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Tytuł:
A novel method for the design of switching surfaces for discretized MIMO nonlinear systems
Autorzy:
Luis-Delgado, J. D.
Al-Hadithi, B. M.
Jiménez, A.
Powiązania:
https://bibliotekanauki.pl/articles/331143.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
discrete sliding mode
variable structure control
nonlinear control
optimal control
MIMO system
sterowanie dyskretne
sterowanie ślizgowe
sterowanie o zmiennej strukturze
sterowanie nieliniowe
sterowanie optymalne
system MIMO
Opis:
Designing variable structure control with sliding mode (VSC-SM) control schemes needs a switching function or a sliding surface which guarantees the global stability of the closed-loop system. Despite the fact that a wide range of design approaches has been proposed for solving this mathematical problem, the number of proposed methodologies for nonlinear systems is not very extensive, especially for discrete time nonlinear MIMO systems, and most of them require some coordinate system transformation. Therefore, it is not an easy task to find a design scheme that can be applied to discrete time nonlinear MIMO systems. The proposed methodology introduces a mathematical tool: a switching surface equation for a class of MIMO nonlinear systems through an explicit equation without any coordinate transformation. This equation makes use of an implicit linearizing process via the Taylor expansion that allows the use of linear procedures for the design of switching surfaces and the forward Euler method to obtain a discrete time dynamics representation. An illustrative example is included to show the advantages of the proposed design methodology.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 5-17
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A numerically efficient fuzzy MPC algorithm with fast generation of the control signal
Autorzy:
Marusak, Piotr M.
Powiązania:
https://bibliotekanauki.pl/articles/1838187.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
model predictive control
fuzzy system
fuzzy control
nonlinear control
sterowanie predykcyjne
system rozmyty
sterowanie rozmyte
sterowanie nieliniowe
Opis:
Model predictive control (MPC) algorithms are widely used in practical applications. They are usually formulated as optimization problems. If a model used for prediction is linear (or linearized on-line), then the optimization problem is a standard, i.e., quadratic, one. Otherwise, it is a nonlinear, in general, nonconvex optimization problem. In the latter case, numerical problems may occur during solving this problem, and the time needed to calculate control signals cannot be determined. Therefore, approaches based on linear or linearized models are preferred in practical applications. A novel, fuzzy, numerically efficient MPC algorithm is proposed in the paper. It can offer better performance than the algorithms based on linear models, and very close to that of the algorithms based on nonlinear optimization. Its main advantage is the short time needed to calculate the control value at each sampling instant compared with optimization-based numerical algorithms; it is a combination of analytical and numerical versions of MPC algorithms. The efficiency of the proposed approach is demonstrated using control systems of two nonlinear control plants: the first one is a chemical CSTR reactor with a van de Vusse reaction, and the second one is a pH reactor.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 59-71
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sufficient condition for small-time local attainability of a set
Autorzy:
Krastanov, M.
Powiązania:
https://bibliotekanauki.pl/articles/205840.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nieliniowy system sterowania
nonlinear control systems
small-time local attainability of a set
Opis:
The notion of small-time local attainability (STLA) of a closed set with respect to a nonlinear control system is discussed and a new sufficient STLA condition is proved.
Źródło:
Control and Cybernetics; 2002, 31, 3; 739-750
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Active Noise Control Algorithm Based on a Neural Network and Nonlinear Input-Output System Identification Model
Autorzy:
Krukowicz, T.
Powiązania:
https://bibliotekanauki.pl/articles/178040.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
active noise control
neural network
system identification
nonlinear phenomena
Opis:
The development of digital signal processors and the increase in their computing capabilities bring opportunities to employ algorithms with multiple variable parameters in active noise control systems. Of particular interest are the algorithms based on artificial neural networks. This paper presents an active noise control algorithm based on a neural network and a nonlinear input-output system identification model. The purpose of the algorithm is an active noise control system with a nonlinear primary path. The algorithm uses the NARMAX system identification model. The neural network employed in the proposed algorithm is a multilayer perceptron. The error backpropagation rule with adaptive learning rate is employed to update the weight of the neural network. The performance of the proposed algorithm has been tested by numerical simulations. Results for narrow-band input signals and nonlinear primary path are presented below.
