TY - JOUR
T1 - Time-Varying Parameter Identification Algorithms
T2 - Finite and Fixed-Time Convergence
AU - Rios, Hector
AU - Efimov, Denis
AU - Moreno, Jaime A.
AU - Perruquetti, Wilfrid
AU - Rueda-Escobedo, Juan G.
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2017/7
Y1 - 2017/7
N2 - In this paper, the problem of time-varying parameter identification is studied. To this aim, two identification algorithms are developed in order to identify time-varying parameters in a finite time or prescribed time (fixed-time). The convergence proofs are based on a notion of finite-time stability over finite intervals of time, i.e., short-finite-time stability, homogeneity for time-varying systems, and Lyapunov-based approach. The results are obtained under injectivity of the regressor term, which is related to the classical identifiability condition. The case of bounded disturbances (noise of measurements) is analyzed for both algorithms. Simulation results illustrate the feasibility of the proposed algorithms.
AB - In this paper, the problem of time-varying parameter identification is studied. To this aim, two identification algorithms are developed in order to identify time-varying parameters in a finite time or prescribed time (fixed-time). The convergence proofs are based on a notion of finite-time stability over finite intervals of time, i.e., short-finite-time stability, homogeneity for time-varying systems, and Lyapunov-based approach. The results are obtained under injectivity of the regressor term, which is related to the classical identifiability condition. The case of bounded disturbances (noise of measurements) is analyzed for both algorithms. Simulation results illustrate the feasibility of the proposed algorithms.
KW - Finite/Fixed-time (FT/FxT)
KW - parameter identification
KW - time-varying systems
UR - http://www.scopus.com/inward/record.url?scp=85028444911&partnerID=8YFLogxK
U2 - 10.1109/TAC.2017.2673413
DO - 10.1109/TAC.2017.2673413
M3 - Artículo
AN - SCOPUS:85028444911
SN - 0018-9286
VL - 62
SP - 3671
EP - 3678
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 7
M1 - 7862827
ER -