By Topic

Stabilizability of constrained uncertain linear systems via smooth control Lyapunov R-functions

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)
Balestrino, A. ; Dept. of Energy & Syst. Eng., Univ. of Pisa, Pisa, Italy ; Caiti, A. ; Grammatico, S.

The stabilization problem of constrained uncertain linear systems is addressed via the class of control Lyapunov R-functions that are obtained reformulating the classic geometric intersection operator in terms of R-functions. The feasibility test of the proposed smooth control Lyapunov functions can be casted into (bi)linear matrix inequalities conditions. Like polyhedral Lyapunov functions, the maximal estimate of the controlled invariant state space set is achieved. The advantage of the proposed approach is that the inner sublevel sets are smooth and can be made everywhere differentiable. This smoothing technique is very general and it can be used to smooth both polyhedral and truncated ellipsoidal control Lyapunov functions to improve the control performances, as shown in some benchmark examples.

Published in:

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Date of Conference:

12-15 Dec. 2011