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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:
Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization
Autorzy:
Aranda-Bricaire, E.
Moog, C.
Pomet, J.
Powiązania:
https://bibliotekanauki.pl/articles/1359653.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
flat systems
dynamic feedback linearization
Brunovský canonical form
nonlinear control systems
endogenous dynamic feedback
Pfaffian systems
linearized control system
Opis:
We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.
Źródło:
Banach Center Publications; 1995, 32, 1; 19-33
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of a multivariable neural controller for control of a nonlinear MIMO plant
Autorzy:
Bańka, S.
Dworak, P.
Jaroszewski, K.
Powiązania:
https://bibliotekanauki.pl/articles/330790.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
MIMO multivariable control system
nonlinear system
neural control
wielowymiarowy układ sterowania
układ nieliniowy
sterowanie neuronowe
Opis:
The paper presents the training problem of a set of neural nets to obtain a (gain-scheduling, adaptive) multivariable neural controller for control of a nonlinear MIMO dynamic process represented by a mathematical model of Low-Frequency (LF) motions of a drillship over the drilling point at the sea bottom. The designed neural controller contains a set of neural nets that determine values of its parameters chosen on the basis of two measured auxiliary signals. These are the ship’s current forward speed measured with respect to water and the systematically calculated difference between the course angle and the sea current (yaw angle). Four different methods for synthesis of multivariable modal controllers are used to obtain source data for training the neural controller with parameters reproduced by neural networks. Neural networks are designed on the basis of 3650 modal controllers obtained with the use of the pole placement technique after having linearized the model of LF motions made by the vessel at its nominal operating points in steady states that are dependent on the specified yaw angle and the sea current velocity. The final part of the paper includes simulation results of system operation with a neural controller along with conclusions and final remarks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 357-369
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear adaptive structure for control of a nonlinear MIMO dynamic plant
Autorzy:
Bańka, S.
Dworak, P.
Jaroszewski, K.
Powiązania:
https://bibliotekanauki.pl/articles/329882.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
MIMO multivariable control systems
nonlinear system
modal control
wielowymiarowy układ sterowania
układ nieliniowy
sterowanie modalne
Opis:
In the paper an adaptive linear control system structure with modal controllers for a MIMO nonlinear dynamic process is presented and various methods for synthesis of those controllers are analyzed. The problems under study are exemplified by the synthesis of a position and yaw angle control system for a drillship described by a 3DOF nonlinear mathematical model of low-frequency motions made by the drillship over the drilling point. In the proposed control system, use is made of a set of (stable) linear modal controllers that create a linear adaptive controller with variable parameters tuned appropriately to operation conditions chosen on the basis of two measured auxiliary signals. These are the ship’s current forward speed measured in reference to the water and the systematically calculated difference between the course angle and the sea current (yaw angle). The system synthesis is carried out by means of four different methods for system pole placement after having linearized the model of low-frequency motions made by the vessel at its nominal “operating points” in steady states that are dependent on the specified yaw angle and the sea current velocity. The final part of the paper includes simulation results of system operation with an adaptive controller of (stepwise) varying parameters along with conclusions and final remarks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 47-63
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chattering attenuation in sliding mode control systems
Autorzy:
Bartoszewicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/206731.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nieliniowy system sterowania
nonlinear control system
compensation
control nonlinearities
sliding mode control
variable structure systems
Opis:
In this paper sliding mode control systems are considered and a new technique to attenuate chattering is proposed. The technique employs simple, first-order dynamical devices, i.e. an integrator or a low-pass filter, to compensate in part for unknown and changing disturbance. As a result of this compensation, the magnitude of the discontinuous control term is essentially reduced. The term does not depend on the admissible disturbance or its change rate, but only on the uncertainty of the disturbance at the initial time t = t[sub o]. The technique proposed in this paper attenuates the undesirable chattering without any deterioration of the system performance.
Źródło:
Control and Cybernetics; 2000, 29, 2; 585-584
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nieliniowe sterowanie predykcyjne kaskadowym układem zbiorników
Nonlinear predictive control of a cascade of tanks
Autorzy:
Bieniek, B.
Piotrowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/276826.pdf
Data publikacji:
2017
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
kaskadowy układ zbiorników
modelowanie
sterowanie
nieliniowy układ regulacji
predykcyjny układ regulacji
cascade tanks
modeling
control
nonlinear control system
predictive control
Opis:
Obiektem regulacji jest kaskadowy układ trzech zbiorników firmy INTECO. Do sterowania wykorzystywane są dwa z nich. Zaprojektowano dwa układy regulacji poziomu wody: jednowymiarowe algorytmy MPC – po jednym dla każdego ze zbiorników oraz wielowymiarowy algorytm MPC sterujący całym układem. Przeprowadzono analizę porównawczą opracowanych algorytmów sterowania dla zmiennej trajektorii zadanej.
