Robust Switching Control Systems with Input Delay

Vojislav FILIPOVIC 
Faculty of Mechanical Engineering, University of Kragujevac
PO Box 126, 15300 Loznica, Serbia

Abstract: This paper uses the concept of multiple models and the concept of switching controllers. The analog part of the system is described by a finite set of continuous-time models with input delays. The continuous-time models include unmodeled dynamics in the form of affine matrix family. By using suitable transformation, the models with input delay are converted into delay free models. Then, by using the LMI tool, the class of robust LQ controllers with the prescribed degree of stability is proposed and for every controller the upper bound for the performance index is given. The switching logic is based on the selection of minimal upper bound from the collection of upper bounds. Finally, it is shown by means of performance dominant conditions, that the resulting closed-loop is stable.

Keywords: Multiple models, Input delay, LMI inequalities, Switching rule, Stability.

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CITE THIS PAPER AS:
Vojislav FILIPOVIC, Robust Switching Control Systems with Input Delay, Studies in Informatics and Control, ISSN 1220-1766, vol. 20 (4), pp. 411-422, 2011. https://doi.org/10.24846/v20i4y201109