Applied sciences

Archives of Control Sciences

Content

Archives of Control Sciences | 2015 | No 3 |

Abstract

Abstract In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix
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Abstract

Abstract Distribution optimization of elastic material under elastic isotropic rectangular thin plate subjected to concentrated moving load is investigated in the present paper. The aim of optimization is to damp its vibrations in finite (fixed) time. Accepting Kirchhoff hypothesis with respect to the plate and Winkler hypothesis with respect to the base, the mathematical model of the problem is constructed as two-dimensional bilinear equation, i.e. linear in state and control function. The maximal quantity of the base material is taken as optimality criterion to be minimized. The Fourier distributional transform and the Bubnov-Galerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of two- dimensional Heaviside‘s function is obtained, describing piecewise-continuous distribution of the material. The determination of the switching points is reduced to a problem of nonlinear programming. Data from numerical analysis are presented.
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Abstract

Abstract A fusion hierarchical state filtration with k−step delay sharing pattern for a multisensor system is considered. A global state estimate depends on local state estimates determined by local nodes using local information. Local available information consists of local measurements and k−step delay global information - global estimate sent from a central node. Local estimates are transmitted to the central node to be fused. The synthesis of local and global filters is presented. It is shown that a fusion filtration with k−step delay sharing pattern is equivalent to the optimal centralized classical Kalman filtration when local measurements are transmitted to the center node and used to determine a global state estimate. It is proved that the k−step delay sharing pattern can reduce covariances of local state errors.
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Abstract

Abstract A new formulation of the minimum energy control problem for the positive 2D continuous-discrete linear systems with bounded inputs is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy control problem and a procedure for computation of an input minimizing the given performance index are given. Effectiveness of the procedure is demonstrated on numerical example.
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Abstract

Abstract First, this paper announces a seven-term novel 3-D conservative chaotic system with four quadratic nonlinearities. The conservative chaotic systems are characterized by the important property that they are volume conserving. The phase portraits of the novel conservative chaotic system are displayed and the mathematical properties are discussed. An important property of the proposed novel chaotic system is that it has no equilibrium point. Hence, it displays hidden chaotic attractors. The Lyapunov exponents of the novel conservative chaotic system are obtained as L1 = 0.0395,L2 = 0 and L3 = −0.0395. The Kaplan-Yorke dimension of the novel conservative chaotic system is DKY =3. Next, an adaptive controller is designed to globally stabilize the novel conservative chaotic system with unknown parameters. Moreover, an adaptive controller is also designed to achieve global chaos synchronization of the identical conservative chaotic systems with unknown parameters. MATLAB simulations have been depicted to illustrate the phase portraits of the novel conservative chaotic system and also the adaptive control results.
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Abstract

Abstract A new approach to solving realistic car assembly scheduling problems for mixed model assembly line is presented. It is proposed to decompose the problem into two subproblems: 1) a sequencing problem that generates admissible car sequences fulfilling capacity constraints for all car models in the production plan, 2) a scheduling problem that determines an admissible car sequence with shortest makespan. The details of this approach are illustrated by a simple numerical example.
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Abstract

Abstract A Constraint Logic Programming (CLP) tool for solving the problem discussed in Part 1 of the paper has been designed. It is outlined and discussed in the paper. The program has been used for solving a real-world car assembly scheduling problem.
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Abstract

Abstract A new type Fuzzy Inference System is proposed, a Probabilistic Fuzzy Inference system which model and minimizes the effects of statistical uncertainties. The blend of two different concepts, degree of truth and probability of truth in a unique framework leads to this new concept. This combination is carried out both in Fuzzy sets and Fuzzy rules, which gives rise to Probabilistic Fuzzy Sets and Probabilistic Fuzzy Rules. Introducing these probabilistic elements, a distinctive probabilistic fuzzy inference system is developed and this involves fuzzification, inference and output processing. This integrated approach accounts for all of the uncertainty like rule uncertainties and measurement uncertainties present in the systems and has led to the design which performs optimally after training. In this paper a Probabilistic Fuzzy Inference System is applied for modeling and control of a highly nonlinear, unstable system and also proved its effectiveness.
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Editorial office

Editor-in-Chief prof. dr hab. inż. Andrzej Świerniak

Deputy/ Managing Editor
Zbigniew Ogonowski, Silesian University of Technology, Gliwice, Poland

Editorial Advisory Board

Andrzej Bargiela, University of Nottingham, UK
Roman Barták, Charles University, Prague, Czech Rep.
Jacek Błażewicz, Poznań University of Technology, Poland
Reggie Davidrajuh, University of Stavanger, Norway
Andreas Deutsch, Technische Universität Dresden, Germany
Moritz Diehl, University of Freiburg, Germany
Władysław Findeisen, Warsaw University of Technology, Poland
Marcelo D.Fragoso, LNCC/MCT, Rio de Janeiro, Brasil
Avner Friedman, MBI Ohio State University, Columbus, USA
Alberto Gandolfi, IASI, Rome, Italy
Ryszard Gessing, Silesian University of Technology, Gliwice, Poland
Henryk Górecki, AGH University of Science and Technology, Poland
David Greenhalgh, University of Strathclyde, Glasgow, UK
Mats Gyllenberg, University of Helsinki, Finland
Wassim M. Haddad, Georigia University, Atlanta, USA
Raimo P. Hämäläinen, Aalto University School of Science, Finland
Alberto Isidori, Università di Roma "La Sapienza" Italia
Laszlo Kevicky, Hungarian Academy of Sciences, Hungary
Marek Kimmel, Rice University Houston, USA
Jerzy Klamka, Silesian University of Technology, Gliwice, Poland
Józef Korbicz, University of Zielona Góra, Poland
Irena Lasiecka, University of Virginia, USA
Urszula Ledzewicz, Southern Illinois University at Edwardsville, USA
Magdi S Mahmoud, KFUM, Dahram, Saudi Arabia
Krzysztof Malinowski, Warsaw University of Technology, Poland
Wojciech Mitkowski, AGH University of Science and Technology, Poland
Bozenna Pasik-Duncan, University of Kansas, Lawrence, USA
Ian Postlethwaite, Newcastle University, Newcastle, UK
Eric Rogers, University of Southampton, UK
Heinz Schaettler, Washington University, St Louis, USA
Ryszard Tadeusiewicz, AGH University of Science and Technology, Poland
Jan Węglarz, Poznań University of Technology, Poland
Liu Yungang, Shandong University, PRC
Valery D. Yurkevich, Novosibirsk State Technical University, Russia

Contact

Institute of Automatic Control
Silesian University of Technology
Akademicka 16
44-101 Gliwice, Poland

acs@polsl.pl
http://acs.polsl.pl/

 

 

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Zbigniew Ogonowski
Institute of Automatic Control
Silesian University of Technology
Akademicka 16
44-101 Gliwice, Poland

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