Algebraic switching time identification for a class of linear hybrid systems

In this paper, a method for the finite time estimation of the switching times in linear switched systems is proposed. The approach is based on algebraic tools (differential algebra, module theory and operational calculus) and distribution theory. Switching time estimates are given by explicit algebraic formulae that can be implemented in a straightforward manner using standard tools from computational mathematics. Simulations illustrate the proposed techniques.

Keywords

Linear systems Switched systems Switching time estimation Distribution theory

Domains

Automatic Control Engineering

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https://inria.hal.science/inria-00424440

Submitted on : Thursday, October 15, 2009-5:29:55 PM

Last modification on : Wednesday, January 24, 2024-9:54:21 AM

Long-term archiving on: Wednesday, June 16, 2010-12:48:09 AM

Dates and versions

inria-00424440 , version 1 (15-10-2009)

Identifiers

HAL Id : inria-00424440 , version 1
DOI : 10.1016/j.nahs.2010.07.003

Cite

Yang Tian, Thierry Floquet, Lotfi Belkoura, Wilfrid Perruquetti. Algebraic switching time identification for a class of linear hybrid systems. ADHS'09 - IFAC Conference on Analysis and Design of Hybrid Systems, Sep 2009, Saragosse, Spain. ⟨10.1016/j.nahs.2010.07.003⟩. ⟨inria-00424440⟩

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