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dr inż. Rafał Łangowski
Employment
- Assistant professor at Katedra Inteligentnych Systemów Sterowania i Wspomagania Decyzji
Research fields
- mathematical modelling and identification
- estimation methods
- state observers
- monitoring
- interval observers
- non-linear uncertain systems
- water resource recovery facility
- biochemical processes
- urban wastewater systems
- environmental systems
- drinking water supply and distribution systems
- sliding mode observers
Publications
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total: 32
Catalog Publications
Year 2024
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A hierarchical observer for a non-linear uncertain CSTR model of biochemical processes
PublicationThe problem of estimation of unmeasured state variables and unknown reaction kinetic functions for selected biochemical processes modelled as a continuous stirred tank reactor is addressed in this paper. In particular, a new hierarchical (sequential) state observer is derived to generate stable and robust estimates of the state variables and kinetic functions. The developed hierarchical observer uses an adjusted asymptotic observer...
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Adjusted SpikeProp algorithm for recurrent spiking neural networks with LIF neurons
PublicationA problem related to the development of a supervised learning method for recurrent spiking neural networks is addressed in the paper. The widely used Leaky-Integrate-and-Fire model has been adopted as a spike neuron model. The proposed method is based on a known SpikeProp algorithm. In detail, the developed method enables gradient descent learning of recurrent or multi-layer feedforward spiking neural networks. The research included...
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Robust asymptotic super twisting sliding mode observer for non-linear uncertain biochemical systems
PublicationThe problem of state estimation (reconstruction of the state vector) for a given class of biochemical systems under uncertain system dynamics has been addressed in this paper. In detail, the bioreactor at a water resource recovery facility represents the considered biochemical systems. The biochemical processes taking place in the bioreactor have been modelled using an activated sludge model. Based on this model, an appropriate...
Year 2023
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Respiration rate estimation using non-linear observers in application to wastewater treatment plant
PublicationA problem of respiration rate estimation using two new non-linear observers for a wastewater treatment plant is addressed in this paper. In particular, a non-linear adaptive Luenberger-like observer and a super twisting sliding mode observer have been derived to produce stable and bounded estimates of the respiration rate. During the synthesis of the particular observer, an appropriate mathematical utility model was used. The observability...
Year 2022
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A robust sliding mode observer for non-linear uncertain biochemical systems
PublicationA problem of state estimation for a certain class of non-linear uncertain systems has been addressed in this paper. In particular, a sliding mode observer has been derived to produce robust and stable estimates of the state variables. The stability and robustness of the proposed sliding mode observer have been investigated under parametric and unstructured uncertainty in the system dynamics. In order to ensure an unambiguous non-linear...
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An analysis of observability and detectability for different sets of measured outputs - CSTR case study
PublicationA problem of proving the observability/detectability at a given measured output for non-linear biochemical systems has been addressed in this paper. A theory of indistinguishable state trajectories has been used to prove the properties of the observability or detectability of this system. It is related to taking system dynamics into consideration depending on initial conditions and the impact of inputs taking into account a given...
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An automatic selection of optimal recurrent neural network architecture for processes dynamics modelling purposes
PublicationA problem related to the development of algorithms designed to find the structure of artificial neural network used for behavioural (black-box) modelling of selected dynamic processes has been addressed in this paper. The research has included four original proposals of algorithms dedicated to neural network architecture search. Algorithms have been based on well-known optimisation techniques such as evolutionary algorithms and...
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An observability and detectability analysis for non-linear uncertain CSTR model of biochemical processes
PublicationThe problem of proving observability/detectability properties for selected non-linear uncertain model of biochemical processes has been addressed in this paper. In particular, the analysis of observability/detectability in the face of parametric and unstructured uncertainty in system dynamics transformed into unknown inputs, and unknown initial conditions has been performed. Various sets of system measured outputs were taken into...
