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Wyświetlanie 1-15 z 127
Tytuł:
On Modelling of Nonlinear Systems and Phenomena with the Use of Volterra and Wiener Series
Autorzy:
Borys, A.
Powiązania:
https://bibliotekanauki.pl/articles/116165.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
Methods and Algorithms
nonlinear systems
Wiener Series
Modelling of Nonlinear Systems
Volterra Series
Discrete-Time Nonlinear Systems
Volterra Theory
Opis:
This is a short tutorial on Volterra and Wiener series applications to modelling of nonlinear systems and phenomena, and also a survey of the recent achievements in this area. In particular, we show here how the philosophies standing behind each of the above theories differ from each other. On the other hand, we discuss also mathematical relationships between Volterra and Wiener kernels and operators. Also, the problem of a best approximation of large-scale nonlinear systems using Volterra operators in weighted Fock spaces is described. Examples of applications considered are the following: Volterra series use in description of nonlinear distortions in satellite systems and their equalization or compensation, exploiting Wiener kernels to modelling of biological systems, the use of both Volterra and Wiener theories in description of ocean waves and in magnetic resonance spectroscopy. Moreover, connections between Volterra series and neural network models, and also input-output descriptions of quantum systems by Volterra series are discussed. Finally, we consider application of Volterra series to solving some nonlinear problems occurring in hydrology, navigation, and transportation.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2015, 9, 1; 91-98
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
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:
Lie algebra approach in the study of the stability of stochastic linear hybrid systems
Metody Lie algebr w badaniu stabilności stochastycznych układów hybrydowych
Autorzy:
Seroka, E.
Socha, L.
Powiązania:
https://bibliotekanauki.pl/articles/280962.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
hybrid systems
nonlinear systems
asymptotic stability
Opis:
The problem of the stability of a class of stochastic linear hybrid systems with a special structure of matrices and a multiplicative excitation is considered. Sufficient conditions of the exponential p-th mean stability and the almost sure stability for a class of stochastic linear hybrid systems with the Markovian switching are derived. Also, sufficient conditions of the exponential mean-square stability for a class of stochastic linear hybrid systems satisfying the Lie algebra conditions with any switching are found. The obtained results are illustrated by examples and simulations.
W pracy rozważony został problem stabilności klasy liniowych stochastycznych układów hybrydowych ze szczególną strukturą macierzy i multiplikatywnym szumem. Znalezione zostały warunki wystarczające dla eksponencjalnej p-średniej stabilności i eksponencjalnej stabilności prawie na pewno dla klasy stochastycznych liniowych układów hybrydowych z Markowskim przełączaniem. Dodatkowo podane zostały warunki wystarczające dla eksponencjalnej stabilności średnio-kwadratowej dla klasy stochastycznych liniowych układów hybrydowych z dowolnym przełączaniem spełniających warunki Lie algebry. Otrzymane wyniki zilustrowane zostały przykładami i symulacjami.
Źródło:
Journal of Theoretical and Applied Mechanics; 2011, 49, 1; 31-50
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
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:
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:
Avoidance of artifacts in harmonic balance solutions for nonlinear dynamical systems
Autorzy:
Lentz, Lukas
von Wagner, Utz
Powiązania:
https://bibliotekanauki.pl/articles/1839629.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
nonlinear systems
harmonic balance
artifacts
Duffing oscillators
Opis:
Although nonlinear mechanical systems have been the topic of numerous investigations during the last decades, the research on suitable analysis methods is still ongoing. One method that is commonly known and still sees a lot of interest is the Harmonic Balance method. In the basic version of this method, only one harmonic is used to approximate a periodic solution, which allows for fairly easy application. A drawback is that this approach may lead to solutions that are inaccurate or even artifacts which are solutions that possess no physical relevance. In this article, it is demonstrated how an error criterion can be used to access the accuraccy of solutions and how artifacts can be indentified based on this assessment. Subsequently, stability analysis is performed for solutions that possess small errors. The method is applied to an asymmetric Duffing oscillator as well as to a system that consists of two linearly coupled Duffing oscillators. The authors gave a corresponding presentation of their work at PCM-CCM Kraków 2019.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 2; 307-316
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Efficient MPC algorithms with variable trajectories of parameters weighting predicted control errors
Autorzy:
Nebeluk, Robert
Marusak, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/230077.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
model predictive control
nonlinear systems
nonlinear models
nonlinear control
simulation
optimization
Opis:
Model predictive control (MPC) algorithms brought increase of the control system performance in many applications thanks to relatively easily solving issues that are hard to solve without these algorithms. The paper is focused on investigating how to further improve the control system performance using a trajectory of parameters weighting predicted control errors in the performance function of the optimization problem. Different shapes of trajectories are proposed and their influence on control systems is tested. Additionally, experiments checking the influence of disturbances and of modeling uncertainty on control system performance are conducted. The case studies were done in control systems of three control plants: a linear non-minimumphase plant, a nonlinear polymerization reactor and a nonlinear thin film evaporator. Three types of MPC algorithms were used during research: linear DMC, nonlinear DMC with successive linearization (NDMC–SL), nonlinear DMC with nonlinear prediction and linearization (NDMC–NPL). Results of conducted experiments are presented in greater detail for the control system of the polymerization reactor, whereas for the other two control systems only the most interesting results are presented, for the sake of brevity. The experiments in the control system of the linear plant were done as preliminary experiments with the modified optimization problem. In the case of control system of the thin film evaporator the researched mechanisms were used in the control system of a MIMO plant showing possibilities of improving the control system performance.
Źródło:
Archives of Control Sciences; 2020, 30, 2; 325-363
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control of Fractional-Order Nonlinear Systems: A Review
Autorzy:
Petráš, I.
