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Wyświetlanie 1-15 z 56
Tytuł:
Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model
Autorzy:
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/229234.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
asymptotic stability
practical stability
fractional order
discrete-time linear system
Opis:
The stability problems of fractional discrete-time linear scalar systems described by the new model are considered. Using the classical D-partition method, the necessary and sufficient conditions for practical stability and asymptotic stability are given. The considerations are il-lustrated by numerical examples.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 441-452
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust switched controller design for linear continuous-time systems
Autorzy:
Ilka, A.
Veselý, P.
Powiązania:
https://bibliotekanauki.pl/articles/229858.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
switched system
robust controller
output feedback
quadratic stability
multi parameter dependent quadratic stability
Opis:
In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.
Źródło:
Archives of Control Sciences; 2015, 25, 4; 401-416
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of fractional positive nonlinear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229929.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
fractional
nonlinear
system
stability
Opis:
The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear systems.
Źródło:
Archives of Control Sciences; 2015, 25, 4; 491-496
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of a certain class of fuzzy control systems with uncertainties
Autorzy:
Taieb, N. H.
Hammami, M. A.
Delmotte, F.
Powiązania:
https://bibliotekanauki.pl/articles/229196.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Takagi-Sugeno fuzzy systems
PDC controller
global uniform practical exponential stability
Lyapunov stability
parametric uncertainty
Opis:
In this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential convergence toward a neighborhood of the origin. Therefore, we use common quadratic Lyapunov function (CQLF) and parallel distributed compensation (PDC) controller techniques to show the global uniform practical exponential stability of the closed-loop system. Numeric simulations are given to validate the proposed approach.
Źródło:
Archives of Control Sciences; 2017, 27, 3; 453-481
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An exponential observer and a controller for a class of nonlinear systems
Autorzy:
Hammami, M. A.
Zribi, M
Kallel, J
Powiązania:
https://bibliotekanauki.pl/articles/229713.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear system
observer
stability
controller
stabilization
Opis:
In this paper, we study the observer design problem for a class of nonlinear systems. Specifically, we design an exponential observer for a separately excited DC motor. Moreover, a stabilizing controller is designed for the system to ensure the exponential stability of the solutions toward their desired values. Simulations results show that proposed observer is able to reconstruct the states of the system. In addition, the simulation results indicate that the designed controller works well.
Źródło:
Archives of Control Sciences; 2013, 23, 1; 79-92
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exponential stability of nonlinear neutral type systems
Autorzy:
Gil, M.
Powiązania:
https://bibliotekanauki.pl/articles/229764.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
neutral type systems
nonlinear systems
stability
Opis:
Nonlinear neutral type systems with distributed and discrete delays are considered. Explicit exponential stability conditions are established. The main tool is a combined usage of the recent norm estimates for the matrix resolvents, the Urysohn theorem and estimates for fundamental solutions of the linear parts.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 125-143
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of discrete-time fractional linear systems with delays
Autorzy:
Ruszewski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/229245.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional
discrete-time
stability
time-delay
Opis:
The stability analysis for discrete-time fractional linear systems with delays is presented. The state-space model with a time shift in the difference is considered. Necessary and sufficient conditions for practical stability and for asymptotic stability have been established. The systems with only one matrix occurring in the state equation at a delayed moment have been also considered. In this case analytical conditions for asymptotic stability have been given. Moreover parametric descriptions of the boundary of practical stability and asymptotic stability regions have been presented.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 549-567
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of continuous-discrete linear systems with delays in state vector
Autorzy:
Kaczorek, T.
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/229444.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stability
positivity
continuous-discrete
delays
state vector
Opis:
A new class of positive continuous-discrete linear systems with delays in state vector described by the model based on 2D general model is addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of this class of linear systems are established. A procedure for checking the asymptotic stability is proposed. The effectiveness of the procedure is demonstrated on a numerical example.
Źródło:
Archives of Control Sciences; 2011, 21, 1; 25-36
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new strongly predefined time sliding mode controller for a class of cascade high-order nonlinear systems
Autorzy:
Abadi, Ali Soltani Sharif
Hosseinabadi, Pooyan Alinaghi
Mekhilef, Saad
Ordys, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/229682.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
predefined time
stability
sliding mode
trajectory
synchronization
Opis:
Many real-time systems can be described as cascade space-state models of different orders. In this paper, a new predefined controller is designed using a Strongly Predefined Time Sliding Mode Control (SPSMC) scheme for a cascade high-order nonlinear system. The proposed control scheme based-on SMC methodology is designed such that the system states reach zero within a determined time prior to performing numerical simulation. Moreover, Fixed Time Sliding Mode Control (FSMC) and Terminal Sliding Mode Control (TSMC) schemes are presented and simulated to provide a comparison with the proposed predefined time scheme. The numerical simulation is performed in Simulink/MATLAB for the proposed SPSMC and the other two existing methods on two examples: second and of third order to demonstrate the effectiveness of the proposed SPSMC method. The trajectory tracking of the ship course system is addressed a san example of a second-order system. Synchronization of two chaotic systems, Genesio Tesi and Coullet, is considered as an example of a third-order system. Also, by using two performance criteria, a thorough comparison is made between the proposed predefined time scheme, SPSMC, and the two no predefined time schemes, FSMC and TSMC.
