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Controller Design for Nonlinear Multi-Input/Multi-Output Systems Using the Contoured Robust Controller Bode Plot

[+] Author Affiliations
J. D. Taylor

Carnegie Mellon University, Pittsburgh, PA

William Messner

Tufts University, Medford, MA

Paper No. DSCC2013-4047, pp. V003T34A006; 9 pages
doi:10.1115/DSCC2013-4047
From:
  • ASME 2013 Dynamic Systems and Control Conference
  • Volume 3: Nonlinear Estimation and Control; Optimization and Optimal Control; Piezoelectric Actuation and Nanoscale Control; Robotics and Manipulators; Sensing; System Identification (Estimation for Automotive Applications, Modeling, Therapeutic Control in Bio-Systems); Variable Structure/Sliding-Mode Control; Vehicles and Human Robotics; Vehicle Dynamics and Control; Vehicle Path Planning and Collision Avoidance; Vibrational and Mechanical Systems; Wind Energy Systems and Control
  • Palo Alto, California, USA, October 21–23, 2013
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5614-7
  • Copyright © 2013 by ASME

abstract

In this paper, a novel approach to controller design for non-linear multi–input/multi–output (MIMO) systems is presented based on the Contoured Robust Controller Bode (CRCBode) plot. CRCBode plots show level–sets of a robust metric and identify certain “forbidden regions” on the controller Bode magnitude and phase plots such that intersections of the controller frequency response with these forbidden regions indicate that a robust stability and performance criterion is violated. Nonlinear system dynamics are included as a structured uncertainty set consisting of linearizations about several operating points. To demonstrate this approach, we design a controller for a MIMO high–speed, low–tension magnetic tape drive memory system. A preliminary approximate inverse step is described, followed by several loop–shaping design iterations to eliminate all intersections with the forbidden regions on the CRCBode diagrams. Finally, the CRCBode compensator is compared to one generated using an automated H synthesis algorithm.

Copyright © 2013 by ASME

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