TY - GEN
T1 - Unbounded unknown inputs estimation based on high-order sliding mode differentiator
AU - Bejarano, Francisco J.
AU - Fridman, Leonid
PY - 2009
Y1 - 2009
N2 - An observer is designed for strongly detectable systems with unbounded unknown inputs. The design scheme is based on three steps. First, the system is extended taking the unknown inputs (and possibly some of their derivatives) as new states. Then, using a high-order sliding mode differentiator (HOSMD), a new output of the system is generated in order to fulfill the Hautus condition. Finally, the system is decomposed into two subsystem, the first one being unaffected directly by the unknown inputs, and the second subsystem being obtained directly from the system output. Thus, a Luenberger observer is designed for the first subsystem. This procedure allows one to estimate the state and the unknown inputs using the least number of differentiations possible. Some simulations are given to show the effectiveness of the proposed observer.
AB - An observer is designed for strongly detectable systems with unbounded unknown inputs. The design scheme is based on three steps. First, the system is extended taking the unknown inputs (and possibly some of their derivatives) as new states. Then, using a high-order sliding mode differentiator (HOSMD), a new output of the system is generated in order to fulfill the Hautus condition. Finally, the system is decomposed into two subsystem, the first one being unaffected directly by the unknown inputs, and the second subsystem being obtained directly from the system output. Thus, a Luenberger observer is designed for the first subsystem. This procedure allows one to estimate the state and the unknown inputs using the least number of differentiations possible. Some simulations are given to show the effectiveness of the proposed observer.
UR - http://www.scopus.com/inward/record.url?scp=77950803986&partnerID=8YFLogxK
U2 - 10.1109/CDC.2009.5400821
DO - 10.1109/CDC.2009.5400821
M3 - Contribución a la conferencia
AN - SCOPUS:77950803986
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 8393
EP - 8398
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -