TY - JOUR
T1 - Memoryless output feedback nullification and canonical forms, for time varying systems
AU - Weiss, G.
N1 - Funding Information:
Research supported by grants from the Israel Science Foundation and from the Information Society Technologies Programme of the European Commission.
PY - 2005/10/15
Y1 - 2005/10/15
N2 - We study the possibility of nullifying time-varying systems with memoryless output feedback. The systems we examine are discrete-time linear single-input single-output finite-dimensional time-varying systems. For generic completely controllable and completely observable discrete-time systems, we show that any state at any time can be steered to the origin within finite time. An algorithm for nullification and an upper bound for nullification time, depending only on the system's dimension, are provided. The algorithm is described using a representation of the system in time-varying controller canonical form. We verify that every completely controllable system has such a representation.
AB - We study the possibility of nullifying time-varying systems with memoryless output feedback. The systems we examine are discrete-time linear single-input single-output finite-dimensional time-varying systems. For generic completely controllable and completely observable discrete-time systems, we show that any state at any time can be steered to the origin within finite time. An algorithm for nullification and an upper bound for nullification time, depending only on the system's dimension, are provided. The algorithm is described using a representation of the system in time-varying controller canonical form. We verify that every completely controllable system has such a representation.
UR - http://www.scopus.com/inward/record.url?scp=27844446994&partnerID=8YFLogxK
U2 - 10.1080/0020710500291986
DO - 10.1080/0020710500291986
M3 - Article
AN - SCOPUS:27844446994
SN - 0020-7179
VL - 78
SP - 1174
EP - 1181
JO - International Journal of Control
JF - International Journal of Control
IS - 15
ER -