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optimisation and fixed poles of multivariable sampled-data systems with delay
Ist Teil von
International journal of control, 2015-04, Vol.88 (4), p.815-831
Ort / Verlag
Abingdon: Taylor & Francis
Erscheinungsjahr
2015
Quelle
Taylor & Francis
Beschreibungen/Notizen
Using the parametric transfer matrix (PTM) of sampled-data (SD) systems with pure time delay, the paper generalises the polynomial method for solving the
-optimisation problem to the multiple-input multiple-output (MIMO) case. The generalisation is not only a formal act, because in the MIMO case, the PTM method leads to a minimisation problem for a singular quadratic functional, which is connected with honest technical difficulties. Therefore, the paper introduces a special transformation to overcome these difficulties. Some general properties of
-optimal SD systems with delay are investigated. Notice that there always exists a subset of so-called fixed poles, which is responsible for a principal performance restriction of the
-optimal control loop.