Notice of Violation of IEEE Publication Principles: Reduced order gain scheduled output/state feedback control based on H/sub ∞/ performance preserved interpolation

Notice of Violation of IEEE Publication Principles

"Reduced Order Gain Scheduled Output/state Feedback Control Based on H-infinity Performance Preserved Interpolation"
by Zhongwei Yu, Huitang Chen, Peng-Yung Woo
IEEE Transactions on Control Systems Technology, vol. 13, no. 4, July 2005, pp. 670-681

After careful and considered review of the content and authorship of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.

This paper contains substantial duplication of content from the paper cited below. The original content was copied without attribution (including appropriate references to the original author(s) and/or paper title) and without permission.

Due to the nature of this violation, reasonable effort should be made to remove all past references to this paper, and future references should be made to the following article:

"Identification and robust control of linear parameter-varying systems"
by Lawton H. Lee
in his PhD thesis, UC Berkeley, CA, 1997


For a linear parameter varying (LPV) system, a new approach to the design of a reduced order gain scheduled output/state controller without varying-parameter rate feedback based on H
_∞
performance preserved interpolation is presented. First, the regular LPV output feedback problem is redescribed as an output/state feedback problem in accordance with the fact that certain states are available for direct feedback. After the concept of parameter-varying H
_∞
performance is introduced, the controller design is translated into parameterized linear matrix inequalities (LMI) with respect to the solution of parameter matrices based on the parameter-dependent Lyapunov function. Then, a sufficient condition to partition the varying-parameter set based on the concept of H
_∞
performance coverage is given. The varying-parameter set is partitioned into several sufficiently small subsets. After the constant matrices, which meet the demands, are found, the required continuous parameter matrices are obtained by using interpolation. The designed controller not only overcomes the drawback of the existing gain scheduled LPV controller synthesis, i.e., no guarantee for finding a gain scheduled controller which meets the demands, but also eliminates the varying-parameter rate feedback. Conservatism is reduced. Simulations and experiments validate the effectiveness of the proposed controller.