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Tytuł:
A stability based neural networks controller design method
Autorzy:
Song, J.
Xu, X.
He, X.
Powiązania:
https://bibliotekanauki.pl/articles/206120.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sieć neuronowa
stabilność
sterowanie nieliniowe
neural networks control
nonlinear control
sliding mode
stability
Opis:
The use of neural networks in control systems can be seen as a natural step in the evolution of control methodology to meet new challenges. Many attempts have been made to apply the neural networks to deal with non-linearities and uncertainties of the control systems. Research in neural network applications to control can be classified according to the major methods depending on structures of the control system, such as NN-based NON-linear System Identification, NN-based Supervised Control, NN-based Direct Control, NN-based Indirect Control, NN-based Adaptive Control, NN-based Self-learning Control, NN-based Fuzzy Control, and NN Variable Structure Control. All these control methods cannot, however, effectively guarantee system stability, i.e. none of these neural network controls, except for NN-based Variable Structure Control, is based on system stability. This also limits the application and development of the neural networks in control theory. The paper shows the effort to solve this difficulty and give a way for the design method of the stability based neural networks controller using Lyapunov second stability theorem. This kind of controller can not only guarantee system stability, but also fully compensate for the influence of system uncertainties and non-linearities.Simulation results also show the effectiveness of the controller.
Źródło:
Control and Cybernetics; 1998, 27, 1; 119-133
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive Process Control in Rubber industry
Autorzy:
Brause, R. W.
Pietruschka, U.
Powiązania:
https://bibliotekanauki.pl/articles/90854.pdf
Data publikacji:
1998
Wydawca:
Centralny Instytut Ochrony Pracy
Tematy:
extruder mask estimation
nonlinear adaptive control
neural networks
rubber production automatisation
knowledge accumulation
sieci neuronowe
przemysł gumowy
nieliniowe sterowanie adaptacyjne
Opis:
This paper describes the problems and an adaptive solution for process control in rubber industry. We show that the human and economical benefits of an adaptive solution for the approximation of process parameters are very attractive. The modeling of the industrial problem is done by the means of artificial neural networks. For the example of the extrusion of a rubber profile in tire production our method shows good resuits even using only a few training samples.
Źródło:
International Journal of Occupational Safety and Ergonomics; 1998, 4, 3; 253-269
1080-3548
Pojawia się w:
International Journal of Occupational Safety and Ergonomics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/206654.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równania różniczkowe nieliniowe
różniczkowalność rozwiązań
sterowanie optymalne parametryczne
differentiability of solutions
implicit function theorem
nonlinear ordinary differential equations
parametric optimal control
state constraints
Opis:
A family {(O[sub h])} of parametric optimal control problems for nonlinear ODEs is considered. The problems are subject to pointwise inequality type state constraints. It is assumed that the reference solution is regular. The original problems (O[sub h]) are substituted by problems [...] subject to equality type constraints with the sets of activity depending on the parameter. Using the classical implicit function theorem, conditions are derived under which stationary points of [...] are Frechet differentiable functions of the parameter. It is shown that, under additional conditions, the stationary points of [...] correspond to the solutions and Lagrange multipliers of (O[sub h]9).
Źródło:
Control and Cybernetics; 1998, 27, 3; 335-352
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design and Stability of Fuzzy Logic Multi-Regional Output Controllers
Autorzy:
Domański, P.
Brdyś, M. A.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/908274.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie nieliniowe
sterowanie wewnętrzne
zbiór rozmyty
model Takagi-Sugeno
nonlinear output control
fuzzy logic
Takagi-Sugeno models
stability conditions
Opis:
Design and stability analysis of fuzzy multi-regional digital controllers is considered in the paper. The controllers are based on a notion of NARMAX systems, very similar to the Takagi-Sugeno fuzzy model. The nonlinear system is approximated by a number of linear subsystems. Linear controllers are designed for all subsystems. It can be made in a classical way due to the subsystems linearity. The controllers are blended into one controller by employing fuzzy logic, the result being the fuzzy multi-regional controller (FuMR). The stability analysis of nonlinear systems with FuMR controllers composed of dynamic output feedback local linear controllers is provided. Examples illustrate the design procedure and the meaning of the stability criterion.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 883-897
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of distributed parameter nonlinear systems by differential Taylor method
Autorzy:
Abbasov, T.
Herdem, S.
Koeksal, M.
Powiązania:
https://bibliotekanauki.pl/articles/206479.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
filtracja
równania różniczkowe zwyczajne
sterowanie
systemy nieliniowe
absorption
convective diffusion
differential Taylor transform
distributed parameter systems
ecological systems
engineering systems
Opis:
Modelling, solution, control and even design of many ecological and engineering systems involve dealing with nonlinear partial differential equations of which analytic solutions are rarely available and numerical approach with or without linearization, or approximation is inevitable most of the time. In this paper the possibility of analysing such systems by using a fairly new method known as Differential Taylor (DT) Transform and its advantages are proved. The results obtained by this method are compared with the experimental results and shown to be within good agreement with them. It is emphasised that DT Transform is not effective for only filtration systems, but can also be used equally well for absorption, heat and mass transfer, convective diffusion and similar systems.
Źródło:
Control and Cybernetics; 1999, 28, 2; 259-267
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Control of Nonlinear Time-Delay Systems
Autorzy:
Antoniades, C.
Christofides, P. D.
Powiązania:
https://bibliotekanauki.pl/articles/908267.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
model niepewności
sterowanie solidne nieliniowe
opóźnienie czasowe
model uncertainty
time delays
nonlinear robust control
fluidized catalytic cracker
Opis:
This paper focuses on single-input single-output nonlinear differential difference equation (DDE) systems with uncertain variables. For such systems, a general methodology is developed for the synthesis of robust nonlinear state feedback controllers that guarantee boundedness of the states and ensure that the ultimate discrepancy between the output and the external reference input in the closed-loop system can be made arbitrarily small by an appropriate choice of controller parameters. The controllers are synthesized by using a novel combination of geometric and Lyapunov-based techniques and enforce the above properties in the closed-loop system independently of the size of the state delay. The proposed control method is successfully applied to a fluidized catalytic cracking unit with a time-varying uncertain variable and is shown to outperform a proportional integral (PI) controller, a nonlinear controller that does not account for the uncertainty, and anonlinear controller that does not account for the state delays.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 811-837
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:
Suboptimal Nonlinear Predictive Controllers
Autorzy:
Declercq, F.
De Keyser, R.
Powiązania:
https://bibliotekanauki.pl/articles/908312.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
sterowanie nieliniowe
programowanie sekwencyjne
równanie diofantyczne
predictive control
nonlinear control
sequential quadratic programming
diophantine equations
Opis:
Predictive control based on linear models has become a mature technology in the last decade. Many successful real-time applications can be found in almost every sector of industry. Nonlinear predictive control can further increase the performance of this easy-to-understand control strategy. One of the main problems of implementing nonlinear predictive control is the computational aspect, which is of most importance in real-life applications. In this paper, suboptimal nonlinear predictive control strategies are proposed and compared. The nonlinear predictors are built based on neural identification methods or by white modelling. The use of diophantine equations, which is a common technique to calculate the optimal contribution of the noise model, is avoided by using a more natural method. The comparison between the control algorithms is made based on a simulated discrete multivariable nonlinear system and a continuous stirred tank reactor.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 129-148
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite-Dimensional Control of Nonlinear Parabolic Pde Systems With Time-Dependent Spatial Domains Using Empirical Eigenfunctions
Autorzy:
Armaou, A.
Christofides, P. D.
Powiązania:
https://bibliotekanauki.pl/articles/908332.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie nieliniowe
sterowanie skończenie wymiarowe
Karhunen-Loeve expansion
Galerkin's method
nonlinear control
diffusion-reaction processes with moving boundaries
Opis:
This article presents a methodology for the synthesis of finite-dimensional nonlinear output feedback controllers for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains. Initially, the nonlinear parabolic PDE system is expressed with respect to an appropriate time-invariant spatial coordinate, and a representative (with respect to different initial conditions and input perturbations) ensemble of solutions of the resulting time-varying PDE system is constructed by computing and solving a high-order discretization of the PDE. Then, the Karhunen-Loeve expansion is directly applied to the ensemble of solutions to derive a small set of empirical eigenfunctions (dominant spatial patterns) that capture almost all the energy of the ensemble of solutions. The empirical eigenfunctions are subsequently used as basis functions within a Galerkin model reduction framework to derive low-order ordinary differential equation (ODE) systems that accurately describe the dominant dynamics of the PDE system. The ODE systems are subsequently used for the synthesis of nonlinear output feedback controllers using geometric control methods. The proposed control method is used to stabilize an unstable steady-state of a diffusion-reaction process with nonlinearities, spatially-varying coefficients and time-dependent spatial domain, and is shown to lead to the construction of accurate low-order models and the synthesis of low-order controllers. The performance of the low-order models and controllers is successfully tested through computer simulations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 287-317
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of optimal control problems with bound constraints by control parameterization
Autorzy:
Alt, W.
Powiązania:
https://bibliotekanauki.pl/articles/970516.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne nieliniowe
metoda Newtona
nonlinear optimal control
bound constraints
Newton's method
control parameterization
Opis:
We consider nonlinear optimal control problems with bound constraints for the controls. Under the assumption that the optimal control is continuous and has finitely many smooth boundary arcs, we show that the system of optimahty conditions can be reduced to a system of operator equations. Based on this system we investigate convergence of approximations by control parameterization.
Źródło:
Control and Cybernetics; 2003, 32, 3; 451-472
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear boundary control of coupled Burgers equations
Autorzy:
Kobayashi, T.
Oya, M.
Powiązania:
https://bibliotekanauki.pl/articles/206228.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie sprzężone Burgersów
stabilizacja globalna
regulacja adaptacyjna
sterowanie nieliniowe brzegowe
coupled Burgers' equation
global stabilization
adaptive regulation
nonlinear boundary control
Opis:
This paper is concerned with adaptive stabilization of two coupled viscous Burgers' equations by nonlinear boundary controllers. Under the existence of bounded deterministic disturbances, the adaptive controllers are constructed by the concept of high-gain nonlinear output feedback and the estimation mechanism of the unknown parameters. In the controlled system the global stability and the convergence of the system states to zero will be guaranteed. It is shown that the theory can be generalized to the systems with higher-order nonlinearity.
Źródło:
Control and Cybernetics; 2003, 32, 2; 245-258
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of Second-order Systems by Non-linear Feedback
Autorzy:
Skruch, P.
Powiązania:
https://bibliotekanauki.pl/articles/907952.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ drugiego rzędu
teoria stabilności
sterowanie nieliniowe
second-order system
stability theory
non-linear feedback
Opis:
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 455-460
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:
On a nonlocal metric regularity of nonlinear operators
Autorzy:
Dmitruk, A. V.
Powiązania:
https://bibliotekanauki.pl/articles/970552.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
odwzorowanie nieliniowe
pokrycie jednostajne
sterowanie ślizgowe
słaba zbieżność
non-linear mapping
covering and metric regularity
Lyusternik iteration process
uniform covering
combined operator
sliding mode controls
weak-* convergence
Opis:
We consider some versions and generalizations of the classical Lyusternik theorem on the covering property (metric regularity) of nonlinear mappings, study some related properties, and propose nonlocal theorems of the given type, which then are used in the proof of a relaxation theorem for a nonlinear control system with sliding modes and terminal equality constraints.
Źródło:
Control and Cybernetics; 2005, 34, 3; 723-746
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Układ stabilizacji kursu statku z wykorzystaniem algorytmów sterowania inteligentnego
Ship Course Stabilization System Based on Intelligent Control Algorithms
Autorzy:
Zwierzewicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/359323.pdf
Data publikacji:
2005
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
stabilizacja kursu statku
adaptacja
sterowanie inteligentne
systemy nieliniowe
OMiUO 2005
ship course stabilization
adaptation
intelligent control
nonlinear systems
Opis:
Biorąc pod uwagę fakt, że identyfikacja modelu dynamiki statku w warunkach eksploatacyjnych jest pracochłonnym procesem - w artykule zaproponowano konstrukcję algorytmu stabilizacji kursu statku bazującą na metodach sterowania inteligentnego. Podejście takie umożliwia syntezę algorytmu sterowania 'on-line' nawet w przypadku braku znajomości struktury modelu dynamicznego statku.
Taking into account that the ship dynamics' identification process is such an arduous task the paper proposes a ship course stabilization algorithm based on the intelligent control concept. Such an approach makes it possible for an on-line control algorithm synthesis even in the case of the absence of a ship's dynamical model structure.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2005, 5 (77); 487-498
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł

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