TY - GEN
T1 - Sampled-data control of LTI systems with relays
T2 - 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
AU - Hetel, Laurentiu
AU - Fridman, Emilia
AU - Floquet, Thierry
N1 - Funding Information:
The research leading to these results has received funding from the European Community’s 7th Framework Program (FP7/2007-2013) (grant agreement No 257462) HYCON2 Network of Excellence, the Interreg IV A 2 Mers Seas Zeeen program SYSIASS and Israel Science Foundation (grant No 754/10). Corresponding author: Laurentiu Hetel (e-mail: [email protected]).
PY - 2013
Y1 - 2013
N2 - We consider a generalized class of relay controllers where the system input may take values in a finite set of constant vectors. A simple continuous-time design method is proposed for linear time invariant (LTI) systems. Furthermore, it is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid containing the origin. The sampling intervals may be unknown and time-varying in a given interval. Simple linear matrix inequalities (LMIs) conditions are proposed for checking (local) practical stability.
AB - We consider a generalized class of relay controllers where the system input may take values in a finite set of constant vectors. A simple continuous-time design method is proposed for linear time invariant (LTI) systems. Furthermore, it is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid containing the origin. The sampling intervals may be unknown and time-varying in a given interval. Simple linear matrix inequalities (LMIs) conditions are proposed for checking (local) practical stability.
KW - Linear matrix inequalities
KW - Relay feedback control
KW - Sampled-data control
KW - Time-varying sampling
UR - http://www.scopus.com/inward/record.url?scp=84885692314&partnerID=8YFLogxK
U2 - 10.3182/20130904-3-FR-2041.00112
DO - 10.3182/20130904-3-FR-2041.00112
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AN - SCOPUS:84885692314
SN - 9783902823472
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 711
EP - 716
BT - 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
PB - IFAC Secretariat
Y2 - 4 September 2013 through 6 September 2013
ER -