Sunday , October 1 2023

Algebraic State Estimation for a Class of Switched Linear Systems

Yang TIAN1, Chengcheng SONG1, Wilfrid PERRUQUETTI2
1 Sino-French Joint Laboratory of Automation and Signal Processing, Automation School of Nanjing University of Science and Technology (NUST)
Nanjing, 210094, China
2 LAGIS (CNRS, UMR 8219), Ecole Centrale de Lille (ECL),
Villeneuve d’Ascq, 59650, France & Equipe Projet Non-A,
INRIA Lille-Nord Europe

Abstract: In this paper, an algebraic state estimation method for a class of switched linear systems is derived. This approach is based on algebraic tools and distribution theory. Firstly, the unknown switching instant and the active mode are identified on-line, and then the process of state estimation is given by an explicit algebraic formula, rather than by an auxiliary dynamic system, which can be implemented formally and estimated very fast in computer. Numerical example and Simulations illustrate the efficiency of the proposed techniques.

Keywords: Algebraic approach, State estimation, Switching instants identification, Switched linear systems.

>>Full text
Yang TIAN, Chengcheng SONG, Wilfrid PERRUQUETTI, Algebraic State Estimation for a Class of Switched Linear Systems, Studies in Informatics and Control, ISSN 1220-1766, vol. 23 (2), pp. 207-214, 2014.