Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 7, Pages 3671-3678Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2673413
Keywords
Finite/Fixed-time (FT/FxT); parameter identification; time-varying systems
Funding
- HoTSMoCE Inria associate team program
- ANR Finite4SoS [ANR 15 CE23 0007]
- Government of Russian Federation [074-U01]
- Ministry of Education and Science of Russian Federation [14.Z50.31.0031]
- CONACyT [270504]
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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.
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