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Wyświetlanie 31-45 z 48
Tytuł:
Powerful nonlinear observer associated with field-oriented control of an induction motor
Autorzy:
Mansouri, A.
Chenafa, M.
Bouhenna, A.
Etien, E.
Powiązania:
https://bibliotekanauki.pl/articles/907397.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
silnik indukcyjny
obserwator nieliniowy
rezystancja wirnika
induction motor
field-oriented control
nonlinear observer
rotor resistance
Opis:
In this paper, we associate field-oriented control with a powerful nonlinear robust flux observer for an induction motor to show the improvement made by this observer compared with the open-loop and classical estimator used in this type of control. We implement this design strategy through an extension of a special class of nonlinear multivariable systems satisfying some regularity assumptions. We show by an extensive study that this observer is completely satisfactory at low and nominal speeds and it is not sensitive to disturbances and parametric errors. It is robust to changes in load torque, rotational speed and rotor resistance. The method achieves a good performance with only one easier gain tuning obtained from an algebraic Lyapunov equation. Finally, we present results and simulations with concluding remarks on the advantages and perspectives for the observer proposed with the field-oriented control.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 209-220
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilising solutions to a class of nonlinear optimal state tracking problems using radial basis function networks
Autorzy:
Ahmida, Z.
Charef, A.
Becerra, V. M.
Powiązania:
https://bibliotekanauki.pl/articles/908523.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
sterowanie optymalne
radialna funkcja bazowa
sieć neuronowa
regulacja predykcyjna
sterowanie wyprzedzające
nonlinear systems
optimal control
radial basis functions
neural networks
predictive control
feedforward control
Opis:
A controller architecture for nonlinear systems described by Gaussian RBF neural networks is proposed. The controller is a stabilising solution to a class of nonlinear optimal state tracking problems and consists of a combination of a state feedback stabilising regulator and a feedforward neuro-controller. The state feedback stabilising regulator is computed online by transforming the tracking problem into a more manageable regulation one, which is solved within the framework of a nonlinear predictive control strategy with guaranteed stability. The feedforward neuro-controller has been designed using the concept of inverse mapping. The proposed control scheme is demonstrated on a simulated single-link robotic manipulator.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 369-381
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics
Autorzy:
Rafajłowicz, E.
Styczeń, K.
Rafajłowicz, W.
Powiązania:
https://bibliotekanauki.pl/articles/331421.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
programowanie nieliniowe
sterowanie optymalne
równanie różniczkowe cząstkowe
filter approach
nonlinear programming
optimal control
partial differential equations
Opis:
Our aim is to adapt Fletcher's filter approach to solve optimal control problems for systems described by nonlinear Partial Differential Equations (PDEs) with state constraints. To this end, we propose a number of modifications of the filter approach, which are well suited for our purposes. Then, we discuss possible ways of cooperation between the filter method and a PDE solver, and one of them is selected and tested.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 313-326
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global Stability of Linearizing Control With a New Robust Nonlinear Observer of The Induction Motor
Autorzy:
Chenafa, M.
Mansouri, A.
Bouhenna, A.
Etien, E.
Belaidi, A.
Denai, M. A.
Powiązania:
https://bibliotekanauki.pl/articles/911129.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
obserwatory nieliniowe
sterowanie liniowe
silnik indukcyjny
stabilność globalna
nonlinear observer
linearizing control
induction motor
global stability
Opis:
This paper mainly deals with the design of an advanced control law with an observer for a special class of nonlinear systems. We design an observer with a gain as a function of speed. We study the solution to the output feedback torque and rotor flux-tracking problem for an induction motor model given in the natural frame. We propose a new robust nonlinear observer and prove the global stability of the interlaced controller-observer system. The control algorithm is studied through simulations and applied in many configurations (various set points, flux and speed profiles and torque disturbances), and is shown to be very efficient.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 235-243
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust flat filtering control of a two degrees of freedom helicopter subject to tail rotor disturbances
Autorzy:
Sánchez-Meza, Victor-Gabriel
Lozano-Hernández, Yair
Gutiérrez-Frías, Octavio
Lozada-Castillo, Norma
Luviano-Juárez, Alberto
Powiązania:
https://bibliotekanauki.pl/articles/24200696.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
flat filtering control
generalized proportional integral control
nonlinear system
tail rotor disturbance
two degrees of freedom helicopter
sterowanie całkujące
układ nieliniowy
zakłócenia wirnika
Opis:
This article deals with modelling and a flatness-based robust trajectory tracking scheme for a two degrees of freedom helicopter, which is subject to four types of tail rotor disturbances to validate the control scheme robustness. A mathematical model of the system, its differential flatness and a differential parametrization are obtained. The flat filtering control is designed for the system control with a partially known model, assuming the non-modelled dynamics and the external disturbances (specially the tail rotor ones) to be rejected by means of an extended state model (ultra-local model). Numerical and experimental assessments are carried out on a characterized prototype whose yaw angle (ψ), given by the z axis, is in free form, while the pitch angle (θ), which results from rotation about the y axis, is mechanically restricted. The proposed controller performance is tested through a set of experiments in trajectory tracking tasks with different disturbances in the tail rotor, showing robust behaviour for the different disturbances. Besides, a comparison study against a widely used controller of LQR type is carried out, in which the proposed controller achieves better results, as illustrated by a performance index.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 4; 521--535
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Protector control: Extension to a class of nonlinear distributed systems
Autorzy:
Qaraai, Y.
