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Quadratic Stabilizability for Polytopic Uncertain Switched Linear Systems via Switched Observer
Author(s) -
Soga T.,
Otsuka N.
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.766
Subject(s) - quadratic growth , control theory (sociology) , observer (physics) , mathematics , linear system , quadratic equation , vertex (graph theory) , computer science , control (management) , combinatorics , algorithm , mathematical analysis , graph , physics , geometry , quantum mechanics , artificial intelligence
In this paper, we study a quadratic stabilizability problem via switched observer for uncertain continuous‐time switched linear systems in the sense that the subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous‐time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via switched observer are given under the assumption that output matrices of subsystems have no uncertainties. Further, a numerical example is also investigated.