Synchronization And State Estimation Of Nonlinear Systems With Unknown Time-Delays: Adaptive Identification Method
The paper studies a novel adaptive identifier proposed in IFAC World Congress 2020 for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then it is generalized for systems with unknown delay values. The algorithm ensures the asymptotic parameter estimation and state observation by using gradient algorithms. The unknown delays and plant parameters are estimated by using a special equivalent extension of the
plant equation. The algorithms stability is presented by solvability of linear matrix inequalities. Simulation results are invoked to support the developed identifier design and to illustrate the efficiency of the proposed synthesis procedure.
CYBERNETICS AND PHYSICS, Vol. 9, No. 3. 2020, 136-143. https://doi.org/10.35470/2226-4116-2020-9-3-136-143