Exact tensor product distributed compensation based stabilization of the TORA system

Authors:
Peter Baranyi;Peter L. Varkonyi
Affiliations:
Computer and Automation Research Inst., Cognitive Vision Systems Laboratory, Budapest, Hungary;Computer and Automation Research Inst., Cognitive Vision Systems Laboratory, Budapest, Hungary
Venue:
CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control
Year:
2005

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Abstract

This paper presents a case study of the TPDC (Tensor Product Distributed Compensation) based control design framework in the stabilization issue of the Translational Oscillator with an eccentric Rotational proof mass Actuator (TORA). First we execute TP model transformation on the linear parameter varying (LPV) model of the TORA to yield its exact TP model representation. As a second step, we substitute the components of the TP model into linear matrix inequalities to derive a controller that guaranties asymptotic stability. We show that the TPDC can be uniformly executed on a large class of LPV models and is capable of involving further control performances beyond stability.