TY - JOUR
T1 - Switched observers for switched linear systems with unknown inputs
AU - Bejarano, Francisco Javier
AU - Pisano, Alessandro
N1 - Funding Information:
Manuscript received September 12, 2009; revised March 12, 2010; accepted November 10, 2010. Date of publication December 03, 2010; date of current version March 09, 2011. This work was supported by the FP7 European Research Projects ”PRODI – Power plants Robustification by fault Diagnosis and Isolation techniques” under Grant 224233. Recommended by Associate Editor A. Ferrara.
PY - 2011/3
Y1 - 2011/3
N2 - Two state observers are designed for some classes of switched linear systems with unknown inputs. The design of the proposed observers assumes that all switching subsystems fulfill a property of "strong detectability" that allows to implement suitable reduced-order unknown-input switched observers. The synthesis of the observers is based on the feasibility of a certain system of LMIs. Two main schemes are presented. For the case when the set of possible unknown-input distribution matrices are linearly dependent, an observer is suggested that guarantees the asymptotic state reconstruction without imposing any slow-switching dwell-time constraint about the sequence of the switching times. For the general case, the existence of a minimal average dwell-time for every switching sequence is assumed. By appropriate Lyapunov analysis, the convergence of the state estimate is proven to be exponential in both cases. Simulation results confirm the predicted performance.
AB - Two state observers are designed for some classes of switched linear systems with unknown inputs. The design of the proposed observers assumes that all switching subsystems fulfill a property of "strong detectability" that allows to implement suitable reduced-order unknown-input switched observers. The synthesis of the observers is based on the feasibility of a certain system of LMIs. Two main schemes are presented. For the case when the set of possible unknown-input distribution matrices are linearly dependent, an observer is suggested that guarantees the asymptotic state reconstruction without imposing any slow-switching dwell-time constraint about the sequence of the switching times. For the general case, the existence of a minimal average dwell-time for every switching sequence is assumed. By appropriate Lyapunov analysis, the convergence of the state estimate is proven to be exponential in both cases. Simulation results confirm the predicted performance.
KW - Strong detectability
KW - switched linear systems
KW - unknown-input observers
UR - http://www.scopus.com/inward/record.url?scp=79952607163&partnerID=8YFLogxK
U2 - 10.1109/TAC.2010.2095990
DO - 10.1109/TAC.2010.2095990
M3 - Artículo
SN - 0018-9286
VL - 56
SP - 681
EP - 686
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 3
M1 - 5648445
ER -