By Topic

Design of a controller using successive approximation for singularly perturbed bilinear 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
$33 $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)
Jae-Won Chang ; Sch. of Mechatronics Eng., Korea Univ., Seoul, South Korea ; Beom-Soo Kim ; Myo-Taeg Lim

The infinite time optimum to regulate the problem of singularly perturbed bilinear systems with a quadratic performance criterion is obtained by a sequence of algebraic Lyapunov equations. The new approach is based on successive approximations. In particular, the order reduction is achieved by using a suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. In addition, the slow part of the solution and the fast part solution are now completely decoupled so that the numerical ill-conditioning is removed. The proposed algorithms not only solve the optimal control problems in singularly perturbed bilinear systems but also reduce the computation time. This paper also includes an example to demonstrate the procedures

Published in:

Control Applications, 2001. (CCA '01). Proceedings of the 2001 IEEE International Conference on

Date of Conference: