TY - JOUR
T1 - Robust stability and controller synthesis of discrete linear switched systems with dwell time
AU - Allerhand, L. I.
AU - Shaked, U.
N1 - Funding Information:
This work was supported by the C&M Maus Chair at Tel Aviv University.
PY - 2012/6/1
Y1 - 2012/6/1
N2 - Sufficient conditions are derived for the robust stability of discrete-time, switched, linear systems with dwell time in the presence of polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, is assigned to each of the subsystems. This function is allowed to be time-varying and piecewise linear during the dwell time and it becomes time invariant afterwards. Asymptotic stability conditions are obtained in terms of linear matrix inequalities for the nominal set of subsystems. These conditions are then extended to the case where the subsystems encounter polytopic type parameter uncertainties. The developed method is applied to l 2-gain analysis where a bounded real lemma is derived, and to H control and estimation, both for the nominal and the uncertain cases.
AB - Sufficient conditions are derived for the robust stability of discrete-time, switched, linear systems with dwell time in the presence of polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, is assigned to each of the subsystems. This function is allowed to be time-varying and piecewise linear during the dwell time and it becomes time invariant afterwards. Asymptotic stability conditions are obtained in terms of linear matrix inequalities for the nominal set of subsystems. These conditions are then extended to the case where the subsystems encounter polytopic type parameter uncertainties. The developed method is applied to l 2-gain analysis where a bounded real lemma is derived, and to H control and estimation, both for the nominal and the uncertain cases.
KW - discrete-time
KW - dwell time
KW - linear switched systems
KW - polytopic uncertainties
UR - http://www.scopus.com/inward/record.url?scp=84862070665&partnerID=8YFLogxK
U2 - 10.1080/00207179.2012.663937
DO - 10.1080/00207179.2012.663937
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AN - SCOPUS:84862070665
SN - 0020-7179
VL - 85
SP - 735
EP - 745
JO - International Journal of Control
JF - International Journal of Control
IS - 6
ER -