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EN
In this paper, fuzzy models with orthonormal basis functions (OBF) framework are employed for modeling the nonlinear dynamics of biological treatment processes. These models are consisting of a linear part describing the system dynamics (Laguerre filters) followed by a non-linear static part (fuzzy system). The training procedure contains of two main steps: 1) obtaining the optimum time-scale and the order of truncated Laguerre network as the linear part and 2) defining membership functions, corresponding rules and adjusting the consequent parameters of fuzzy system as the nonlinear part. A comparison between the responses of the developed model and the original plant was performed in order to validate the accuracy of the developed model.
EN
This paper presents a methodology for modeling the Wiener, Hammerstein and feedback-nonlinear systems via orthonormal basis and radial basis functions. The approach is computationally effective, in particular, in terms of elimination of the disastrous bilinearity effect due to the use of regular or inverse orthonormal basis functions to model the linear dynamic block. Scaling parameters of orthonormal basis and radial basis functions are updated recursively using the stochastic gradient method. The modeling of a nonlinear static block with radial basis functions is particularly recommended for the Hammerstein and feedback-nonlinear systems. A simulation study for the magnetic levitation process confirms the attractiveness of the approach.
EN
This paper reviews a variety of problems related to modeling and identification of a BP-1150 boiler proper operating at the "Opole" Electric Power Station. Firstly, we recall a mathematical model based on physical equations governing the process and leading to transfer function descriptions of the boiler proper. Secondly, we refer to new algorithms for frequency-domain identification of the plant. Thirdly, we develop a strategy for effective on-line identification of the plant considered as a classical, linear time-varying multi-input multi-output system. Finally, we present a new methodology for on-line identification of the boiler proper treated as a complex-structure (or interconnected) system.
PL
Artykuł przedstawia nowe zastosowania funkcji bazy ortonormalnej (ang. orhonormal basis functions - OBF) w zadaniu adaptacyjnego tłumienia szumów. Krótko podano zasady modelowania liniowych systemów dynamicznych z wykorzystaniem OBF. Została również przedstawiona koncepcja modelowania odwrotnego OBF (wprowadzona przez autorów). Poddano analizie porównawczej metody adaptacyjnego tłumienia szumów za pomocą filtrów Laguerre'a, Kautza, odwrotnego filtra Laguerre'a oraz FIR. Przeprowadzono szereg eksperymentów identyfikacyjnych demonstrujących właściwości adaptacyjnego tłumienia zakłóceń. Pokazano, że jakość tłumienia zakłóceń zależy od 1) rodzaju dynamiki modelowanych filtrów, 2) specyfiki użytego modelu filtra oraz 3) stosunku poziomu szumu wejściowego do wyjściowego.
EN
The paper presents a new application of Laguerre filters and inverse Laguerre filters in adaptive noise cancellation. An orthonormal basis function approach to modeling of linear dynamical systems is outlined. The inverse OBF modeling concept (introduced by the authors) is also recalled. Laguerre, Kautz, inverse Laguerre and FIR filters are comparatively applied in the problem of adaptive noise cancellation. In a series of simulation experiments it is demonstrated that the performance of the noise cancellation system for the above filter models is dependent on 1) a type of dynamics of the filter involved, 2) a specific filter model used and 3) a ratio of input-to-output noise. Laguerre and Kautz models are particularly recommended in the task of adaptive noise cancellation.
5
Content available remote Ehmac - a New Simple Tool for Robust Linear Multivariable Control
EN
A combination of long range predictive control-originated EHPC and internal model control-structured MAC is shown to produce a new, simple but effective Extended Horizon Model Algorithmic Control (EHMAC). The EHMAC strategy can be used to robustly control open-loop stable non-minimum phase (possibly non-square) MIMO systems under very large model-plant mismatches. Robust EHMAC design is made straightforward by means of a separate selection of a single prediction horizon and an IMC filter parameter, which can be easily auto-tuned.
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