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    Wyświetlanie 1-11 z 11
    Tytuł:
    Dynamic Algorithm for Linear Quadratic Gaussian Predictive Control
    Autorzy:
    Ordys, A. W.
    Hangstrup, M. E.
    Grimble, M. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911167.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przestrzeń fazowa
    sterowanie wielowymiarowe
    sterowanie predykcyjne
    state-space design
    multivariable control
    linear quadratic Gaussian predictive control
    generalized predictive control
    Opis:
    In this paper, the optimal control law is derived for a multi-variable state-space Linear Quadratic Gaussian Predictive Controller (LQGPC). A dynamic performance index is utilized resulting in an optimal steady-state controller. Knowledge of future reference values is incorporated into the controller design and the solution is derived using the method of Lagrange multipliers. It is shown how the well-known GPC controller can be obtained as a special case of the LQGPC controller design. The important advantage of using the LQGPC framework for designing predictive controllers is that, based on stabilizing properties of LQG control, it enables a systematic approach to selection of the design parameters to yield a stable closed-loop system. The system model considered in this paper can be further extended toalso include direct feed-through and knowledge about future external inputs.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 227-244
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
    Autorzy:
    Tokarzewski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907379.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ singularny
    zera niezmienne
    metoda przestrzeni stanu
    parametry Markova
    singular control systems
    multivariable zeros
    state-space methods
    Markov parameters
    Opis:
    The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system S(E,A,B,C,D) can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization of invariant zeros, based on the Weierstrass-Kronecker canonical form of the system and the first nonzero Markov parameter, is obtained.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 149-159
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Control error dynamic modification as an efficient tool for reduction of effects introduced by actuator constraints
    Autorzy:
    Janiszowski, K. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/907663.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie cyfrowe
    regulacja PID
    wind-up
    actuator constraints
    digital dead-beat control
    PID control
    rate constraints
    state-space control
    saturations at control
    Opis:
    A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence the design of optimal (in a specified sense) digital controller parameters can be separated from actuator constraints. The adaptation of the control algorithm (to actuator constraints) is performed by the transformation of the control error and is equivalent to the introduction of a new, virtual reference value for the control system. An application of this approach is presented through examples of three digital control algorithms: the PID algorithm, the dead-beat controller and the state space controller. In all cases, clear advantages of transients are observed, which yields some general conclusions to the problem of processing actuator constraints in control.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 271-279
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reliable robust path planning with application to mobile robots
    Autorzy:
    Pepy, R.
    Kieffer, M.
    Walter, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/930096.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    analiza interwałowa
    planowanie trajektorii
    sterowanie odporne
    interval analysis
    path planning
    robust control
    state-space models
    Opis:
    This paper is devoted to path planning when the safety of the system considered has to be guaranteed in the presence of bounded uncertainty affecting its model. A new path planner addresses this problem by combining Rapidly-exploring Random Trees (RRT) and a set representation of uncertain states. An idealized algorithm is presented first, before a description of one of its possible implementations, where compact sets are wrapped into boxes. The resulting path planner is then used for nonholonomic path planning in robotics.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 413-424
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State - space control of the drive with PMSM and flexible coupling
    Układ sterowania napędu z PMSM i elastycznym sprzęgłem
    Autorzy:
    Vittek, J.
    Makys, P.
    Pospisil, M.
    Szychta, E.
    Luft, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/224343.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    układ sterowania
    algorytm sterowania
    sprzęgło elastyczne
    control systems
    control vector algorithm
    state-space control
    Opis:
    A control system, which achieves prescribed speed and position responses, for electric drives with a significant torsion vibration mode is presented. Control system design exploits state-space control and forced dynamics control principles. Derived control algorithm respects the vector control condition by keeping the direct axis current component approximately zero as well as controlling the load position with prescribed closed loop dynamics. Set of two observers, one on load side and the second one on motor side, generate all state variables necessary for control algorithm design including torques acting on the motor and load side to satisfy all conditions for achieving prescribed dynamics. This approach eliminates the position sensor on motor side. The simulations confirm that proposed model based position control system can operate with moderate accuracy.
    W artykule zaprezentowano układ sterowania napędami elektrycznymi ze znacznymi drganiami skrętnymi, który umożliwia jako odpowiedzi - określone obroty i położenie. Układ sterowania wykorzystuje opis przestrzeni stanu i zasady wymuszonego sterowania dynamicznego. Zestaw dwóch obserwatorów, jeden po stronie obciążenia, a drugi od strony silnika, wygenerować może wszystkie zmienne stanu niezbędne do projektowania algorytmu sterowania, w tym momenty działające po stronie silnika i obciążenia, spełniające wszystkie warunki niezbędne do osiągnięcia określonej dynamiki. Takie podejście eliminuje stosowanie czujnika położenia od strony silnika. Wyniki symulacji potwierdzają, że proponowany model układu sterowania położenia może pracować z wystarczającą dokładnością.
    Źródło:
    Archives of Transport; 2011, 23, 1; 77-90
    0866-9546
    2300-8830
    Pojawia się w:
    Archives of Transport
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Equivalence of control systems on the Euclidean group SE (2)
    Autorzy:
    Adams, R. M.
