Simplification of control design for driftless nonholonomic systems based on rough path anlaysis

• Nishimura Yûki

  Graduate School of Science and Engineering, Kagoshima University

• Takeuchi Kouki

  Graduate School of Science and Engineering, Kagoshima University

Abstract

This paper provides a strict system formulation for a class of nonholonomic systems with Lie bracket motions via rough path analysis. The dynamics of the resulting systems are represented by rough differential equations as augmented versions of ordinary differential equations. The rough differential equations are allowed to have rough signals generated by unbounded-variation functions and derived by classifying the functions according to “orders” of the boundedness. This paper clarifies rough differential equations driven by third-order rough signals, and the validity for control design problems is confirmed by considering a fourth-order chained system, which is a typical form of driftless affine nonholonomic systems.

Journal

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 10 (4), 431-442, 2019

  The Institute of Electronics, Information and Communication Engineers

Keywords

• nonlinear control
• nonholonomic systems
• Lie bracket motions
• rough path analysis

Details

• CRID: 1390001277364025472
• NII Article ID: 130007722653
• DOI: 10.1587/nolta.10.431
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/10/4/10_431/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed