TY - GEN
T1 - Observability implies observer design for switched linear systems
AU - Tanwani, Aneel
AU - Shim, Hyungbo
AU - Liberzon, Daniel
PY - 2011
Y1 - 2011
N2 - This paper presents a characterization of observability and an observer design method for a class of hybrid systems. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions. A relatively weaker characterization is given for determinability, the property that concerns with recovery of the original state at some time rather than at all times. These conditions are then utilized in the construction of a hybrid observer that is feasible for implementation in practice. The observer, without using the derivatives of the output, generates the state estimate that converges to the actual state under persistent switching.
AB - This paper presents a characterization of observability and an observer design method for a class of hybrid systems. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions. A relatively weaker characterization is given for determinability, the property that concerns with recovery of the original state at some time rather than at all times. These conditions are then utilized in the construction of a hybrid observer that is feasible for implementation in practice. The observer, without using the derivatives of the output, generates the state estimate that converges to the actual state under persistent switching.
KW - Observability
KW - Observer design
KW - Switched linear systems
UR - http://www.scopus.com/inward/record.url?scp=79955991449&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79955991449&partnerID=8YFLogxK
U2 - 10.1145/1967701.1967705
DO - 10.1145/1967701.1967705
M3 - Conference contribution
AN - SCOPUS:79955991449
SN - 9781450306294
T3 - HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control
SP - 3
EP - 12
BT - HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems
T2 - 14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011
Y2 - 12 April 2011 through 14 April 2011
ER -