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Wyświetlanie 1-15 z 140
Tytuł:
Controllability of Nonlinear Discrete Systems
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/907994.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
nonlinear systems
discrete systems
2D systems
controllability
nonlinear covering operators
Opis:
Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 173-180
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Active fault tolerant control of nonlinear systems: the cart-pole example
Autorzy:
Bonfe, M.
Castaldi, P.
Mimmo, N.
Simani, S.
Powiązania:
https://bibliotekanauki.pl/articles/907604.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
detekcja uszkodzeń
lokalizacja uszkodzeń
filtracja nieliniowa
sterowanie tolerujące uszkodzenia
fault detection
fault isolation
nonlinear filter
nonlinear geometric approach
fault tolerant control
cart pole nonlinear model
Opis:
This paper describes the design of fault diagnosis and active fault tolerant control schemes that can be developed for nonlinear systems. The methodology is based on a fault detection and diagnosis procedure relying on adaptive filters designed via the nonlinear geometric approach, which allows obtaining the disturbance de-coupling property. The controller reconfiguration exploits directly the on-line estimate of the fault signal. The classical model of an inverted pendulum on a cart is considered as an application example, in order to highlight the complete design procedure, including the mathematical aspects of the nonlinear disturbance de-coupling method based on the nonlinear differential geometry, as well as the feasibility and efficiency of the proposed approach. Extensive simulations of the benchmark process and Monte Carlo analysis are practical tools for assessing experimentally the robustness and stability properties of the developed fault tolerant control scheme, in the presence of modelling and measurement errors. The fault tolerant control method is also compared with a different approach relying on sliding mode control, in order to evaluate benefits and drawbacks of both techniques. This comparison highlights that the proposed design methodology can constitute a reliable and robust approach for application to real nonlinear processes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 441-455
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neural Network-Based Narx Models in Non-Linear Adaptive Control
Autorzy:
Dzieliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/907986.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
neural networks
adaptive control
nonlinear systems
Opis:
The applicability of approximate NARX models of non-linear dynamic systems is discussed. The models are obtained by a new version of Fourier analysis-based neural network also described in the paper. This constitutes a reformulation of a known method in a recursive manner, i.e. adapted to account for incoming data on-line. The method allows us to obtain an approximate model of the non-linear system. The estimation of the influence of the modelling error on the discrepancy between the model and real system outputs is given. Possible applications of this approach to the design of BIBO stable closed-loop control are proposed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 235-240
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Feedback Stabilization of Continuous Systems by Adding an Integrator
Autorzy:
Outbib, R.
Aggoune, W.
Powiązania:
https://bibliotekanauki.pl/articles/908264.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
feedback stabilization
nonlinear systems
continuous systems
Lyapunov function
Opis:
This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 871-881
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sub-Optimal Nonlinear Predictive and Adaptive Control Based on the Parametric Volterra Model
Autorzy:
Haber, R.
Bars, R.
Lengyel, O.
Powiązania:
https://bibliotekanauki.pl/articles/908307.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
sterowanie nieliniowe
sterowanie optymalne
układ nieliniowy
adaptacyjny układ sterowania
predictive control
nonlinear control
optimal control
nonlinear systems
adaptive control
Opis:
Predictive control algorithms have been worked out mainly to control linear plants. There is a great demand to apply different control ideas to nonlinear systems. Using predictive control algorithms for nonlinear systems is a promising technique. Extended horizon one-step-ahead and long-range optimal predictive control algorithms are given here for the parametric Volterra model (which includes also the generalized Hammerstein model). A quadratic cost function is minimized which considers the quadratic deviations of the reference signal and the output signal at a future point (or points) beyond the dead time and also penalizes large control signal increments. For prediction of the output signal, a predictive model is applied which uses information about the input and output signals up to the current time. A predictive transformation of the nonlinear dynamic model is given. The incremental model is advantageous since the cost function contains the control increment and not the control signal itself. An incremental transformation of the predictive forms is also described. Sub-optimal solutions to the optimal control algorithms are discussed with different assumptions for the control signal during the control horizon. The effect of the different strategies and the effect of the tuning parameters is investigated through simulation examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 161-173
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A nonlinear model of a turbine blade by asymptotic analysis
Autorzy:
Rodriguez, J. M.
