Výsledky vyhledávání - "Pierre Apkarian"

Boundary feedback control of an anti-stable wave equation

Publikováno v: IMA Journal of Mathematical Control and Information
IMA Journal of Mathematical Control and Information, 2020, 37 (4), pp.1367-1399. ⟨10.1093/imamci/dnaa017⟩
IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2020, 37 (4), pp.1367-1399. ⟨10.1093/imamci/dnaa017⟩

We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially in closed l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce2f9255c2959016d125e817147d6d00
https://doi.org/10.1093/imamci/dnaa017

Zobrazit plný text záznamu

Parameterized bilinear matrix inequality techniques for gain‐scheduling proportional integral derivative control design

Autor: Hoang Duong Tuan, Ye Shi, Pierre Apkarian

Publikováno v: International Journal of Robust and Nonlinear Control
International Journal of Robust and Nonlinear Control, Wiley, 2020, 30 (10), pp.3886-3905. ⟨10.1002/rnc.4979⟩

International audience; Proportional-integral-derivative (PID) structured controller is the most popular class of industrial control but still could not be appropriately exploited in gain-scheduling control systems. To gain the practicability and tra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdb75ffbc197023954f7fa484d3f94ac
https://hal.archives-ouvertes.fr/hal-03218260

Zobrazit plný text záznamu

Optimizing the Kreiss Constant

Autor: Pierre Apkarian, Dominikus Noll

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2020, 58 (6), pp.3342-3362. ⟨10.1137/19M1296215⟩

The Kreiss constant $K(A)$ of a stable matrix $A$ conveys information about the transient behavior of system trajectories in response to initial conditions. We present an efficient way to compute the Kreiss constant $K(A)$, and we show how feedback c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::060d716beebec595281afae561b9a36c
http://hdl.handle.net/20.500.12278/37650

Zobrazit plný text záznamu

Boundary control of partial differential equations using frequency domain optimization techniques

Autor: Pierre Apkarian, Dominikus Noll

Publikováno v: Systems & Control Letters
Systems & Control Letters, 2020, 135 (104577), pp.1-12. ⟨10.1016/j.sysconle.2019.104577⟩

International audience; We present a frequency domain based H ∞-control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, where controllers are constrained to be physically im

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26ecad953b1de5f93bc007fe9b3b6f50
https://hal.archives-ouvertes.fr/hal-02475721/document

Zobrazit plný text záznamu

Détermination de matrice semblable Metzler par optimisation non lisse

Autor: Emmanuel Chambon, Laurent Burlion, Pierre Apkarian

Publikováno v: Journal Européen des Systèmes Automatisés (JESA)
Journal Européen des Systèmes Automatisés (JESA), Lavoisier, 2017, 50 (1-2), pp.75-94. ⟨10.3166/jesa.50.75-94⟩

International audience; The theory of interval observers requires the studied system to be cooperative. In the case of non-cooperative systems, the literature proposes to compute a state-coordinate change such that the dynamics is cooperative in the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0d6a975d45dd66378ac7cfd86a4fed5
https://doi.org/10.3166/jesa.50.75-94

Zobrazit plný text záznamu

Worst-case stability and performance with mixed parametric and dynamic uncertainties

Autor: Dominikus Noll, Pierre Apkarian

Publikováno v: International Journal of Robust and Nonlinear Control. 27:1284-1301

Summary This work deals with computing the worst-case stability and the worst-case H∞ performance of linear time-invariant systems subject to mixed real-parametric and complex-dynamic uncertainties in a compact parameter set. Our novel algorithmic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::30080999bc950f31596f3fc308ac3bc5
https://doi.org/10.1002/rnc.3628

Zobrazit plný text záznamu

Overview of linear time‐invariant interval observer design: towards a non‐smooth optimisation‐based approach

Autor: Laurent Burlion, Pierre Apkarian, Emmanuel Chambon

Publikováno v: IET Control Theory & Applications. 10:1258-1268

Some applications in control require the state vector of a system to be expressed in the appropriate coordinates so as to satisfy to some mathematical properties which constrain the studied system dynamics. This is the case with the theory of linear

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::831cbe076c1f949ea5f510ff680808c5
https://doi.org/10.1049/iet-cta.2015.0742

Zobrazit plný text záznamu

Structured Robust Control Against Mixed Uncertainty

Autor: Raquel Stella da Silva de Aguiar, Dominikus Noll, Pierre Apkarian

Publikováno v: IEEE Transactions on Control Systems Technology
IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, 2018, 26 (5), pp.1771-1781. ⟨10.1109/TCST.2017.2723864⟩
IEEE Transactions on Control Systems Technology, 2018, 26 (5), pp.1771-1781. ⟨10.1109/TCST.2017.2723864⟩

International audience; We present new approaches to designing structured controllers, which are robust in the presence of mixed real parametric and complex dynamic uncertainty. As the synthesis of such controllers is inherently NP-hard, we discuss i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18d7088742b88d5e2734c8c9db1ff3fd
https://hal.archives-ouvertes.fr/hal-01868483

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání