NDLI: Limit Cycle Analysis of Flexible Structures Under Discontinuous Feedback Control

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Borre, Michael Flashner, Henryk
Copyright Year	2010
Abstract	A method for calculating all periodic solutions and their domains of attraction for flexible systems under nonlinear feedback control is presented. The systems considered consist of mechanical systems with many flexible modes and a relay type controller coupled with a PID control law operating in a feedback configuration. The proposed approach includes three steps. First, limit cycle frequencies and periodic fixed points are computed exactly, using a block diagonal state-space modal representation of the plant dynamics. Then the relay switching surface is chosen as the Poincare mapping surface and is discretized using the cell mapping method. Finally, the region of attraction for each limit cycle is computed using the cell mapping algorithm and employing an error based convergence criterion. An example consisting of a system with two modes, a relay with hysteresis and a PD controller is used to demonstrate the proposed approach.
Sponsorship	Dynamic Systems and Control Division
Starting Page	599
Ending Page	606
Page Count	8
File Format	PDF
ISBN	9780791844182
DOI	10.1115/DSCC2010-4214
e-ISBN	9780791838846
Volume Number	ASME 2010 Dynamic Systems and Control Conference, Volume 2
Conference Proceedings	ASME 2010 Dynamic Systems and Control Conference
Language	English
Publisher Date	2010-09-12
Publisher Place	Cambridge, Massachusetts, USA
Access Restriction	Subscribed
Subject Keyword	Errors Algorithms Flexible systems Feedback Dynamics (mechanics) Control equipment Limit cycles Flexible structures Poincaré maps
Content Type	Text
Resource Type	Article

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