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State and output feedback H ∞ control of time‐delay switched linear systems
Author(s) -
Galbusera Luca,
Bolzern Paolo,
Deaecto Grace S.,
Geromel José C.
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1777
Subject(s) - control theory (sociology) , state (computer science) , control (management) , set (abstract data type) , computer science , linear system , quadratic equation , piecewise , construct (python library) , lyapunov function , mathematics , mathematical optimization , nonlinear system , algorithm , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence , programming language
SUMMARY In this paper, we propose contributions on the stabilization andH ∞control of switched linear systems subject to time‐delays through the assignment of the switching law. As a first step, based on previous results related to switched linear systems with no time‐delays and exploiting the concept of piecewise quadratic Lyapunov–Krasovskii functionals, we solve the problem of finding suitable state‐dependent switching laws ensuring the prescribed control objectives. Secondly, we extend such results and present a strategy to construct an output feedback switching law, based on the available measurements made on the system. In both cases, the design of the control strategy is done by computing a feasible solution to a set of matrix inequalities associated to the modes of the switched linear system. Copyright © 2011 John Wiley & Sons, Ltd.