Nonlinear Tracking Control via Piecewise Lyapunov Functions

• Taniguchi Tadanari

• Sugeno Michio

• Tanaka Kazuo

Bibliographic Information

Other Title

• 区分的リアプノフ関数による非線形追従制御

Abstract

This paper presents a concept to design a Lyapunov function candidate and the stabilizing controllers of nonlinear discrete-time systems. A stabilization algorithm for linear step-varying discrete-time system is proposed via piecewise Lyapunov functions based on a tracking trajectory control. This tracking control can be applied to arbitrary trajectories. The solutions can be solved efficiently because the design conditions are represented as linear matrix inequality (LMI) conditions. We apply the algorithm to nonlinear discrete-time systems. An illustrated example is given to show the validity of the proposed method.

Journal

• Proceedings of the Fuzzy System Symposium

  Proceedings of the Fuzzy System Symposium 22 (0), 236-236, 2006

  Japan Society for Fuzzy Theory and Intelligent Informatics

Keywords

• nonlinear control
• piecewise Lyapunov function
• tracking control
• discrete-time system

Details

• CRID: 1390282680644292352
• NII Article ID: 130004591370
• DOI: 10.14864/fss.22.0.236.0
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed