TY - GEN
T1 - Robust control of switched linear systems with dwell time
AU - Allerhand, Liron I.
AU - Shaked, Uri
PY - 2010
Y1 - 2010
N2 - The problem of robust H∞ control of uncertain linear switched system with dwell time is addressed. A Lyapunov function in a quadratic form, which is non-increasing at the switching instances, is assigned to each subsystem. This function is used to determine the stability and the L 2 -gain of the switched system, where a bounded real lemma (BRL) is derived that provides an upper-bound to the system L2 -gain over the uncertainty polytope. The obtained results are used to solve the corresponding problem of robust H∞ state-feedback control for cases where the switching signal is either measured online, or is unknown. A numerical example is given which demonstrates the applicability of the theory developed to the control of switched systems.
AB - The problem of robust H∞ control of uncertain linear switched system with dwell time is addressed. A Lyapunov function in a quadratic form, which is non-increasing at the switching instances, is assigned to each subsystem. This function is used to determine the stability and the L 2 -gain of the switched system, where a bounded real lemma (BRL) is derived that provides an upper-bound to the system L2 -gain over the uncertainty polytope. The obtained results are used to solve the corresponding problem of robust H∞ state-feedback control for cases where the switching signal is either measured online, or is unknown. A numerical example is given which demonstrates the applicability of the theory developed to the control of switched systems.
UR - http://www.scopus.com/inward/record.url?scp=78651232292&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2010.5661958
DO - 10.1109/EEEI.2010.5661958
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AN - SCOPUS:78651232292
SN - 9781424486809
T3 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
SP - 198
EP - 201
BT - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
T2 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Y2 - 17 November 2010 through 20 November 2010
ER -