A Piecewise Approach to Control for Nonlinear Systems

• Taniguchi Tadanari

  Tokai Univ.

• Sugeno Michio

  Doshisha Univ.

• Tanaka Kazuo

  Univ. of Electro-Communications

Abstract

In this paper, we present a basic concept to design a Lyapunov function candidate and the stabilizing controllers of nonlinear discrete-time systems. First, we propose a stabilization algorithm for linear step-varying discrete-time system via piecewise Lyapunov functions based on a tracking trajectory control. The piecewise Lyapunov functions satisfying arbitrary trajectory control can be constructed. The design conditions are represented as LMI conditions. Therefore, the solutions can be solved efficiently. The algorithm is applied to nonlinear discrete-time systems. Finally, some illustrated examples are given to show the validity of the proposed method.

Journal

• SCIS & ISIS

  SCIS & ISIS 2006 (0), 1944-1948, 2006

  Japan Society for Fuzzy Theory and Intelligent Informatics

Keywords

• Intelligent Control
• Nonlinear Systems
• Piecewise Lyapunov functions

Details

• CRID: 1390282680567114240
• NII Article ID: 130004672464
• DOI: 10.14864/softscis.2006.0.1944.0
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed