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Positive realizations with reduced numbers of delays for 2D continuous-discrete linear systems

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2012

Vol. 60, nr 4

835-840

A new method is proposed for determination of positive realizations with reduced numbers of delays of linear 2D continuousdiscrete systems. Sufficient conditions for the existence of the positive realizations of a given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with a greater dimension. The proposed method is demonstrated on a numerical example.

Probabilistic design and tuning of LQ control

Belda K.

Archives of Control Sciences

2009

Vol. 19, no. 4

371-384

Important point of each control design is a selection of suitable weight parameters, that balance various control aims assigned by user. This paper proposes the new way to set control parameters automatically by evaluation of system response in comparison with system model. Considering stochastic nature of real-life applications, fully probabilistic design is used. It employs complex information on controlled system behavior by means of probabilistic description.