The control system is a cascade of three tanks of INTECO. They are used to control two of them. Two algorithms of water level control are used: two single dimensional model predictive control (MPC) algorithms, one for each tank, and a multi-dimensional MPC controlling both tanks simultaneously. A comparative analysis of developed control algorithms for variable set-point trajectory.
Źródło:
Pomiary Automatyka Robotyka; 2017, 21, 1; 25-30
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
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
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:
Computationally efficient nonlinear model predictive controller using parallel particle swarm optimization
Autorzy:
Diwan, Supriya P.
Deshpande, Shraddha S.
Powiązania:
https://bibliotekanauki.pl/articles/2173694.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear model predictive control
particle swarm optimization
PSO
fast dynamic systems
rotary inverted pendulum
divide approach
conquer approach
kontrola predykcyjna modelu nieliniowa
optymalizacja roju cząstek
system dynamiczny szybki
wahadło obrotowe odwrócone
Opis:
As nonlinear optimization techniques are computationally expensive, their usage in the real-time era is constrained. So this is the main challenge for researchers to develop a fast algorithm that is used in real-time computations. This work proposes a fast nonlinear model predictive control approach based on particle swarm optimization for nonlinear optimization with constraints. The suggested algorithm divide and conquer technique improves computing speed and disturbance rejection capability, demonstrating its suitability for real-time applications. The performance of this approach under constraints is validated using a highly nonlinear fast and dynamic real-time inverted pendulum system. The solution presented through work is computationally feasible for smaller sampling times and it gives promising results compared to the state of art PSO algorithm
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 4; art. no. e140696
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Method of cooperative formation control for underactuated USVs based on nonlinear backstepping and cascade system theory
Autorzy:
Dong, Zaopeng
Liu, Yang
Wang, Hao
Qin, Tao
Powiązania:
https://bibliotekanauki.pl/articles/1573634.pdf
Data publikacji:
2021
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
unmanned surface vehicle (USV)
cooperative formation control
underactuated system
nonlinear backstepping
cascade system theory
Opis:
This paper presents a method for the cooperative formation control of a group of underactuated USVs. The problem of formation control is first converted to one of stabilisation control of the tracking errors of the follower USVs using system state transformation design. The followers must keep a fixed distance from the leader USV and a specific heading angle in order to maintain a certain type of formation. A global differential homeomorphism transformation is then designed to create a tracking error system for the follower USVs, in order to simplify the description of the control system. This makes the complex formation control system easy to analyse, and allows it to be decomposed into a cascaded system. In addition, several intermediate state variables and virtual control laws are designed based on nonlinear backstepping, and actual control algorithms for the follower USVs to control the surge force and yaw moment are presented. A global system that can ensure uniform asymptotic stability of the USVs’ cooperative formation control is achieved by combining Lyapunov stability theory and cascade system theory. Finally, several simulation experiments are carried out to verify the validity, stability and reliability of our cooperative formation control method.
Źródło:
Polish Maritime Research; 2021, 1; 149-162
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On real order passivity
Autorzy:
Gallegos, J. A.
Duarte-Mermoud, M. A.
Powiązania:
https://bibliotekanauki.pl/articles/200762.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
passivity
dissipativeness
adaptive
passivation
nonlinear mixed-order system
positive realness
control of nonlinear systems
pasywność
rozproszenie
adaptacja
pasywacja
Opis:
The aim of this paper is to show that a real order generalization of the dissipative concepts is a useful tool to determine the stability (in the Lyapunov and in the input-output sense) and to design control strategies not only for fractional order non-linear systems, but also for systems composed of integer and fractional order subsystems (mixed-order systems). In particular, the fractional control of integer order system (e.g. PI? control) can be formalized. The key point is that the gradations of dissipativeness, passivity and positive realness concepts are related among them. Passivating systems is used as a strategy to stabilize them, which is studied in the non-adaptive as well as in the adaptive case.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 3; 445-454
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tracking Control Algorithms for a Laboratory Aerodynamical System
Autorzy:
Gorczyca, P.
Hajduk, K.
Powiązania:
https://bibliotekanauki.pl/articles/907962.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
sterowanie w czasie rzeczywistym
sterowanie nadążne
kontroler suboptymalny
nonlinear systems
real-time control
tracking control
suboptimal controller
Opis:
The tracking control problem of a strongly nonlinear MIMO system is presented. The system shares some features with a helicopter, such as important interactions between the vertical and horizontal motions. The dedicated I/O board allows for control, measurements and communication with a PC. The RTWT toolbox in the MATLAB environment is used to perform real-time experiments. The control task is to track a predefined reference trajectory. A mathematical model of the system, containing experimental characteristics, is used to design the controllers: a multidimensional PD, a suboptimal controller in the sense of a quadratic performance index and a variable gain controller.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 469-475
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sterowanie procesem destylacji z wykorzystaniem regulatorów rozmytych
Control of distillation process using fuzzy controllers
Autorzy:
Grzelak, A.
