Cart (Loading....) | Create Account
Close category search window
 

Determination of the domain of attraction and regions of guaranteed cost for robust model predictive controllers based on linear matrix inequalities

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Rossi, F.Q. ; Electron. Eng. Dept., Inst. Tecnol. de Aeronaut. (ITA), São José dos Campos, Brazil ; Waschburger, R. ; Galvao, R.K.H.

The robust model-based predictive control (RMPC) formulation originally proposed in [1] ensures convergence of the state trajectory to the origin and satisfaction of operational constraints, provided that a given system of LMIs is feasible at the beginning of the control task. The largest domain of attraction of the origin under the resulting closed-loop control law can be defined as the set of all state values for which the LMIs are feasible. The present paper demonstrates that such a set is convex and symmetric about the origin, which allows the determination of extreme points through the solution of a modified version of the original RMPC optimization problem. An inner approximation of the largest domain of attraction can then be generated as the convex hull of these extreme points. The convexity and symmetry properties are also demonstrated for regions of guaranteed cost, defined as the set of initial states for which the resulting cost is upper-bounded by a given value. Inner approximations of such regions can also be obtained by solving a modified version of the RMPC optimization problem. For illustration, a numerical simulation model of an angular positioning system is employed, as in [1]. In this example, the proposed approximations were found to be in agreement with the feasibility and cost results obtained in a pointwise manner for a grid of initial conditions.

Published in:

Control (CONTROL), 2012 UKACC International Conference on

Date of Conference:

3-5 Sept. 2012

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.