Design of a controller using successive approximation for singularly perturbed bilinear systems

Jae Won Chang, Beom Soo Kim, Myo Taeg Lim

Research output: Contribution to conferencePaper

Abstract

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 the successive approximation. In particular, the order reduction is achieved by using 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 optimal control problems in the singularly perturbed bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedure.

Original languageEnglish
Pages657-661
Number of pages5
Publication statusPublished - 2001 Dec 1
EventProceedings of the 2001 IEEE International Conference on Control Applications CCA '01 - Mexico City, Mexico
Duration: 2001 Sep 52001 Sep 7

Other

OtherProceedings of the 2001 IEEE International Conference on Control Applications CCA '01
CountryMexico
CityMexico City
Period01/9/501/9/7

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Chang, J. W., Kim, B. S., & Lim, M. T. (2001). Design of a controller using successive approximation for singularly perturbed bilinear systems. 657-661. Paper presented at Proceedings of the 2001 IEEE International Conference on Control Applications CCA '01, Mexico City, Mexico.