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Estimation of the angular position of a two-wheeled balancing robot using a real IMU with selected filters
PublicationA low-cost measurement system using filtering of measurements for two-wheeled balancing robot stabilisation purposes has been addressed in this paper. In particular, a measurement system based on gyroscope, accelerometer, and encoder has been considered. The measurements have been corrected for deterministic disturbances and then filtered with Kalman, α-β type, and complementary filters. A quantitative assessment of selected filters...
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Neural modelling of dynamic systems with time delays based on an adjusted NEAT algorithm
PublicationA problem related to the development of an algorithm designed to find an architecture of artificial neural network used for black-box modelling of dynamic systems with time delays has been addressed in this paper. The proposed algorithm is based on a well-known NeuroEvolution of Augmenting Topologies (NEAT) algorithm. The NEAT algorithm has been adjusted by allowing additional connections within an artificial neural network and...
Year 2021
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A case study of robust sliding mode control applied to inverted pendulum on a cart
PublicationA control problem of an inverted pendulum on a cart has been addressed in this paper. In particular, a synthesis of alternative sliding mode control for stabilisation of an inverted pendulum at an upper equilibrium point has been investigated. Hence, the feasibility of implementing the developed control system, taking into account primarily the friction of the cart against the gantry and the limited length of the gantry, in a real...
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A selection of PID type controller settings via LQR approach for two-wheeled balancing robot
PublicationThe problem of PID type controller tuning has been addressed in this paper. In particular, a method of selection of PD settings based on the solution of linear–quadratic optimisation problem using the energy criterion has been investigated. Thus, the possibility of transforming optimal settings of the linear–quadratic regulator into the settings of the controller in the classical control system has been given. The presented methodology...
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On the problem of optimised allocation of water quality sensors and actuators in DWDS
PublicationThe problems of water quality sensors and actuators placement in drinking water distribution systems (DWDSs) are addressed as separate, primarily. However, against the background of control systems theory, the nature of DWDSs dynamics indicates that these both problems are interdependent and impact the design of related water quality monitoring and control structures and algorithms. The research work presented in this paper is...
Year 2020
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An Automatic Self-Tuning Control System Design for an Inverted Pendulum
PublicationA control problem of an inverted pendulum in the presence of parametric uncertainty has been investigated in this paper. In particular, synthesis and implementation of an automatic self-tuning regulator for a real inverted pendulum have been given. The main cores of the control system are a swing-up control method and a stabilisation regulator. The first one is based on the energy of an inverted pendulum, whereas the second one...
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Proces zmiany sprzedawcy energii elektrycznej w Polsce dla odbiorcy w gospodarstwie domowym
PublicationW publikacji przedstawiono proces zmiany sprzedawcy energii elektrycznej dla odbiorcy w gospodarstwie domowym, prowadzony w detalicznym segmencie rynku energii. Szczególny nacisk położono na proces bazujący na generalnej umowie dystrybucji dla usługi kompleksowej. Odniesiono się do wszystkich, istotnych regulacji mających zastosowanie do poruszanych kwestii, ze szczególnym uwzględnieniem zapisów instrukcji ruchu i eksploatacji...
Year 2019
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A comprehensive approach to double inverted pendulum modelling
PublicationThe problem of mathematical modelling and indication of properties of a DIP has been investigated in this paper. The aim of this work is to aggregate the knowledge on a DIP modelling using the Euler-Lagrange formalism in the presence of external forces and friction. To indicate the main properties important for simulation, model parameters identification and control system synthesis, analytical and numerical tools have been used....
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Metody strojenia regulatorów typu PID z wykorzystaniem technologii syntezy regulatorów od stanu
PublicationUkłady sterujące typu PID są jednymi z najbardziej popularnych regulatorów wykorzystywanych w układach regulacji. W związku z tym znanych jest szereg metod doboru wartości ich parametrów (nastaw). Obok różnych metod inżynierskich czy analitycznych strojenia tego typu regulatorów, dostępne są również podejścia bazujące na optymalizacji. Wskaźnikiem jakości znajdującym w nich zastosowanie jest np. całka z kwadratu uchybu. W artykule...
