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1
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The problems of collision avoidance at sea in the formulation of complex motion principles

100%
Żak B.
International Journal of Applied Mathematics and Computer Science
|
2004
|
tom 14
|
nr 4
503-514
EN
The paper presents a mathematical model of a collision situation for objects afloat based on the rules of a multiple complex motion. It also contains an analysis of the presented model and draws some conclusions from it. The method used to determine the minimum-time control of ships in a situation of colliding with other objects afloat is presented for a mathematical model of a collision situation. It also includes the results of a simulation study conducted by means of this method. A parallel approach of a ship to an encountered object was studied, i.e., a situation generating a critical case which is the collision of two ships.
2
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Comparison of linear control methods for an AMB system

88%
Grega W., Pilat A.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 2
245-255
EN
The contactless nature of active magnetic bearings brings about many advantages over the conventional bearing while industrial real-time applications are often limited by the significant complexity of control algorithms. This paper presents the application of an LQ controller to an active magnetic bearing system (AMB). Two control strategies are presented and compared: local and global. In the first case the rotor is modelled as two separated masses located at the bearing. In the second case rotor stabilization is considered globally as a problem of the rotating rigid body suspended in a magnetic field. The second approach is especially important for high-speed rotating machines. The control performance of both algorithms was analysed using an experimental AMB laboratory system.
3
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Time-varying time-delay estimation for nonlinear systems using neural networks

88%
Tan Y.
International Journal of Applied Mathematics and Computer Science
|
2004
|
tom 14
|
nr 1
63-68
EN
Nonlinear dynamic processes with time-varying time delays can often be encountered in industry. Time-delay estimation for nonlinear dynamic systems with time-varying time delays is an important issue for system identification. In order to estimate the dynamics of a process, a dynamic neural network with an external recurrent structure is applied in the modeling procedure. In the case where a delay is time varying, a useful way is to develop on-line time-delay estimation mechanisms to track the time-delay variation. In this paper, two schemes called direct and indirect time-delay estimators are proposed. The indirect time-delay estimator considers the procedure of time-delay estimation as a nonlinear programming problem. On the other hand, the direct time-delay estimation scheme applies a neural network to construct a time-delay estimator to track the time-varying time-delay. Finally, a numerical example is considered for testing the proposed methods.
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