Bialystok, Poland

Bialystok Technical University

pb.edu.pl
Bialystok, Poland

Time filter

Source Type

Kaczorek T.,Bialystok Technical University
International Journal of Applied Mathematics and Computer Science | Year: 2011

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.


Kaczorek T.,Bialystok Technical University
International Journal of Applied Mathematics and Computer Science | Year: 2011

A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains at least one mesh consisting of branches only with an ideal supercapacitor and voltage sources or at least one node with branches with supercoils.


Kownacki C.,Bialystok Technical University
Digital Signal Processing: A Review Journal | Year: 2011

A problem of accelerometer and gyroscope signals' filtering is discussed in the paper. Triple-axis accelerometer and three single-axis gyroscopes are the elements of strapdown system measuring head. Effective noise filtration impacts on measured signal reliability and the computation precision of moving object position and orientation. The investigations were carried out to apply Kalman filter in a real-time application of acceleration and angular rate signals filtering. The filter parameter adjusting is the most important task of the investigation, because of unknown accuracy of the measuring head and unavailability of precisely known model of the system and the measurement. Results of calculations presented in the paper describe relation between filter parameters and two assumed criterions of filtering quality: output signal noise level and filter response rate. The aim of investigation was to achieve and find values of the parameters which make Kalman filter useful in the real-time application of acceleration and angular rate signals filtering. © 2010 Elsevier Inc. All rights reserved.


Kaczorek T.,Bialystok Technical University
International Journal of Applied Mathematics and Computer Science | Year: 2012

The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.


Kaczorek T.,Bialystok Technical University
International Journal of Applied Mathematics and Computer Science | Year: 2013

The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.


Kaczorek T.,Bialystok Technical University
International Journal of Applied Mathematics and Computer Science | Year: 2013

The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.


Zukowski M.,Bialystok Technical University
International Journal of Heat and Mass Transfer | Year: 2013

In the present work, results of an experimental study are shown. The aim of the study was to determine the thermal performance of a confined impinging slot jet of air. Influence of nozzle width B, Reynolds number and nozzle to plate spacing H/B on the Nusselt number was investigated. Graphs showing lateral variation of the local Nusselt number on the impinging surface for selected experimental runs are presented. The results of the investigations shall help to develop an optimal model of air solar collector, the construction of which uses impinging slot jets. The Lx parameter that allows to determine the region with increased intensity of heat transfer was introduced. Mean Nusselt number Nu Lx for this region was determined. For both parameters, correlation functions of Reynolds number, B and H/B were developed using multiple regression method. In the article, graphs that allow assessment of statistical analysis quality are presented. © 2012 Elsevier Ltd. All rights reserved.


Kaczorek T.,Bialystok Technical University
Asian Journal of Control | Year: 2010

A new concept of the practical stability of the positive fractional 2D linear systems is proposed. Necessary and sufficient conditions for the practical stability and the asymptotic stability of the positive fractional 2D systems are established. It is shown that the checking of the practical stability and the asymptotic stability of positive fractional 2D linear systems can be reduced to testing the stability of corresponding ID positive linear systems. © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society.


Adamski M.,Bialystok Technical University
Energy and Buildings | Year: 2010

A new kind of longitudinal flow spiral recuperator for the heat recovery in ventilation systems of buildings was studied experimentally and analytically. The aim of this work is to analyze the possibility of using air handling units with new type of spiral recuperator in order to recover heat in ventilation systems of buildings. For the reason that the air flows are parallel to the symmetry axis of the longitudinal flow spiral recuperator, in this unit pressure drops are smaller than in commonly known spiral exchangers. Because of the counter flow, a greater value of thermal effectiveness ε is reached for the same value of the number of transfer units in comparison to cross-flow recuperators. The exploitation of the new type of spiral recuperator in winter periods brings significant savings. The results obtained from computations are very encouraging for a widespread use of these devices. © 2009 Elsevier B.V.


Grant
Agency: European Commission | Branch: FP7 | Program: CP-FP | Phase: AAT-2007-1.1-01;AAT-2007-4.2-01 | Award Amount: 4.56M | Year: 2008

ACFA 2020 deals with innovative active control concepts for ultra efficient 2020 aircraft configurations like the blended wing body (BWB) aircraft. The objective of the designed controllers is an ambitious improvement of ride comfort and handling qualities, as well as load reduction on BWB type aircraft. Due to the unconventional placement of control surfaces, BWB type aircrafts require multi-channel control architectures for manoeuvres as well as for active rigid body and vibration control. This is regarded as technology step compared to state-of-the-art single-channel controllers generally used for conventional aircraft configurations. Moreover promising algorithms such as adaptive feed-forward control and neural network control for active control of BWB type aircrafts will be investigated in ACFA 2020. These multi-channel algorithms will be applied to the large flying wing aircraft designed in the VELA and NACRE project as well as to a newly designed ultra efficient 450 passenger aircraft. For this 450 passenger aircraft design a flying wing and an ultra wide body fuselage aircraft with carry-through wing box will be compared and the configuration which promises highest efficiency with respect to fuel burn will be retained for a more detailed design. Based on the attained loads reduction due to the developed active control systems, the structure of this new 450 passenger aircraft will be resized with the goal of an ambitious weight saving for further improvement of fuel efficiency. To summarise, the main objectives of ACFA 2020 are to provide robust as well as adaptive multi-channel control architectures for loads alleviation and improvement of ride comfort and handling qualities on BWB type aircrafts, as well as the design of a new ultra efficient 450 passenger BWB type aircraft.

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