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Projekt systemu sterowania dwukołowym robotem balansującym
PublicationW niniejszym artykule rozważony został problem sterowania dwukołowym robotem balansującym. Celem zaprezentowanych prac było zaprojektowanie systemu sterowania tego typu obiektem z wykorzystaniem metod nowoczesnej teorii sterowania. W ramach syntezy, bazując na wyprowadzonym w oparciu o zasady dynamiki Newtona modelu, dobrana została struktura systemu sterowania w postaci regulatora wykorzystującego sprzężenie zwrotne od stanu oraz...
Year 2018
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An optimised placement of the hard quality sensors for a robust monitoring of the chlorine concentration in drinking water distribution systems
PublicationThe problem of an optimised placement of the hard quality sensors in drinking water distribution systemsunder several water demand scenarios for a robust monitoring of the chlorine concentration is formulatedin this paper. The optimality is understood as achieving a desired trade off between the sensors and theirmaintenance costs and the accuracy of estimation of the chlorine concentration. The contribution of thiswork is a comprehensive...
Year 2017
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An interval estimator for chlorine monitoring in drinking water distribution systems under uncertain system dynamics, inputs and chlorine concentration measurement errors
PublicationThe design of an interval observer for estimation of unmeasured state variables with application to drinking water distribution systems is described. In particular, the design process of such an observer is considered for estimation of the water quality described by the concentration of free chlorine. The interval observer is derived to produce the robust interval bounds on the estimated water quality state variables. The stability...
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Electricity Supplier Switching Process in Poland – a Process Based on the General Distribution Agreement
PublicationPoland, as a Member State of the European Union, is committed to respect the common rules on the electricity market, among other things. One of the most important examples of these regulations is the perception of energy as a commodity subject to competitive market mechanisms. Competitive processes introduced in the national electricity market enable energy consumers, i.a., choice of electricity supplier under the TPA formula....
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Procedura zmiany sprzedawcy energii elektrycznej w Polsce
PublicationOstatnie kilkanaście lat w polskiej energetyce to okres dynamicznych zmian. Jednym z istotnych przykładów tych przemian jest liberalizacja rynku energii. Wprowadzone, w krajowej energetyce, mechanizmy rynku konkurencyjnego umożliwiają odbiorcom energii m.in. swobodny wybór sprzedawcy energii elektrycznej w formule TPA. W artykule przedstawiony został proces zmiany sprzedawcy bazujący na generalnej umowie dystrybucji (GUD). Odniesiono...
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Proces zmiany sprzedawcy energii elektrycznej w Polsce
PublicationOstatnie kilkanaście lat w polskiej energetyce to okres dynamicznych zmian. Jednym z istotnych przykładów tych przemian jest liberalizacja rynku energii. Wprowadzone, w krajowej energetyce, mechanizmy rynku konkurencyjnego umożliwiają odbiorcom energii m.in. swobodny wybór sprzedawcy energii elektrycznej w formule TPA. W artykule przedstawiony został proces zmiany sprzedawcy bazujący na generalnej umowie dystrybucji (GUD). W trakcie...
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Zmiana sprzedawcy energii elektrycznej w Polsce – proces bazujący na generalnej umowie dystrybucji
PublicationPolska jako państwo członkowskie Unii Europejskiej zobowiązała się m.in. do przestrzegania wspólnych zasad dotyczących rynku energii elektrycznej. Jednym z istotnych przykładów tych regulacji jest postrzeganie energii jako towaru podlegającego mechanizmom rynku konkurencyjnego. Wprowadzone w krajowej energetyce procesy rynku konkurencyjnego umożliwiają odbiorcom energii m.in. swobodny wybór sprzedawcy energii w formule TPA. To...
