Scholarlink

In this chapter, we propose a novel Nussbaum-type design to cope with the problem in nonlinear dynamical systems with unknown control directions. First, a Nussbaum-based Lyapunov analysis for fixed-time stability is investigated to lay the theoretical foundation. On this basis, the Nussbaum-type adaptive backstepping control is designed with dynamic surface filters to avoid repeated differentiation. With the above design schemes, the practical fixed-time stability of the overall feedback systems can be guaranteed with theoretical discussion. Finally, the feasibility of the presented design is validated by simulation example made in the end.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Adaptive Fixed-Time Nussbaum Design for Deterministic Nonlinear Systems

  • 章节

  • 发表日期：

    2026年

查看全文
  • Yongliang Yang,
  • Guilong Liu,
  • Qing Li

摘要

In this chapter, we propose a novel Nussbaum-type design to cope with the problem in nonlinear dynamical systems with unknown control directions. First, a Nussbaum-based Lyapunov analysis for fixed-time stability is investigated to lay the theoretical foundation. On this basis, the Nussbaum-type adaptive backstepping control is designed with dynamic surface filters to avoid repeated differentiation. With the above design schemes, the practical fixed-time stability of the overall feedback systems can be guaranteed with theoretical discussion. Finally, the feasibility of the presented design is validated by simulation example made in the end.