TY - GEN
T1 - Persistence of excitation, RBF approximation and periodic orbits
AU - Wang, Gong
AU - Hill, David J.
PY - 2005
Y1 - 2005
N2 - Satisfying the persistence of excitation (PE) condition is an important and yet challenging problem in system identification and adaptive control. In this paper, it is shown that a regressor vector consisted of radial basis functions can satisfy the PE condition. Specifically, for radial basis function networks (RBFN) constructed on a regular lattice, any periodic orbit that stays within the regular lattice can lead to the satisfaction of a partial PE condition. The significance of this result lies in that, with the partial PE condition satisfied, accurate RBFN approximation of unknown system dynamics can be achieved in a local region along the periodic orbit. This result will be very useful in identification, control and recognition of nonlinear systems using RBFN.
AB - Satisfying the persistence of excitation (PE) condition is an important and yet challenging problem in system identification and adaptive control. In this paper, it is shown that a regressor vector consisted of radial basis functions can satisfy the PE condition. Specifically, for radial basis function networks (RBFN) constructed on a regular lattice, any periodic orbit that stays within the regular lattice can lead to the satisfaction of a partial PE condition. The significance of this result lies in that, with the partial PE condition satisfied, accurate RBFN approximation of unknown system dynamics can be achieved in a local region along the periodic orbit. This result will be very useful in identification, control and recognition of nonlinear systems using RBFN.
UR - http://www.scopus.com/inward/record.url?scp=27844443946&partnerID=8YFLogxK
M3 - Conference contribution
SN - 0780391381
T3 - Proceedings of the 5th International Conference on Control and Automation, ICCA'05
SP - 547
EP - 552
BT - Proceedings of the 5th International Conference on Control and Automation, ICCA'05
T2 - 5th International Conference on Control and Automation, ICCA'05
Y2 - 27 June 2005 through 29 June 2005
ER -