Bernoussi, A. S.
Powiązania:
https://bibliotekanauki.pl/articles/907703.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
system rozproszony
zaburzenia
podatność na uszkodzenia
nonlinear distributed systems
disturbance
spreadability
vulnerability
remediability
protector control
Opis:
We present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 427-443
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of the Lagrange-Newton Method for Optimal Control Problems
Autorzy:
Malanowski, K. D.
Powiązania:
https://bibliotekanauki.pl/articles/907971.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie optymalne
ograniczenia mieszane
metoda Lagrange'a-Newtona
optimal control
nonlinear ODEs
mixed constraints
Lagrange-Newton method
Opis:
Convergence results for two Lagrange-Newton-type methods of solving optimal control problems are presented. It is shown how the methods can be applied to a class of optimal control problems for nonlinear ODEs, subject to mixed control-state constraints. The first method reduces to an SQP algorithm. It does not require any information on the structure of the optimal solution. The other one is the shooting method, where information on the structure of the optimal solution is exploited. In each case, conditions for well-posedness and local quadratic convergence are given. The scope of applicability is briefly discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 531-540
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Input constraints handling in an MPC/feedback linearization scheme
Autorzy:
Deng, J.
Becerra, V. M.
Stobart, R.
Powiązania:
https://bibliotekanauki.pl/articles/907653.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
sterowanie odwrotne
sieć neuronowa
system nieliniowy
predictive control
feedback linearization
neural network
nonlinear system
constraints
Opis:
The combination of model predictive control based on linear models (MPC) with feedback linearization (FL) has attracted interest for a number of years, giving rise to MPC+FL control schemes. An important advantage of such schemes is that feedback linearizable plants can be controlled with a linear predictive controller with a fixed model. Handling input constraints within such schemes is difficult since simple bound contraints on the input become state dependent because of the nonlinear transformation introduced by feedback linearization. This paper introduces a technique for handling input constraints within a real timeMPC/FL scheme, where the plant model employed is a class of dynamic neural networks. The technique is based on a simple affine transformation of the feasible area. A simulated case study is presented to illustrate the use and benefits of the technique.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 219-232
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust adaptive fuzzy filters output feedback control of strict-feedback nonlinear systems
Autorzy:
Tong, S.
Liu, C.
Li, Y.
Powiązania:
https://bibliotekanauki.pl/articles/908148.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
sterowanie rozmyte
sprzężenie zwrotne
nonlinear system
adaptive fuzzy control
backstepping
small-gain approach
K-filters
Opis:
In this paper, an adaptive fuzzy robust output feedback control approach is proposed for a class of single input single output (SISO) strict-feedback nonlinear systems without measurements of states. The nonlinear systems addressed in this paper are assumed to possess unstructured uncertainties, unmodeled dynamics and dynamic disturbances, where the unstructured uncertainties are not linearly parameterized, and no prior knowledge of their bounds is available. In recursive design, fuzzy logic systems are used to approximate unstructured uncertainties, and K-filters are designed to estimate unmeasured states. By combining backstepping design and a small-gain theorem, a stable adaptive fuzzy output feedback control scheme is developed. It is proven that the proposed adaptive fuzzy control approach can guarantee the all the signals in the closed-loop system are uniformly ultimately bounded, and the output of the controlled system converges to a small neighborhood of the origin. The effectiveness of the proposed approach is illustrated by a simulation example and some comparisons.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 637-653
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear state-space predictive control with on-line linearisation and state estimation
Autorzy:
Ławryńczuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/330330.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
process control
model predictive control
nonlinear state space model
extended Kalman filter
online linearization
proces sterowania
model sterowania predykcyjnego
model przestrzeni stanów
rozszerzony filtr Kalmana
Opis:
This paper describes computationally efficient model predictive control (MPC) algorithms for nonlinear dynamic systems represented by discrete-time state-space models. Two approaches are detailed: in the first one the model is successively linearised on-line and used for prediction, while in the second one a linear approximation of the future process trajectory is directly found on-line. In both the cases, as a result of linearisation, the future control policy is calculated by means of quadratic optimisation. For state estimation, the extended Kalman filter is used. The discussed MPC algorithms, although disturbance state observers are not used, are able to compensate for deterministic constant-type external and internal disturbances. In order to illustrate implementation steps and compare the efficiency of the algorithms, a polymerisation reactor benchmark system is considered. In particular, the described MPC algorithms with on-line linearisation are compared with a truly nonlinear MPC approach with nonlinear optimisation repeated at each sampling instant.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 833-847
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching
Autorzy:
Xiang, Z.
