A method is presented that can often reduce the number of scheduling parameters for gain-scheduled controller implementation by transformation of the system representation using parameter-dependent dimensional transformations. In some cases, the reduction in parameter dependence is so significant that a linear parameter-varying system can be transformed to an equivalent linear time invariant (LTI) system, and a simple example of this is given. A general analysis of the parameter-dependent dimensional transformation using a matrix-based approach is then presented. It is shown that, while some transformations simplify gain scheduling, others may increase the number of scheduling parameters. This work explores the mathematical conditions causing an increase or decrease in varying parameters resulting from a given transformation, thereby allowing one to seek transformations that most reduce the number of gain-scheduled parameters in the controller synthesis step.
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Reduction in the Number of Gain-Scheduling Parameters Using Dimensional Transformation
Haftay Hailu,
Haftay Hailu
Control Systems Engineer
Honeywell Aerospace
, Torrance, CA 90504
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Sean Brennan
Sean Brennan
Assistant Professor
Department of Mechanical and Nuclear Engineering,
e-mail: sbrennan@psu.edu.
The Pennsylvania State University
, 318 Leonhard Building, University Park, PA 16802
Search for other works by this author on:
Haftay Hailu
Control Systems Engineer
Honeywell Aerospace
, Torrance, CA 90504
Sean Brennan
Assistant Professor
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, 318 Leonhard Building, University Park, PA 16802e-mail: sbrennan@psu.edu.
J. Dyn. Sys., Meas., Control. May 2008, 130(3): 034505 (6 pages)
Published Online: May 12, 2008
Article history
Received:
March 18, 2005
Revised:
October 19, 2007
Published:
May 12, 2008
Citation
Hailu, H., and Brennan, S. (May 12, 2008). "Reduction in the Number of Gain-Scheduling Parameters Using Dimensional Transformation." ASME. J. Dyn. Sys., Meas., Control. May 2008; 130(3): 034505. https://doi.org/10.1115/1.2907396
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