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Convex TP Model of the Dual Excenter Vibration System

  • Péter Baranyi
Chapter

Abstract

In this chapter the goal is to derive and prepare the TP model of the control system to the Dual Excenter for LMI based control design. We apply the TP model transformation on the qLPV model derived earlier in ( 13.12). For the numerical execution of the TP model transformation we use the values of the parameters as given in Table 14.1.
Table 14.1

Parameters of the prototypical system

Name

 

Value

Unit

 

Eccentricity of the rotors:

e

2. 09

mm

 

Mass of a rotor:

m 0

1. 6

g

 

Mass of the moving system and rotors:

M

45. 3

g

 

Mass moment of inertia of the rotor about C axis:

J 0

598

kg mm2

 

Damping of the environment:

c

30. . 200

Ns/m

 

Stiffness of the environment:

k

1000. . 15000

N/m

 

Motor voltages:

U1, U2

\(-10.. + 10\)

V

 

Voltage resolution:

\(\Delta U\)

0. 05

V

 

Armature resistance:

R a

11. 3

\(\Omega \)

 

Armature inductance:

L

0. 19 ⋅ 10−3

H

 

Torque and speed constant:

k e , k t

5. 08 ⋅ 10−3

Vs/rad

 

Keywords

Convex TP model HOSVD based canonical form Complexity trade-off 

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Péter Baranyi
    • 1
  1. 1.Technology and EconomicsSzecheny Istvan University and Budapest Univerity of Technology and EconomicsBudapestHungary

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