Stabilization of a class of switched dynamic systems: the Riccati-equation-based Approach

Autor: Moises Bonilla, V Azhmyakov, Sergio Salazar, N A Aguillón, M.A. Ortiz Castillo, Jean Jacques Loiseau, Michel Malabre

Publikováno v: IMA Journal of Mathematical Control and Information
IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2021, ⟨10.1093/imamci/dnab022⟩
IMA Journal of Mathematical Control and Information, 2022, 39 (2), pp.518-532. ⟨10.1093/imamci/dnab022⟩

Our paper deals with the stabilization of a class of time-dependent linear autonomous complex systems with a switched structure. The initially given switched dynamic system is assumed to be controlled by a specific state feedback strategy associated

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dad6c3b669f7d93395b07f3ae168b6fd
https://doi.org/10.1093/imamci/dnab022

On the LQ Based Stabilization for a Class of Switched Dynamic Systems

Autor: Vadim Azhmyakov, Jean Jacques Loiseau, Michel Malabre, Moises Bonilla, M.A. Ortiz Castillo

Publikováno v: 21st IFAC World Congress (IFAC 2020)
21st IFAC World Congress (IFAC 2020), Jul 2020, Berlin, Germany

International audience; This paper deals with the stabilization of a class of time-dependent linear autonomous systems with a switched structure. For this aim, the switched dynamic system is modeled by means of an implicit representation combined wit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e49b73f76efc0c70941a64b7c9cc54bb
https://hal.archives-ouvertes.fr/hal-03015017/document

Linearization by means of Linear Implicit Rectangular Descriptions

Autor: Vadim Azhmyakov, Moises Bonilla, Michel Malabre

Publikováno v: 20th IFAC World Congress
20th IFAC World Congress, Jul 2017, Toulouse, France

This paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5441e0ffbce452990079b17afe91e342
https://doi.org/10.1016/j.ifacol.2017.08.2361

Advances of Implicit Description Techniques in Modelling and Control of Switched Systems

Autor: Michel Malabre, Moisés Bonilla Estrada, Vadim Azhmyakov

Publikováno v: Structural Methods in the Study of Complex Systems
Elena Zattoni; Anna Maria Perdon; Guiseppe Conte. Structural Methods in the Study of Complex Systems, 482, Springer, pp.203-239, 2019, Lecture Notes in Control and Information Sciences, 978-3-030-18571-8. ⟨10.1007/978-3-030-18572-5_7⟩
Structural Methods in the Study of Complex Systems ISBN: 9783030185718

International audience; Our contribution is devoted to a constructive overview over the implicit system approach in modern control of switched dynamic models. We study a class of non-stationary autonomous switched systems and formally establish the e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05dac5c479461f19e9a190b46971bade
https://hal.archives-ouvertes.fr/hal-02088014

On the descriptor variable observation of rectangular implicit representations, in the presence of column minimal indices blocks

Autor: Juan Carlos Martínez-García, Michel Malabre, Moises Bonilla

Publikováno v: IMA Journal of Mathematical Control and Information
IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2017, ⟨10.1093/imamci/dnx020⟩

International audience; Recently, it has been shown that implicit rectangular descriptions can be successfully used for modelling and controlling broad classes of linear systems, including systems with internal switches (i.e., variable structure line

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::768513dc287cd1d702088b1520d5e5b8
https://hal.archives-ouvertes.fr/hal-01708765