TY - JOUR
T1 - Reconstructability of controlled switched linear systems
T2 - discrete and continuous states
AU - Bejarano, Francisco Javier
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - This paper discusses the observability and reconstructability analysis of controlled switched linear systems. It is assumed that there is no information about the evolution of the discrete state neither it may be measured online. It is shown that, for the general case, observability of the discrete state does not depend on the observability of the continuous state and vice versa. Necessary and sufficient conditions are given under which a control input guarantees observability (reconstructability) of the discrete state. Corresponding results are obtained regarding the continuous state observability. Joining the obtained results, conditions are implied to guarantee the observability of the entire state (discrete and continuous). Finally, a mathematical algorithm is given describing a way to reconstruct both states.
AB - This paper discusses the observability and reconstructability analysis of controlled switched linear systems. It is assumed that there is no information about the evolution of the discrete state neither it may be measured online. It is shown that, for the general case, observability of the discrete state does not depend on the observability of the continuous state and vice versa. Necessary and sufficient conditions are given under which a control input guarantees observability (reconstructability) of the discrete state. Corresponding results are obtained regarding the continuous state observability. Joining the obtained results, conditions are implied to guarantee the observability of the entire state (discrete and continuous). Finally, a mathematical algorithm is given describing a way to reconstruct both states.
KW - Continuous state reconstructability
KW - Discrete state reconstructability
KW - Switched linear systems
UR - http://www.scopus.com/inward/record.url?scp=85050532366&partnerID=8YFLogxK
U2 - 10.1007/s40435-016-0284-4
DO - 10.1007/s40435-016-0284-4
M3 - Artículo
SN - 2195-268X
VL - 6
SP - 1218
EP - 1230
JO - International Journal of Dynamics and Control
JF - International Journal of Dynamics and Control
IS - 3
ER -