 .2. Graphs of adaptive parametersˆθ 1 and ˆθ2 in Figure 15 .2 where we appreciate that both parameters tend to val-ues which are relatively near the unknown values of θ 1 and θ2, ... control objective is achieved globally. That is,for any initial position error˜q(0) ∈ IRnvelocity error˙˜q(0) ∈ IRn, and arbitrary uncertainty over the dynamic parameters θ ∈ IRm of ... convergence and the proof of thisproperty relies on a property called persistency of excitation. Verifyingthis property in applications is in general a difficult task and as a matter of fact, often...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 14 ppt

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 14 ppt

... qm: angular position of the axis of the motor (rad)• q : angular position of the axis of the mechanical load 1 (rad)• r : gears reduction ratio (in general r 1) v : armature voltage (V) .The ... robotics applications arepermanent-magnet direct-current motors (DC).K a ,Kb ,R a v Jmfm 1 :r qτFigure D .1. DC motorAn idealized mathematical model that characterizes the behavior of a permanent-magnet ... “Nonlinear systems analysis”, Prentice-Hall, NewJersey.The proof of Lemma A. 5 is based on the proof of the so-called Barb˘alat’slemma originally reported in 416 D Dynamics of Direct-current MotorskL=...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 2 potx

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 2 potx

... control) are studied in the first part of the book• Ortega R. , Lor´ a A., Nicklasson P. J. and Sira-Ram´ırez H., 19 98, “Passivity-based control of Euler-Lagrange Systems Mechanical, Electrical and ... control of robot manipula-tors”, Second Edition, Springer-Verlag, London.2 .1 Linear Algebra 23Obviously, any diagonal matrix is symmetric. In the particular case when a 11 = a 22= ··· = a nn= ... control, variable-structure control, learning control, fuzzy control and neural-networks-based. These topics, which demand a deeper knowledge of control and stability theory, may make part of a secondcourse...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 3 doc

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 3 doc

... 2 joint nlink nFigure 3 .1. Abstract diagram of an n-DOF robot manipulatorConsider the generic configuration of an articulated arm of n links shown in Figure 3 .1. In order to derive the mathematical ... analysis, stability and control , Springer-Verlag, New York.Other references on differential equations and stability in the sense of Lyapunov are:• Arnold V. , 19 73, “Ordinary differential equations”, ... mathematical model of a robot one typ-ically starts by placing a 3-dimensional reference frame (e.g. in Cartesiancoordinates) at any location in the base of the robot. Here, axes will be la-beled...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 4 docx

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 4 docx

... actuators is also appropriate to control robots having such actuators and geared transmissions with a high reductionratio.It is important to remark that the parameters involved in Equation (3.30)depend ... formmay be rewritten in the state -space form. As a matter of fact, this property isnot limited to particular examples but stands as a fact for robot manipulators in general. This is because the inertia ... : angular position of the load axis [rad],• r : gear reduction ratio (in general r 1) ,• v : armature voltage [V] .Equation (3.29) relates the voltage v applied to the armature of the motorto...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 5 pot

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 5 pot

... Robotica, Vol. 19 ,pp. 11 19 .For other properties of robot manipulators not mentioned here and rele-vant to control, see• Ortega R. , Lor´ a A., Nicklasson P. J., Sira-Ram´ırez H., 19 98, “Passivity-based ... present now the derivation of certain bounds on the inertia matrix, the ma-trix of centrifugal and Coriolis forces and the vector of gravitational torques.The bounds that we derive are fundamental ... of mass are denoted by lc1 and lc2for links 1 and 2, respectively. Finally, I 1 and 5.2 Inverse Kinematics 11 7where ϕ 1 : Θ → IR2 and Θ ⊆ IR2.The derivation of the inverse kinematic...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 6 potx

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 6 potx

... the inertia matrix, C(q,˙q)˙q ∈ IRnis the vector of centrifugal and Coriolis forces, g(q) ∈ IRnis the vector of gravitational forces and torques and τ ∈ IRnis a vector of external forces ... Nagarkatti S. P., Zhang F., 2000, “Lyapunov–based control of mechanical systems”, Birkh¨auser, Boston, MA. A particularly relevant work on robot motion control and which covers in a unified manner ... an analysis of PD control for n-DOF robot manipulators. The behavior of an n-DOF robot in closed-loop with PD control is deter-mined by combining the model Equation (II .1) with the control law...
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Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 7 pdf

Control of Robot Manipulators in Joint Space - R. Kelly, V. Santibanez and A. Loria Part 7 pdf

... inertia ma-trix M(q) and the vector of gravitational torques g(q). Naturally, we assumehere that the position q(t), the velocity˙q(t) and, in particular at the instantt = 0, are measured by appropriate ... control law at two sampling frequencies: a high frequencyfor the evaluation of the PD -part, and a low frequency for the evaluation of g(q(t)). An alternative solution consists in using a variant ... Measurement, and Control, Vol. 10 3, pp. 11 9 12 5.• Arimoto S., Miyazaki F., 19 86, “Stability and robustness of PD feedback control with gravity compensation for robot manipulators , in F. Paul...
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