U-model based LMI robust controller design

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

Abstract

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.

• Presentation Conference Type: Conference Paper (unpublished)
• Conference Name: 2014 33rd Chinese Control Conference (CCC)
• 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 controller design, U-pole placement control systems, closed loop transfer function, control-oriented U-model based nonlinear control systems, discrete-time H∞ robust control, linear block, linear matrix inequality, nonlinear dynamic model, nonlinear models, closed loop systems, mathematical model, polynomials, robust control;Robustness;Uncertainty;H∞ robust control;LMI;Nonlinear control systems;U-modelpole placement control
• Public URL: https://uwe-repository.worktribe.com/output/814270
• Publisher URL: http://dx.doi.org/10.1109/ChiCC.2014.6896973
• 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)
• Contract Date: Feb 21, 2016