State space multiple leaves for linear time -varying systems and attempting sliding mode controllers: learning from experiment and theory

Authors:
Stanislaw Tarasiewicz
Affiliations:
Department of Mechanical Engineering, Faculty of Science and Engineering, Québec, Canada
Venue:
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
Year:
2006

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Abstract

This paper, introduces some analysis tools for LTVS. It first presents work on on-line identification of a class of complex system. This class of systems is represented by a mechatronic point of view: communication, calculation, visualization, linking and state-plan trajectories mapping. For the case in which both calculation and visualization processes are used, these identification procedures show which type of the state-plan is more attractive for a KC (or KR) parameter. To complete the on-line identification, this article presents an original interpretation of the sliding mode's theorem, extending it to the case of multiple leaves state-plan (or state-space), allowing limit of short-time instability analysis.