Powiązania:
https://bibliotekanauki.pl/articles/907896.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
asymptotic analysis
nonlinear elasticity
junctions
shallow shells
multistructures
Opis:
In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 101-113
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of the Zakai Equation in a Nonlinear Filtering Problem With Delay
Autorzy:
Twardowska, K.
Marnik, T.
Pasławska-Południak, M.
Powiązania:
https://bibliotekanauki.pl/articles/908197.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stochastic differential equations with delay
Zakai's equation
nonlinear filtering
matematyka
Opis:
A nonlinear filtering problem with delays in the state and observation equations is considered. The unnormalized conditional probability density of the filtered diffusion process satisfies the so-called Zakai equation and solves the nonlinear filtering problem. We examine the solution of the Zakai equation using an approximation result. Our theoretical deliberations are illustrated by a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 151-160
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive control scheme based on the least squares support vector machine network
Autorzy:
Mahmoud, T. K.
Powiązania:
https://bibliotekanauki.pl/articles/930155.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
modelowanie systemu
system nieliniowy
system sterowania
sieć neuronowa
maszyna wektorów wspierających
support vector machine (SVM)
neural network
nonlinear system modeling
nonlinear system control
pH control
Opis:
Recently, a new type of neural networks called Least Squares Support Vector Machines (LS-SVMs) has been receiving increasing attention in nonlinear system identification and control due to its generalization performance. This paper develops a stable adaptive control scheme using the LS-SVM network. The developed control scheme includes two parts: the identification part that uses a modified structure of LS-SVM neural networks called the multi-resolution wavelet least squares support vector machine network (MRWLS-SVM) as a predictor model, and the controller part that is developed to track a reference trajectory. By means of the Lyapunov stability criterion, stability analysis for the tracking errors is performed. Finally, simulation studies are performed to demonstrate the capability of the developed approach in controlling a pH process.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 685-696
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Acoustic analysis assessment in speech pathology detection
Autorzy:
Panek, D.
Skalski, A.
Gajda, J.
Tadeusiewicz, R.
Powiązania:
https://bibliotekanauki.pl/articles/329710.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear PCA
nonlinear PCA
autoassociative neural network
validation
voice pathology detection
Opis:
Automatic detection of voice pathologies enables non-invasive, low cost and objective assessments of the presence of disorders, as well as accelerating and improving the process of diagnosis and clinical treatment given to patients. In this work, a vector made up of 28 acoustic parameters is evaluated using principal component analysis (PCA), kernel principal component analysis (kPCA) and an auto-associative neural network (NLPCA) in four kinds of pathology detection (hyperfunctional dysphonia, functional dysphonia, laryngitis, vocal cord paralysis) using the a, i and u vowels, spoken at a high, low and normal pitch. The results indicate that the kPCA and NLPCA methods can be considered a step towards pathology detection of the vocal folds. The results show that such an approach provides acceptable results for this purpose, with the best efficiency levels of around 100%. The study brings the most commonly used approaches to speech signal processing together and leads to a comparison of the machine learning methods determining the health status of the patient.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 631-643
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of an Isope-Type Dual Algorithm for Optimizing Control and Nonlinear Optimization
Autorzy:
Tadej, W.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/908338.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja nieliniowa
sterowanie optymalizujące
nonlinear optimization
optimizing control
duality
condition number
Opis:
First results concerning important theoretical properties of the dual ISOPE (Integrated System Optimization and Parameter Estimation) algorithm are presented. The algorithm applies to on-line set-point optimization in control structures with uncertainty in process models and disturbance estimates, as well as to difficult nonlinear constrained optimization problems. Properties of the conditioned (dualized) set of problem constraints are investigated, showing its structure and feasibility properties important for applications. Convergence conditions for a simplified version of the algorithm are derived, indicating a practically important threshold value of the right-hand side of the conditioning constraint. Results of simulations are given confirming the theoretical results and illustrating properties of the algorithms.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 429-457
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical studies of nonlinear gearing models using bond graph method
Autorzy:
Margielewicz, J.
Wojnarowski, J.
Zawiślak, S.
