Model Reference Position Control of an Elastic Two-Mass System with Compensation of Coulomb Friction

Author(s):  
U. Schafer ◽  
G. Brandenburg
2004 ◽  
Vol 126 (1) ◽  
pp. 131-138 ◽  
Author(s):  
David B. Rathbun ◽  
Martin C. Berg ◽  
Keith W. Buffinton

Pulse width control refers to the use of a control law to determine the duration of fixed-height force pulses for point-to-point position control of a plant that is subject to mechanical friction, including stiction. The use of constant-gain pulse width control laws for precise positioning of structurally flexible plants subject to stiction and Coulomb friction is analyzed. It is shown that when the plant is a simple two-mass system subject to stiction and Coulomb friction, a position error limit cycle can result. Sufficient conditions for stability and self-sustained oscillation of this closed-loop system are derived. The sufficient conditions for stability are used to determine conditions on the plant parameters and the control gain that guarantee closed-loop stability and thus limit-cycle-free operation and zero steady-state position error. The analysis methods that are introduced are demonstrated in applications to the control of the position of the end-effector of an industrial robot.


1995 ◽  
Vol 28 (8) ◽  
pp. 103-108
Author(s):  
J.C. Cadiou ◽  
N.K. M'Sirdi ◽  
P. Blazevic

1988 ◽  
Vol 110 (4) ◽  
pp. 343-349 ◽  
Author(s):  
P. N. Nikiforuk ◽  
K. Tamura

This paper discusses the design of a model reference type of adaptive control system for a linear unknown plant with system and observation disturbances. The disturbances are assumed to be approximately expressed by step, sinusoidal, and other analytical functions. The design of a controller, called a disturbance accommodating adaptive controller (DAAC), which eliminates the effect of these disturbances at the plant output, is described. Two types of bias DAAC are given as examples and are applied to the adaptive control of a DC-servo motor system. The plant (the DC-servo system) consists of two unknown loads connected through an electrical clutch and Coulomb friction. The effect of the friction on the plant is considered as an unknown bias disturbance and the DAAC is implemented on an analog computer. Experimental results for the position control of the DAAC system are given.


Author(s):  
N D Tillett ◽  
N D Vaughan ◽  
A Bowyer

A simulation model of a rotary pneumatic servo system has been developed and verified against an experimental system. The double-acting rotary actuator is a novel device utilizing flexible inflatable bladders. The device differs from conventional pneumatic cylinders in that it exhibits low levels of friction, as it has no sliding seals, but it does suffer from hysteresis caused by bladder distortion. The objective of this study was to develop a tool with which to investigate the effect of various forms of hysteresis and other parameters on system performance. The dynamic model utilizes a linearized analysis of pneumatic components based on earlier studies. The principal advance described in this paper relates to the inclusion of non-linear elements. These are hysteresis caused by friction or the distortion of flexible components, and a digital controller implementation. The simulation successfully predicted all major modes of behaviour. Simplified models of rubber and coulomb friction-induced hysteresis modified simulation performance in line with experimental results. An investigation in simulation showed that coulomb friction-induced hysteresis had a greater damping effect than that caused by distorting the bladders. This result applies only to position control, as hysteresis has been shown not to provide damping in trajectory control applications.


2017 ◽  
Vol 61 (4) ◽  
pp. 266 ◽  
Author(s):  
Csaba Budai ◽  
László Kovács L.

In this paper, we investigate the combined effect of viscous damping and Coulomb friction on sampled-data mechanical systems. In these systems, instability can occur due the sampling of the applied discrete-time controller which is compensated by the two different physical dissipation effects. In order to investigate the interplay between these, we focus on how the stable domain of operation is extended by the dry friction compared to viscous damping. We also show that dry friction causes concave envelope vibrations in this extended region. The analytical results, presented in the form of stability charts, are verified by a detailed set of simulations at different representative control parameter values.


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