    Biggs, R.
    Remsing, C. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/205696.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Left-invariant control system
    state space equivalence
    Euclidean group
    Opis:
    We classify, under (local) state space equivalence, all full-rank left-invariant control affne systems evolving on the Euclidean group SE(2).
    Źródło:
    Control and Cybernetics; 2012, 41, 3; 513-524
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Disturbance modeling and state estimation for offset-free predictive control with state-space process models
    Autorzy:
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/330146.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model predictive control
    state space model
    disturbance rejection
    state observer
    Kalman filter
    sterowanie predykcyjne
    model przestrzeni stanów
    eliminacja zakłóceń
    obserwator stanu
    filtr Kalmana
    Opis:
    Disturbance modeling and design of state estimators for offset-free Model Predictive Control (MPC) with linear state-space process models is considered in the paper for deterministic constant-type external and internal disturbances (modeling errors). The application and importance of constant state disturbance prediction in the state-space MPC controller design is presented. In the case with a measured state, this leads to the control structure without disturbance state observers. In the case with an unmeasured state, a new, simpler MPC controller-observer structure is proposed, with observation of a pure process state only. The structure is not only simpler, but also with less restrictive applicability conditions than the conventional approach with extended process-and-disturbances state estimation. Theoretical analysis of the proposed structure is provided. The design approach is also applied to the case with an augmented state-space model in complete velocity form. The results are illustrated on a 2 x 2 example process problem.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 313-323
    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:
    Optimal control of dynamic systems using a new adjoining cell mapping method with reinforcement learning
    Autorzy:
    Arribas-Navarro, T.
    Prieto, S.
    Plaza, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/205725.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    cells mapping
    state space
    reinforcement learning
    stability
    nonlinear control
    controllability
    Opis:
    This work aims to improve and simplify the procedure used in the Control Adjoining Cell Mapping with Reinforcement Learning (CACM-RL) technique, for the tuning process of an optimal contro ller during the pre-learning stage (controller design), making easier the transition from a simulation environment to the real world. Common problems, encountered when working with CACM-RL, are the adjustment of the cell size and the long-term evolution error. In this sense, the main goal of the new approach, developed for CACM-RL that is proposed in this work (CACMRL*), is to give a response to both problems for helping engineers in defining of the control solution with accuracy and stability criteria instead of cell sizes. The new approach improves the mathematical analysis techniques and reduces the engineering effort during the design phase. In order to demonstrate the behaviour of CACM-RL*, three examples are described to show its application to real problems. In All the examples, CACM-RL* improves with respect to the considered alternatives. In some cases, CACM- RL* improves the average controllability by up to 100%.
    Źródło:
    Control and Cybernetics; 2015, 44, 3; 369-387
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Offset-free nonlinear Model Predictive Control with state-space process models
    Autorzy:
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/229638.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    nonlinear control
    predictive control
    offset-free control
    state-space model
    state estimation
    Opis:
    Offset-free model predictive control (MPC) algorithms for nonlinear state-space process models, with modeling errors and under asymptotically constant external disturbances, is the subject of the paper. The main result of the paper is the presentation of a novel technique based on constant state disturbance prediction. It was introduced originally by the author for linear state-space models and is generalized to the nonlinear case in the paper. First the case with measured state is considered, in this case the technique allows to avoid disturbance estimation at all. For the cases with process outputs measured only and thus the necessity of state estimation, the technique allows the process state estimation only - as opposed to conventional approach of extended process-and-disturbance state estimation. This leads to simpler design with state observer/filter of lower order and, moreover, without the need of a decision of disturbance placement in the model (under certain restrictions), as in the conventional approach. A theoretical analysis of the proposed algorithm is provided, under applicability conditions which are weaker than in the conventional approach. The presented theory is illustrated by simulation results of nonlinear processes, showing competitiveness of the proposed algorithms.
    Źródło:
    Archives of Control Sciences; 2017, 27, 4; 595-615
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hourly identification and simulation of the TGE S.A. Day-Ahead Market system
    Autorzy:
    Marlęga, Radosław
    Tchórzewski, Jerzy R.
    Powiązania:
    https://bibliotekanauki.pl/articles/31342745.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    equations of state
    control system
    Day-Ahead Market
    identification
    Polish Electricity Exchange
    simulation
    state space
    Opis:
    The paper presents selected research results concerning the identification and simulation of the TGE S.A. Day-Ahead Market (DAM) system of the day for electricity delivered and sold, listed for the following hours: 5:01-6:00, 11:01-12:00, 17:01-18:00 and 23:01-24:00 in 2019, which were obtained in the MATLAB and Simulink environment using the System Identification Toolbox. As a result of identification, four respective discrete parametric arx models were obtained, which were then subject to quality assessment. Then, a simulation model was built in the Simulink environment, which was used for simulation tests and for assessing the sensitivity of the model created using the data from 2019 as the basis and the data from 2020 for verification. The obtained results confirm the correctness of both the performed discrete parametric identification and the possibility of testing the quality of the model and its sensitivity with the use of the DAM system model in the MATLAB and Simulink environment.
    Źródło:
    Control and Cybernetics; 2022, 51, 4; 523-555
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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