Truncated Predictor Feedback Control for Active Magnetic Bearing Systems With Input Delay

In this brief, we investigate the control of linear systems with input delay with applications to active magnetic bearings (AMBs). This study is motivated by emerging energy explorations that require compressors and other rotating machines to operate in remote locations. The separation between the machine and the control site in these applications, which may extend for several kilometers, introduces a time delay in the transmission of the control signals. Here, we study the effect of input delay in the control of AMBs in remote rotating machines and we present a truncated predictor feedback (TPF) control design to maximize the input delay that the stable closed-loop system can tolerate. The controller corresponding to the maximum input delay is obtained iteratively from the solutions to local linear matrix inequality problems. The capabilities of the designed TPF controller are first verified through simulation and then experimentally validated on an AMB test rig.

[1]  A. Kojima,et al.  Robust stabilization of a system with delays in control , 1994, IEEE Trans. Autom. Control..

[2]  Warren E. Dixon,et al.  Predictor-based control for an uncertain Euler-Lagrange system with input delay , 2010, ACC.

[3]  Stephen P. Boyd,et al.  A path-following method for solving BMI problems in control , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[4]  M. Krstic.  Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay , 2010, IEEE Trans. Autom. Control..

[5]  Zongli Lin,et al.  An LMI approach to the control of exponentially unstable systems with input time delay , 2013, 52nd IEEE Conference on Decision and Control.

[6]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

[7]  Julián Salt,et al.  Hierarchical Triple-Maglev Dual-Rate Control Over a Profibus-DP Network , 2014, IEEE Transactions on Control Systems Technology.

[8]  Nejat Olgac,et al.  Delayed resonator with acceleration feedback - Complete stability analysis by spectral methods and vibration absorber design , 2014 .

[9]  Delphine Bresch-Pietri,et al.  Delay-Adaptive Predictor Feedback for Systems With Unknown Long Actuator Delay $ $ , 2010, IEEE Transactions on Automatic Control.

[10]  O. J. M. Smith,et al.  A controller to overcome dead time , 1959 .

[11]  Javad Mohammadpour,et al.  Second-Order Sliding Mode Strategy for Air–Fuel Ratio Control of Lean-Burn SI Engines , 2014, IEEE Transactions on Control Systems Technology.

[12]  David W. L. Wang,et al.  Time-Delayed Output Feedback Bilateral Teleoperation With Force Estimation for $n$-DOF Nonlinear Manipulators , 2014, IEEE Transactions on Control Systems Technology.

[13]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[14]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[15]  Z. Artstein.  Linear systems with delayed controls: A reduction , 1982 .

[16]  Zongli Lin,et al.  Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay , 2013, 2013 American Control Conference.

[17]  Zongli Lin,et al.  On Asymptotic Stabilizability of Linear Systems With Delayed Input , 2006, IEEE Transactions on Automatic Control.

[18]  Nathan van de Wouw,et al.  Predictor-Based Remote Tracking Control of a Mobile Robot , 2014, IEEE Transactions on Control Systems Technology.

[19]  Paul E. Allaire,et al.  Experimental Evaluation of a Surge Controller for an AMB Supported Compressor in the Presence of Piping Acoustics , 2014, IEEE Transactions on Control Systems Technology.

[20]  Takehito Azuma,et al.  Design And Experimental Verification Of State Predictive Lqg Controllers For Networked Control Systems , 2014 .