Powiązania:
https://bibliotekanauki.pl/articles/264969.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
chaos
wibracje nieliniowe
wykładnik Lapunowa
rozwidlenia
nonlinear vibrations
Lapunov exponent
bifurcations
Opis:
The present paper is dedicated to computer simulations performed using a numerical model of a one-stage gear. The motion equations were derived utilizing the bond graph method. The formulated model takes into consideration the variable stiffness of toothings as well as an inter-tooth clearance which has been represented via discontinuous elements with so called dead zones. As a result of these assumptions, the nonlinear model was obtained which enables representation of the dynamic phenomena of the considered gear. In the paper, an influence of errors of gear wheels’ co-operation on the character of excited dynamic phenomena was studied. The methodology of the analyses consists in utilization of the following tools: color maps of distribution of the maximal Lapunov coefficient and bifurcation diagrams. Based upon them, the parameters were determined, for which the Poincare portrait represents a structure of the chaotic attractor. For the identified attractors, the initial attractors were calculated numerically - which along with the changes of the control parameters are subjected to multiplication, stretching or rotation.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 4; 885-896
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparative and experimental study on gradient and genetic optimization algorithms for parameter identification of linear MIMO models of a drilling vessel
Autorzy:
Bańka, S.
Brasel, M.
Dworak, P.
Jaroszewski, K.
Powiązania:
https://bibliotekanauki.pl/articles/329756.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
MIMO dynamic plant
identification
nonlinear system
system MIMO
identyfikacja parametryczna
układ nieliniowy
Opis:
The paper presents algorithms for parameter identification of linear vessel models being in force for the current operating point of a ship. Advantages and disadvantages of gradient and genetic algorithms in identifying the model parameters are discussed. The study is supported by presentation of identification results for a nonlinear model of a drilling vessel.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 877-893
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimation for miso non-linear systems in controller canonical form
Autorzy:
Schwaller, B.
Ensminger, D.
Dresp-Langley, B.
Ragot, J.
Powiązania:
https://bibliotekanauki.pl/articles/331350.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonlinear system
state observer
continuous time
układ nieliniowy
obserwator stanu
układ ciągły
Opis:
We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 569-583
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of a class of adaptive nonlinear systems
Autorzy:
Dzieliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/908445.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
stabilność Lapunova
układ adaptacyjny
nonlinear systems
Lyapunov stability
adaptive systems
Opis:
This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear systems is investigated and it is shown how the problem of model following control may be tackled using this methodology.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 455-462
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of thin periodic plates subjected to large deflections
Modelowanie cienkich płyt periodycznych o dużych ugięciach
Autorzy:
Domagalski, Ł.
Jędrysiak, J.
Powiązania:
https://bibliotekanauki.pl/articles/395941.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyty periodyczne
zginanie nieliniowe
modelowanie tolerancyjne
periodic plates
nonlinear bending
tolerance modelling
Opis:
The objects under consideration are thin linear-elastic plates with periodic structure in planes parallel to the plate midplane, subjected to large (of the order of plate thickness) deflections. The main aim is to propose a mathematical model describing geometrically nonlinear problems of such plates, which is based on the tolerance averaging technique, cf. Woźniak et al. [3]. Results calculated for a special static problem by the tolerance model are compared with results obtained within the known tolerance linear model of thin plates.
W pracy rozpatrywane są cienkie, liniowo-sprężyste płyty o budowie periodycznej w płaszczyznach równoległych do płaszczyzny środkowej. Zagadnienia statyki i dynamiki tego rodzaju płyt w zakresie dużych ugięć opisane są układem równań różniczkowych nieliniowych o silnie oscylujących, periodycznych, nieciągłych współczynnikach (por. książka pod red. Woźniaka i in. [3]). W celu otrzymania równań o stałych współczynnikach zastosowano tu technikę tolerancyjnego uśredniania, omówioną w książce pod red. Woźniaka, Michalaka i Jędrysiaka [5]. Zaproponowano nieliniowy model tolerancyjny, opisujący nieliniowo-geometryczne zagadnienia cienkich płyt periodycznych. Model ten zastosowano do wyznaczenia ugięć dla danego obciążenia, a otrzymane wyniki porównano z wynikami uzyskanymi w ramach liniowego modelu tolerancyjnego.
Źródło:
Civil and Environmental Engineering Reports; 2010, 5; 133-148
2080-5187
2450-8594
Pojawia się w:
Civil and Environmental Engineering Reports
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 140

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