Year 2016
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ZMIANA SPRZEDAWCY ENERGII ELEKTRYCZNEJ - UWARUNKOWANIA RYNKOWE W POLSCE
PublicationPrzystąpienie Polski do Unii Europejskiej stało się niewątpliwie dodatkowym impulsem do zintensyfikowania działań na rzecz liberalizacji polskiego rynku energii elektrycznej. Wprowadzone mechanizmy rynku konkurencyjnego umożliwiają odbiorcom energii m. in. swobodny wybór sprzedawcy energii elektrycznej w formule TPA. To fundamentalne prawo odbiorców, zakorzenione w krajowym rynku energii od ponad 8 lat, nadal budzi szereg wątpliwości....
Year 2012
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Optimised Robust Placement of Hard Quality Sensors for Robust Monitoring of Quality in Drinking Water Distribution Systems
PublicationA problem of optimised robust placement of the hard quality sensors in Drinking Water Distribution Systems under several water demand scenarios for robust quality monitoring is formulated. Numerical algorithms to solve the problem are derived. The optimality is meant as achieving at the same time a desired trade off between the sensor capital and maintenance costs and resulting robust estimation accuracy of the monitoring algorithm...
Year 2010
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Optimised Allocation of Hard Quality Sensors for Robust Monitoring of Quality in Drinking Water Distribution Systems
PublicationA problem of optimised placement of the hard quality sensors in Drinking Water Distribution Systems for robust quality monitoring is formulated. Two numerical algorithms to solve the problem are derived. The optimality is meant as achieving a desired trade off between the sensor capital and maintenance costs and resulting robust estimation accuracy of the monitoring algorithm. The robust estimation algorithm recently developed...
Year 2008
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Interval estimator for chlorine monitoring in drinking water distribution systems under uncertain system dynamics, inputs and state measurement errors
PublicationThe design of interval observer for estimation of unmeasured state variables for application to drinking water distribution systems is described in this paper. In particular, it considers the design of such observer for estimation of water quality described by free chlorine concentration. An interval observer is derived to produce robust interval bounds on the estimated water quality state variables. The stability and robustness...
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Monitorowanie stężenia chloru w SDWP - estymator przedziałowy
PublicationEfektywne prowadzenie procesu dystrybucji wody pitnej wymaga posiadania wiedzy o stanie systemu. Jest ona dostarczana przez system monitorowania. Proces dystrybucji wody pitnej wymaga uwzględnienia zarówno aspektów hydraulicznych (dostarczenie do odbiorców żądanej ilości wody), jak i jakościowych (dostarczona do odbiorców woda musi spełniać wymagania jakościowe).
Year 2007
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Monitoring of Chlorine Concentration in Drinking Water Distribution Systems Using an Interval Estimator
PublicationThis paper describes the design of an interval observer for the estimation of unmeasured quality state variables in drinking water distribution systems. The estimator utilizes a set bounded model of uncertainty to produce robust interval bounds on the estimated state variables of the water quality. The bounds are generated by solving two differential equations. Hence the numerical efficiency is sufficient for on-line monitoring...
Year 2005
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Opomiarowanie w nowoczesnej oczyszczalni ścieków
PublicationArtykuł jest kolejną publikacja cyklu prezentującego wyniki projektu 5. Programu Ramowego UE ''SMArt Control of wastewater systems - SMAC''. W ramach tego projektu zaproponowano nową koncepcję sterowania biologiczną oczyszczalnią ścieków (OŚ)oraz opracowano nową strukturę i algorytmy sterowania. Wyniki projektu zostały zaimplementowane w pilotażowej oczyszczalni w Kartuzach.
Year 2004
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Supervisory control of integrated wastewater treatment systems.
PublicationSterowanie zintegrowanym systemem oczyszczania ścieków (sieć kanalizacyjna- oczyszczalnia ścieków), w pełnym zakresie jego obciążeń wymaga zastosowania zaawansowanych algorytmów sterowania optymalizującego. System sterowania jest hierarchicznie zdekomponowany, tworząc wielopoziomową-wielowarstwową. Główną technologią sterowania sterowanie predykcyjne (MPC). Nie jest możliwe wystarczająco efektywne sterowanie takim systemem we wszystkich...
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