Wang, R.
Chen, Q.
Powiązania:
https://bibliotekanauki.pl/articles/929592.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie czasowe
sterowanie tolerujące uszkodzenia
układ komutowany
układ nieliniowy
time delay
fault tolerant control
switched nonlinear systems
asynchronous switching
Opis:
This paper investigates the problem of fault tolerant control of a class of uncertain switched nonlinear systems with time delay under asynchronous switching. The systems under consideration suffer from delayed switchings of the controller. First, a fault tolerant controller is proposed to guarantee exponentially stability of the switched systems with time delay. The dwell time approach is utilized for stability analysis and controller design. Then the proposed approach is extended to take into account switched time delay systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 497-506
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling nonlinear road traffic networks for junction control
Autorzy:
Péter, T.
Powiązania:
https://bibliotekanauki.pl/articles/330975.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
modelowanie matematyczne
układ dodatni nieliniowy
liniowa funkcja Lapunowa
mathematical modeling
mathematical control
traffic networks
nonlinear positive system
linear Lyapunov function
Opis:
The paper introduces a method of mathematical modeling of high scale road traffic networks, where a new special hypermatrix structure is intended to be used. The structure describes the inner-inner, inner-outer and outer-outer relations, and laws of a network area. The research examines the nonlinear equation system. The analysed model can be applied to the testing and planning of large-scale road traffic networks and the regulation of traffic systems. The elaborated model is in state space form, where the states are vehicle densities on a particular lane and the dynamics are described by a nonlinear state constrained positive system. This model can be used directly for simulation and analysis and as a starting point for investigating various control strategies. The stability of the traffic over the network can be analyzed by constructing a linear Lyapunov function and the associated theory. The model points out that in intersection control one must take the traffic density values of both the input and the output sections into account. Generally, the control of any domain has to take the density of input and output sections into consideration.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 723-732
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Algorithm for Construction of varepsilon-Value Functions for the Bolza Control Problem
Autorzy:
Jacewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/908335.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja nieliniowa
sterowanie optymalne
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
varepsilon-value function
approximate minimum
Opis:
The problem considered is that of approximate numerical minimisation of the non-linear control problem of Bolza. Starting from the classical dynamic programming method of Bellman, an varepsilon-value function is defined as an approximation for the value function being a solution to the Hamilton-Jacobi equation. The paper shows how an varepsilon-value function which maintains suitable properties analogous to the original Hamilton-Jacobi value function can be constructed using a stable numerical algorithm. The paper shows the numerical closeness of the approximate minimum to the infimum of the Bolza functional.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 391-428
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
Autorzy:
Sánchez, Marcelino
Bernal, Miguel
Powiązania:
https://bibliotekanauki.pl/articles/330548.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
robust control
uncertain system
nonlinear system
linear parameter-varying systems
LMIs
sterowanie odporne
układ niepewny
układ nieliniowy
układ liniowy niestacjonarny
Opis:
This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 275-283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neural network-based MRAC control of dynamic nonlinear systems
Autorzy:
Debbache, G.
Bennia, A.
Goléa, N.
Powiązania:
https://bibliotekanauki.pl/articles/908401.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sieć neuronowa
model odniesienia
system nieliniowy
sterowanie adaptacyjne
obserwator
stabilność
neural networks
reference model
nonlinear systems
adaptive control
observer
stability
Opis:
This paper presents direct model reference adaptive control for a class of nonlinear systems with unknown nonlinearities. The model following conditions are assured by using adaptive neural networks as the nonlinear state feedback controller. Both full state information and observer-based schemes are investigated. All the signals in the closed loop are guaranteed to be bounded and the system state is proven to converge to a small neighborhood of the reference model state. It is also shown that stability conditions can be formulated as linear matrix inequalities (LMI) that can be solved using efficient software algorithms. The control performance of the closed-loop system is guaranteed by suitably choosing the design parameters. Simulation results are presented to show the effectiveness of the approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 219-232
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 31-45 z 48

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