Źródło:
Archives of Acoustics; 2010, 35, 2; 191-202
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Actuator fault tolerance in control systems with predictive constrained set-point optimizers
Autorzy:
Marusak, P. M.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/929879.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie odporne na błędy
sterowanie predykcyjne
optymalizacja
system nieliniowy
fault tolerant control
model predictive control
set-point optimization
nonlinear system
Opis:
Mechanisms of fault tolerance to actuator faults in a control structure with a predictive constrained set-point optimizer are proposed. The structure considered consists of a basic feedback control layer and a local supervisory set-point optimizer which executes as frequently as the feedback controllers do with the aim to recalculate the set-points both for constraint feasibility and economic performance. The main goal of the presented reconfiguration mechanisms activated in response to an actuator blockade is to continue the operation of the control system with the fault, until it is fixed. This may be even long-term, if additional manipulated variables are available. The mechanisms are relatively simple and consist in the reconfiguration of the model structure and the introduction of appropriate constraints into the optimization problem of the optimizer, thus not affecting the numerical effectiveness. Simulation results of the presented control system for a multivariable plant are provided, illustrating the efficiency of the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 539-551
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:
Algorytm regulacji odpornej ADRC - dobór nastaw i sposób dyskretnej implementacji
Robust ADRC Control - Tuning and Discrete Implementation
Autorzy:
Michalski, Jacek
Kozierski, Piotr
Retinger, Marek
Puchalski, Radosław
Powiązania:
https://bibliotekanauki.pl/articles/2090883.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
sterowanie ADRC
regulator PID
sprzężenie od stanu
rozszerzony obserwator stanu
dobór nastaw
wielowymiarowy obiekt nieliniowy
ADRC control
PID controller
state feedback
extended state observer
tuning methods
multidimensional nonlinear system
Opis:
W niniejszej pracy został przedstawiony algorytm regulacji odpornej Active Disturbance Rejection Control obiektem aerodynamicznym o dwóch stopniach swobody. Pokazano pełne wyprowadzenia równań algorytmu regulacji oraz wartości nastaw w zależności od pożądanych właściwości układu, na podstawie dynamiki obiektu oscylacyjnego drugiego rzędu. Dokonano dyskretyzacji równań algorytmu regulacji i zaproponowano jego dyskretną implementację. Testy przeprowadzono na laboratoryjnym zestawie aerodynamicznym firmy Inteco, którego model matematyczny jest silnie nieliniowy, ma dwa stopnie swobody i sprzężenia skrośne. Jakość działania oceniona została na podstawie przebiegów czasowych, a także całkowych wskaźników jakości. Przeprowadzone badania pokazują przewagę zastosowanego algorytmu nad regulacja PID dla badanego systemu. Przedstawiony algorytm regulacji cechuje się także większą przenośnością - nastawy dobierane są tylko w oparciu o rząd obiektu i teoretycznie raz dobrane są właściwe, niezależnie od modelu matematycznego. Zaproponowane równania dyskretne mogą zostać zaimplementowane z użyciem dowolnego języka programowania dla teoretycznie dowolnego obiektu, przy uwzględnieniu rzędu jego dynamiki.
This paper presents the robust Active Disturbance Rejection Control method in an aerodynamical object with two degrees of freedom. Full derivation of control algorithm equations and the settings values depending on the desired properties of the system, based on the dynamics of the second order oscillating object, have been shown. The equations of the control algorithm were discretized and its discrete implementation was proposed. The tests were carried out on the Inteco aerodynamical laboratory kit, whose mathematical model is strongly non-linear, has two degrees of freedom and crosscoupling. The quality of operation was assessed on the basis of time graphs as well as integral quality indices. The conducted research shows the advantage of the applied algorithm over PID control for the tested system. The presented control algorithm is also more portable - the settings are selected only on the basis of the object order and once selected are correct regardless of the mathematical model. The proposed discrete equations can be implemented using any programming language theoretically for any object, taking into account the order of its dynamics.
Źródło:
Pomiary Automatyka Robotyka; 2022, 26, 2; 5--13
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis, adaptive control and circuit simulation of a novel finance system with dissaving
Autorzy:
Tacha, O. I.
Volos, C. K.
Stouboulos, I. N.
Kyprianidis, I. M.
