Robust control of electrodynamic shaker with 2dof control using H∞ filter

Abstract This paper presents the application of a two-degree-of-freedom (2dof) control of an electrodynamic shaker that is not permitted to employ the iteration control method. In order to improve the control performance, an adaptive filter is added to the 2dof controller using μ -synthesis in the feedback controller. The uncertainty of the controlled plant is taken into account and the adaptive filter based on the H ∞ filtering problem is employed. In comparison to using a general 2dof controller and adaptive filter, the system remains robust against the uncertainty. A good performance for the controller is achieved in experiments by using actual equipment with the nonlinear characteristics that exists in the secondary path.

[1]  M. Fujita,et al.  Design of an filter-based robust visual servoing system , 1998 .

[2]  Yoshihiro Dozono,et al.  Shaking-Table Control by Real-Time Compensation of the Reaction Force Caused by a Nonlinear Specimen , 2004 .

[3]  Jonathan P. How,et al.  Estimation-based synthesis of H∞-optimal adaptive FIR filters for filtered-LMS problems , 2001, IEEE Trans. Signal Process..

[4]  Kazuo Konagai,et al.  Simulation of nonlinear soil-structure interaction on a shaking table , 2002 .

[5]  Dayong Zhou,et al.  A New Active Noise Control Algorithm That Requires No Secondary Path Identification Based on the SPR Property , 2007, IEEE Transactions on Signal Processing.

[6]  Jianming Yang,et al.  Two-degree-of-freedom controller to reduce the vibration of vehicle engine-body system , 2001, IEEE Trans. Control. Syst. Technol..

[7]  Jan Swevers,et al.  Robust linear control of an active suspension on a quarter car test-rig , 2005 .

[8]  James A. Mynderse,et al.  H∞ loopshaping control of a steering wheel vibration simulator using complex lead filter , 2007, 2007 European Control Conference (ECC).

[9]  Masayuki Fujita,et al.  Μ -synthesis of an Electromagnetic Suspension System , 1995, IEEE Trans. Autom. Control..

[10]  Masayuki Fujita,et al.  Finite horizon discrete-time H/sub /spl infin// filter with application to an active vision system , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[11]  Chang-Ming Liaw,et al.  Random vibration test control of inverter-fed electrodynamic shaker , 2002, IEEE Trans. Ind. Electron..

[12]  David P Stoten,et al.  Recent application results of adaptive control on multi-axis shaking tables , 1998 .

[13]  R. Horowitz,et al.  Robust dynamic modeling and control of dual-stage actuators , 2006, IEEE Transactions on Magnetics.

[14]  J.P. How,et al.  Estimation-based synthesis of H/sub /spl infin//-optimal adaptive equalizers over wireless channels , 1999, Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No.99CH37042).

[15]  T. Sugie,et al.  General solution of robust tracking problem in two-degree-of-freedom control systems , 1986 .

[16]  Woon-Seng Gan,et al.  A model predictive algorithm for active noise control with online secondary path modelling , 2004 .

[17]  Masayuki Fujita,et al.  Application of Two-Degree-of-Freedom Control to Multi-Axis Electrodynamic Shaking System Using-Synthesis and Adaptive Filter , 2003 .

[18]  Hiromitsu Ohmori,et al.  New direct adaptive active noise control algorithms in case of uncertain secondary path dynamics , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[19]  Paul Sas,et al.  Adaptive active control of noise in 3-D reverberant enclosures , 1993 .

[20]  Shuichi Adachi,et al.  Active noise control system for automobiles based on adaptive and robust control , 1998, Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104).

[21]  Barry W. Williams,et al.  Adaptive inverse control algorithm for shock testing , 2000 .