IIAE CONFERENCE SYSTEM, The 5th IIAE International Conference on Industrial Application Engineering 2017 (ICIAE2017)

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An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties
Ching-Min Lee, Yi-Ching Huang, Cheng-Chia Kung

Last modified: 2017-02-21

Abstract


In this paper, an observer-based controller design problem for a discrete-time Markovian jumping singular system (DMJSS) with polytopic uncertainties is considered, which is based on a set of necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) for an admissibility analysis problem. A proposed mode dependent observer and a controller can be designed separately via two sets of derived LMI-based synthesis conditions. There are two principal contributions in this paper. One is that a set of strictly LMI-based necessary and sufficient conditions for the admissibility analysis problem for a DMJSS is extended to the case with uncertainties. Another one is that a suitable observer and a controller can be designed independently via two sets of strictly LMI-based synthesis conditions instead of a set of complex algorithm in terms of bilinear or nonconvex inequalities.

Keywords


Observer-Based Control;Markovian Jumping;Singular System

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