Revista de Ingeniería

revinge | eISSN 2011-0049 | ISSN 0121-4993

Self-Tuning Control for a Class of Bilinear Systems

No. 33 (2011-01-01)
  • Anna Patete
    aPh.D. Advanced Multidisciplinary Engineering. Assistant Professor, Universidad de Los Andes. Mérida, Venezuela. apatete@ula.ve
  • Miguel Ríos
    bPh.D. Full Professor, Universidad de Los Andes. Mérida, Venezuela. riosm@ula.ve
  • Claudia Gómez
    cPh.D. Associate Professor, Universidad de Los Andes. Mérida, Venezuela. claudiag@ula.ve
  • Katsuhisa Furuta
    dPh.D. in Engineering. Professor Emeritus, Department of Robotic and Mechatronics, Japan Tokyo Denki University. Tokyo, Japan. furuta@fr.dendai.ac.jp

Abstract

In this paper, a self-tuning algorithm based on the generalized minimum variance criterion is proposed for the stabilization of a class of bilinear systems. Using a Lyapunov function and the sliding mode control approach, the stability of the proposed algorithm is proven. The proposed self-tuning algorithm is applied to a simulated example to evaluate its performance.

Keywords: Bilinear systems, generalized minimum variance, self-tuning control