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U-model based LMI robust controller design

Liu, Xin; Peng, Yuan; Zhu, Quanmin; Narayan, Pritesh Praneet

U-model based LMI robust controller design Thumbnail


Xin Liu

Yuan Peng

Quanmin Zhu


In this study, an LMI (Linear Matrix Inequality) based H� robust controller design approach is proposed to improve the performance of the designed U-pole placement control systems. Unlike the classical design procedures, the control-oriented U-model based nonlinear control systems cancel the nonlinearity of the nonlinear models. Therefore, the closed loop transfer function of U-pole placement control system can be regarded as a linear block. The solvability and sub-optimality of discrete time H� robust control are converted to find feasible solutions for LMIs. Once the internal parameters changed, the LMI based H� controllers have a higher level of robustness compared with U-pole placement controllers. A nonlinear dynamic model is selected to test the performance of the LMI robust controller to demonstrate the proposed approach effective.


Liu, X., Peng, Y., Zhu, Q., & Narayan, P. P. (2014, July). U-model based LMI robust controller design. Paper presented at 2014 33rd Chinese Control Conference (CCC), Nanjing, China

Presentation Conference Type Conference Paper (unpublished)
Conference Name 2014 33rd Chinese Control Conference (CCC)
Conference Location Nanjing, China
Start Date Jul 28, 2014
End Date Jul 30, 2014
Acceptance Date Apr 1, 2014
Publication Date Jul 31, 2014
Deposit Date Nov 18, 2015
Publicly Available Date Feb 21, 2016
Peer Reviewed Peer Reviewed
Pages 2200-2205
Keywords H∞ control, closed loop systems, control system synthesis, discrete time systems, linear matrix inequalities, nonlinear control systems, pole assignment, robust control, transfer functions, H∞ robust controller design, U-model based LMI robust control
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Additional Information Additional Information : © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Title of Conference or Conference Proceedings : 2014 33rd Chinese Control Conference (CCC)


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