Konkel, M.
Piotrowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/277616.pdf
Data publikacji:
2013
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
modelowanie matematyczne
system nieliniowy
sterowanie rozmyte
kolumna destylacyjna
mathematical modeling
nonlinear systems
fuzzy control systems
distillation column
Opis:
Proces destylacji jest popularnym przemysłowym sposobem rozdziału ciekłych mieszanin wieloskładnikowych. W artykule rozważana jest mieszanina etanol-woda, będąca powszechnie destylowanym produktem. Celem artykułu jest omówienie procesu projektowania i symulacyjnej analizy działania trzech układów sterowania kolumną rektyfikacyjną z wykorzystaniem rozmytych regulatorów: P, PD i PI.
Distillation is the most common unit operations in different branches of industry. In the paper a two product distillation process is considered (ethanol-water). The paper presents mathematical model of distillation column. Next, the three fuzzy controllers (P, PD, PI) are designed and implemented in MATLAB/Simulink environment. Finally, the results of simulation and a critical analysis are presented.
Źródło:
Pomiary Automatyka Robotyka; 2013, 17, 10; 172-181
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wykorzystanie koncepcji sterowania skalą czasu do syntezy sterowań dla liniowych i nieliniowych układów dynamicznych
Application of idea of time-scale control to synthesis of control signals for linear and nonlinear objects
Autorzy:
Grzywacz, B.
Powiązania:
https://bibliotekanauki.pl/articles/152991.pdf
Data publikacji:
2010
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
sterowanie obiektami liniowymi i nieliniowymi
skalowanie czasowe odpowiedzi układów dynamicznych
sterowanie z użyciem modelu obiektu
control of linear and nonlinear objects
time-scaling of system responses
control based on object model
Opis:
W pracy przedstawiono nową koncepcję sterowania obiektami dynamicznymi, tak liniowymi jak i nieliniowymi, poprzez sterowanie skalą czasu wyjścia obiektu. Zaproponowano implementację tej koncepcji w ramach zmodyfikowanej struktury MFC. Wskazano korzystne własności charakteryzujące jakość regulacji w przypadku stosowania sterowań opartych o reguły skalowania czasowego. Rozważania ilustrowane są przykładami.
A new concept of control of objects described by state equation system (1) or equivalent ones is proposed. Basing on Eqs. (5),(6) and model (2) shown in Fig. 1, one can determine such an object input U(t) that the output has the form Y(T), where the "new" time T is defined by formula dT=A(t)dt depending on the time-variable, time-scale coefficient A(t). Y(t) is the object response to the reference input for A=1 (see Fig. 3). Signal A(t) is formed on the basis of control system error signal e(t) as the result of static, linear or nonlinear operation A(t)=q(e(t)), where q(0)=0. Thus, using (5),(6) and model (2), one can design the modified MFC structure shown in Fig. 4 for precise control of the object output Y. The principle of control is very simple: if the error reaches the value e(t)=A(t)=0, then the object model in Fig. 1 can be treated as decoupled, values of its state variables remain the same and model output y remains the same, too. Because Y follows y (Fig. 4), the changes of the object output Y do not occur. If e(t)=A(t) 0, then y and Y tend to the reference signal yo and the rate of this follow-up action depends on the choice of q(e(t)). During this process the consecutive values of the model and object output are y(T) and Y(T). This means, that the "reference" plant response Y(t) for A=1 exactly defines Y(T). The mentioned above properties generate an extremely simple way for analysis of the system stability and allow obtaining perfect results of the follow-up action (lack of overshoots, short setting times) - see Figs. 5, 6.
Źródło:
Pomiary Automatyka Kontrola; 2010, R. 56, nr 11, 11; 1348-1352
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the robustness of the integrable trajectories of the control systems with limited control resources
Autorzy:
Huseyin, Nesir
Huseyin, Anar
Guseinov, Khalik G.
Powiązania:
https://bibliotekanauki.pl/articles/27321481.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
nonlinear control system
integral equation
integral constraint
integrable trajectory
robustness
Opis:
The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen from the closed ball of the space Lq(Ω; ℝm), q > 1, with radius r and centered at the origin. The trajectory of the system is defined as p-integrable multivariable function from the space Lp(Ω; ℝn), (1/q) + (1/p) = 1, satisfying the system’s equation almost everywhere. It is shown that the system’s trajectories are robust with respect to the fast consumption of the remaining control resource. Applying this result it is proved that every trajectory can be approximated by the trajectory obtained by full consumption of the total control resource.
Źródło:
Archives of Control Sciences; 2023, 33, 3; 527--537
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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