Bednárová, D.
Powiązania:
https://bibliotekanauki.pl/articles/386576.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
sterowanie
systemy nielioniowe
przegląd
control
nonlinear systems
review
Opis:
This paper deals with the control of the fractional-order nonlinear systems. A list of the control strategies as well as synchronization of the chaotic systems is presented. An illustrative example of sliding mode control (SMC) of the fractional-order (commensurate and incommensurate) financial system is described and commented together with the simulation results.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 96-100
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Contraction Method approach to digital longitudinal aircraft flight controller design
Autorzy:
Czyba, Roman
Stajer, Lukasz
Powiązania:
https://bibliotekanauki.pl/articles/229293.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear systems
MIMO systems
aircraft control
digital controller
singular perturbation
Opis:
This paper presents the design of digital controller for longitudinal aircraft model basedon the Dynamic Contraction Method. The control task is formulated as a tracking problem of velocity and flight path angle, where decoupled output transients are accomplished in spite of incomplete information about varying parameters of the system and external disturbances. The design of digital controller based on the pseudo-continuous approach is presented, where the digital controller is the result of continuous-time controller discretization. A resulting output feedback controller has a simple form of a combination of low-order linear dynamical systems and a matrix whose entries depend nonlinearly on certain known process variables. Simulation results for an aircraft model confirm theoretical expectations.
Źródło:
Archives of Control Sciences; 2019, 29, 1; 97-109
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Realization of nonlinear composite systems
Autorzy:
Mullari, T.
Kotta, U.
Nomm, S.
Tonso, M.
Powiązania:
https://bibliotekanauki.pl/articles/969986.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonlinear control systems
realization
composite systems
Opis:
The paper studies the realization problem for series and parallel connections of nonlinear single-input single-output systems, described by higher order differential equations. Necessary and sufficient conditions are given for the existence of the classical state space realization in both cases. It is proved that post- and parallel compensators are of no help in overcoming non-realizability. Results are illustrated by an example.
Źródło:
Control and Cybernetics; 2006, 35, 4; 905-921
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Friction compensation in nonlinear dynamical systems using fault-tolerant control methods
Autorzy:
Bonfè, M.
Castaldi, P.
Preda, N.
Simani, S.
Powiązania:
https://bibliotekanauki.pl/articles/327170.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
fault-tolerant control
friction compensation
nonlinear systems
differential geometry
Opis:
This paper describes the application of differential geometry and nonlinear systems analysis to the estimation of friction effects in a class of mechanical systems. The proposed methodology relies on adaptive filters, designed with a nonlinear geometric approach to obtain the disturbance de-coupling property, for the estimation of the friction force. Thanks to accurate estimation, friction effects are compensated by injecting the on-line estimate of friction force to the control action calculated by a standard linear state feedback. The inverted pendulum on a cart is considered as an application example and the proposed approach is compared with a commonly used friction compensation strategy, based on an explicit model of the friction force.
Źródło:
Diagnostyka; 2013, 14, 4; 13-19
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A control algorithm applied to polarization states of light in the nonlinear optical resonator
Autorzy:
Wierzbicki, M.
Powiązania:
https://bibliotekanauki.pl/articles/206554.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
dwustabilność optyczna
układ nieliniowy
inverse modelling
nonlinear systems
optical bistability
Opis:
In this paper a control algorithm is presented for a nonlinear system defined by a nonlinear mapping F : R^n -> R^n of input states to output states of the system, for the problem of motion in the R^n space of output states along the given trajectory. The application of this algorithm in nonlinear optics is presented, for the control of light polarization transmitted through the Fabry-Perot resonator filled with a material with nonlinear optical properties. The calculated trajectory in the space of polarization states of output light leads to the phenomenon of optical bistability, i.e. sudden changes of output polarization induced by small variations of the input parameters, and the dependence of the current state of light polarization on the history of the system.
Źródło:
Control and Cybernetics; 2002, 31, 1; 129-139
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete Fractional Order Artificial Neural Network
Autorzy:
Sierociuk, D.
Sarwas, G.
Dzieliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/386578.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
sztuczne sieci neuronowe
systemy nieliniowe
artificial neural networks
nonlinear systems
Opis:
In this paper the discrete time fractional order artificial neural network is presented. This structure is proposed for simulating the dynamics of non-linear fractional order systems. In the second part of this paper several numerical examples are shown. The final part of the paper presents the discussion on the use of fractional or integer discrete time neural network for modelling and simulating fractional order non-linear systems. The simulation results show the advantages of the proposed solution over the classical (integer) neural network approach to modelling of non-linear fractional order systems.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 128-132
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimation based on Generalized Gaussian distributions
Autorzy:
Li, X.
Xie, Y.
Powiązania:
https://bibliotekanauki.pl/articles/220888.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Generalized Gaussian distributions
state estimation
Gaussian particle pilter
nonlinear systems
Opis:
This paper presents a novel strategy of particle filtering for state estimation based on Generalized Gaussian distributions (GGDs). The proposed strategy is implemented with the Gaussian particle pilter (GPF), which has been proved to be a powerful approach for state estimation of nonlinear systems with high accuracy and low computational cost. In our investigations, the distribution which gives the complete statistical characterization of the given data is obtained by exponent parameter estimation for GGDs, which has been solved by many methods. Based on GGDs, an extension of GPF is proposed and the simulation results show that the extension of GPF has higher estimation accuracy and nearly equal computational cost compared with the GPF which is based on Gaussian distribution assumption.
Źródło:
Metrology and Measurement Systems; 2013, 20, 1; 65-76
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 127

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