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LMI‐based stability analysis of linear hybrid systems with application to switched control of a refrigeration process
Author(s) -
Cai Chaohong,
Mijanovic Stevo
Publication year - 2012
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.239
Subject(s) - control theory (sociology) , dwell time , controller (irrigation) , hybrid system , linear system , linear matrix inequality , exponential stability , process (computing) , stability (learning theory) , constructive , lyapunov function , state (computer science) , control (management) , computer science , mathematics , mathematical optimization , nonlinear system , algorithm , mathematical analysis , medicine , clinical psychology , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , operating system
We consider continuous‐time switched linear systems associated with linear state reset during mode switches, which are called linear hybrid systems and can be commonly found in switched control systems via bumpless transfer during controller switches. We use a multiple Lyapunov functions approach to develop constructive tools for stability analysis of linear hybrid systems. In particular, we derive a linear‐matrix‐inequalities based procedure to compute upper bounds of dwell time for uniform global exponential stability in linear hybrid systems, and we apply it to a refrigeration process that is regulated by several switched proportional‐integral controllers via bumpless transfer.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society