Autor: Lhous, Mustapha - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the minimum energy compensation for linear time-varying disturbed systems
Autorzy:: Magri, El Mostafa
Amissi, Chadi
Afifi, Larbi
Lhous, Mustapha
Powiązania:: https://bibliotekanauki.pl/articles/2175118.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: dynamical systems
remediability
observation
optimal control
disturbance
Opis:: We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability. A general approach was given to minimize the linear quadratic problem. Examples and numerical simulations are given.
Źródło:: Archives of Control Sciences; 2022, 32, 4; 733--754
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: An output sensitivity problem for a class of linear distributed systems with uncertain initial state
Autorzy:: Larrache, Abdelilah
Lhous, Mustapha
Rhila, Soukina Ben
Rachik, Mostafa
Tridane, Abdessamad
Powiązania:: https://bibliotekanauki.pl/articles/229238.pdf
Data publikacji:: 2020
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: linear system
distributed system
uncertain initial state
gain operators
observability
stability
linear programming
Opis:: In this paper,we consider an infinite dimensional linear systems. It is assumed that the initial state of system is not known throughout all the domain Ω C Rⁿ, the initial state x₀ ϵ L²(Ω) is supposed known on one part of the domain Ω and uncertain on the rest. That means Ω = ω₁ U ω₂ U... U ω_t with ω_i ∩ ω_j = ∅, ∀_i ≠ j ϵ {1,...,t}, i ≠ j where ω_i ≠ ∅ and x₀(θ) = α_i for θ ϵ ω_i, ∀_i, i.e., x₀(θ) = [wzór] (θ) where the values α₁,...,α_r are supposed known and α_r+1,...,α_t unknown and 1ω_i is the indicator function. The uncertain part (α₁,...,(α)_rof the initial state x₀ is said to be (ɛ₁,...,ɛ_r )-admissible if the sensitivity of corresponding output signal (y_i)_i≥0 relatively to uncertainties (α_k)_1≤k≤r is less to the treshold ɛ_k, i.e., ∥∂y_i)/(∂α_k∥ ≤ ɛ_k, ∀_i≥ 0, ∀_k ϵ {1,...,r]. The main goal of this paper is to determine the set of all possible gain operators that makes the system insensitive to all uncertainties. The characterization of this set is investigated and an algorithmic determination of each gain operators is presented. Some examples are given.
Źródło:: Archives of Control Sciences; 2020, 30, 1; 139-155
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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