Źródło:
Archives of Control Sciences; 2020, 30, 3; 599-620
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An observer-based control of linear systems with uncertain parameters
Autorzy:
Rachik, M.
Lhous, M.
Powiązania:
https://bibliotekanauki.pl/articles/229793.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
observer-based control
stability
uncertain linear systems
Opis:
In this paper, the observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for the system is studied and reduced-order observer is discussed. Numerical examples are given to illustrate obtained results.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 565-576
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A formula for the lower Bohl exponent of discrete time-varying systems
Autorzy:
Czornik, Adam
Simek, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/27312015.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
time-varying systems
asymptotic stability
Bohl exponent
Opis:
In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.
Źródło:
Archives of Control Sciences; 2023, 33, 2; 413--424
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lagrange and practical stability criteria for dynamical systems with nonlinear perturbations
Autorzy:
Krumov, A. V.
Powiązania:
https://bibliotekanauki.pl/articles/229787.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Lagrange
stability criteria
dynamical systems
nonlinear perturbation
Opis:
In the paper two classes of nonlinear dynamical system with perturbations are considered. The sufficient conditions for robust Lagrange and practical stability are proven with theorems, applying the theory of nonlinear operators of the functional analysis. The presented criteria give also the bounds of the analyzed dynamical processes. Three examples comparing the numerical computer solutions and the analytical investigation of the stability of the systems are given. The method can be applied to analytical and computer modeling of nonlinear dynamical systems, synthesis of computer control and optimization.
Źródło:
Archives of Control Sciences; 2012, 22, 1; 43-58
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear response of a harmonically driven oscillator in magnetic field
Autorzy:
Przybyłowicz, P.
Szmidt, T.
Powiązania:
https://bibliotekanauki.pl/articles/229889.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear vibrations
oscillator
chaos
stability
magnetic damping
Opis:
The paper presents analysis of nonlinear response of a classical mechanical oscillator placed within a magnetic field and driven by a harmonic force. With an appropriate choice of control parameters, the system vibrates chaotically between different equilibrium positions. To prove this result, Lyapunov exponents have been calculated using the algorithm proposed by Rangarajan G., Habib S. and Ryne R.: Physical Review Letters, vol. 80, (1998). Moreover, the appropriate time series, phase portrait, Poincar'e cross-section and power spectrum are given to support the conclusion.
Źródło:
Archives of Control Sciences; 2010, 20, 1; 19-30
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An observer design for Takagi-Sugeno fuzzy bilinear control systems
Autorzy:
Delmotte, François
Hadj Taieb, Nizar
Hammami, Mohamed Ali
Meghnafi, Houria
Powiązania:
https://bibliotekanauki.pl/articles/27314670.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
fuzzy systems
bilinear systems
stability analysis
observer design
Opis:
In this paper, the observer design problem for a T-S fuzzy bilinear control system is investigated. First, an observer of Kalman type is designed to estimate the system states for the linear case. Then, some new sufficient conditions are derived to show the exponential convergence of the solutions of the error equation for fuzzy bilinear systems. Furthermore, we consider some uncertainties of the system that are bounded and satisfy a certain condition where an observer is designed. Moreover, an application to Van de Vusse system is given.
Źródło:
Archives of Control Sciences; 2023, 33, 3; 631--649
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global stability of discrete-time nonlinear systems with descriptor standard and fractional positive linear parts and scalar feedbacks
Autorzy:
Kaczorek, T.
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/1403681.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stability
fractional
positive
nonlinear
discrete-time
feedback
system
Opis:
The global stability of discrete-time nonlinear systems with descriptor positive linear parts and positive scalar feedbacks is addressed. Sufficient conditions for the global stability of standard and fractional nonlinear systems are established. The effectiveness of these conditions is illustrated on numerical examples.
Źródło:
Archives of Control Sciences; 2020, 30, 4; 667-681
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 56

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