Powiązania:
https://bibliotekanauki.pl/articles/229959.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
chaotic finance system
dissaving
bifurcation diagram
Lyapunov exponent
phase portrait
adaptive control
nonlinear circuit
Opis:
In this paper a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities with negative saving term, which is called ‘dissaving’ is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using wellknown simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system’s behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.
Źródło:
Archives of Control Sciences; 2016, 26, 1; 95-115
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Anti-synchronization in different new chaotic systems via active nonlinear control
Autorzy:
Khan, A.
Prasad, R. P.
Powiązania:
https://bibliotekanauki.pl/articles/229711.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
new chaotic system
anti-synchronization
active nonlinear control
Opis:
In this paper, we discuss anti-synchronization between two identical new chaotic systems and anti-synchronization between another two identical new chaotic systems by active nonlinear control. The sufficient conditions for achieving the anti-synchronization of two new chaotic systems are derived based on Lyapunov stability theory. Numerical simulations are provided for illustration and verification of the proposed method.
Źródło:
Archives of Control Sciences; 2013, 23, 2; 229-242
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chaos synchronization of uncertain coronary artery systems through sliding mode
Autorzy:
Qian, D. W.
Xi, Y. F.
Tong, S. W.
Powiązania:
https://bibliotekanauki.pl/articles/201501.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
chaos synchronization
coronary artery systems
sliding mode control
nonlinear dynamics
synchronizacja chaosu
system tętnic wieńcowych
kontroler trybu przesuwnego
dynamika nieliniowa
Opis:
The chaotic phenomena of coronary artery systems are hazardous to health and may induce illness development. From the perspective of engineering, the potential harm can be eliminated by synchronizing chaotic coronary artery systems with a normal one. This paper investigates the chaos synchronization problem in light of the methodology of sliding mode control (SMC). Firstly, the nonlinear dynamics of coronary artery systems are presented. Since the coronary artery systems suffer from uncertainties, the technique of derivative-integral terminal SMC is employed to achieve the chaos synchronization task. The stability of such a control system is proven in the sense of Lyapunov. To verify the feasibility and effectiveness of the proposed method, some simulation results are illustrated in comparison with a benchmark.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 3; 455-462
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
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:
Comparison of Two Nonlinear Predictive Control Algorithms for Dissolved Oxygen Tracking Problem at WWTP
Autorzy:
Piotrowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/384859.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
aeration
dissolved oxygen
wastewater treatment
mathematical modelling
nonlinear system
predictive control
Opis:
The wastewater treatment plant is classified as a complex system due to its nonlinear dynamics, large uncertainty in the disturbance inputs, multiple time scales in the internal process dynamics and multivariable structure. Aeration is an important and expensive activity that is carried out during wastewater treatment plant operation. A precise aeration control in biological processes for all the operating conditions is necessary in order to guarantee adequate biological conditions for microorganisms. Therefore, the most important is to operate the biological processes so that a minimal energy was consumed and minimal DO concentration demand was applied. The paper proposes a two advanced control systems to track the dissolved oxygen reference trajectory. A decentralized and multivariable nonlinear predictive control algorithms are designed and compared. Simulation tests for the case study wastewater treatment plant are presented.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 1; 8-16
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
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:
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:
Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability
Autorzy:
Marusak, P. M.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/907866.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
system rozmyty
sterowanie predykcyjne
stabilność
sterowność wymuszona
nonlinear system
fuzzy system
model predictive control
stability
constrained control
dual-mode control
Opis:
Dual-mode fuzzy dynamic matrix control (fuzzy DMC-FDMC) algorithms with guaranteed nominal stability for constrained nonlinear plants are presented. The algorithms join the advantages of fuzzy Takagi-Sugeno modeling and the predictive dual-mode approach in a computationally efficient version. Thus, they can bring an improvement in control quality compared with predictive controllers based on linear models and, at the same time, control performance similar to that obtained using more demanding algorithms with nonlinear optimization. Numerical effectiveness is obtained by using a successive linearization approach resulting in a quadratic programming problem solved on-line at each sampling instant. It is a computationally robust and fast optimization problem, which is important for on-line applications. Stability is achieved by appropriate introduction of dual-mode type stabilization mechanisms, which are simple and easy to implement. The effectiveness of the proposed approach is tested on a control system of a nonlinear plant-a distillation column with basic feedback controllers.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 127-141
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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