Quadratic stabilization of bilinear control systems

详细信息    查看全文

• 作者：M. V. Khlebnikov
• 刊名：Automation and Remote Control
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：77
• 期：6
• 页码：980-991
• 全文大小：820 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Systems Theory and Control
  Automation and Robotics
  Mechanical Engineering
  Computer-Aided Engineering and Design
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1608-3032
• 卷排序：77

文摘

In this paper, a stabilization problem of bilinear control systems is considered. Using the linear matrix inequality technique and quadratic Lyapunov functions, an approach is proposed to the construction of the so-called stabilizability ellipsoid such that the trajectories of the closed-loop system emanating from any point inside this ellipsoid asymptotically tend to the origin. The approach allows for an efficient construction of nonconvex approximations to stabilizability domains of bilinear systems.The results are extended to robust formulations of the problem, where the system matrix is subjected to structured uncertainty.Original Russian Text © M.V. Khlebnikov, 2016, published in Avtomatika i Telemekhanika, 2016, No. 6, pp. 47–60.This paper was recommended for publication by B.T. Polyak, a member of the Editorial Board