By Topic

LQ robust controllers for polynomially uncertain systems

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

2 Author(s)
Lavaei, J. ; Dept. of Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA ; Aghdam, A.G.

This paper is concerned with the LQ optimal robust control of discrete-time LTI systems with uncertainties belonging to a semi-algebraic set. Given a prescribed cost function, the problem of designing a gain-scheduled static controller, whose gain depends polynomially on the uncertain parameters is formulated as a SOS problem. This indeed requires solving two hierarchies of SDP problems, which may in turn introduce high computational burden, and hence complicate the optimal robust controller design. To bypass this barrier, an alternative approach is developed which is much less involved, at the cost of obtaining a near-optimal controller (as opposed to an optimal one). The efficacy of this work is elucidated in two numerical examples.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008