Levant, Arie ( formerly Levantovsky, Lev )

              

                                         

"Real-time" differentiation of the noisy signal f = f₀ +h,
representing the "unknown" basic signal f₀(t) = sin(0.5 t) + 0.5 cos(t)
corrupted by the noise
h = 10⁷ cos(10⁴ t) - 2 10⁷ sin(1.7 10⁵ t) + 5 10⁷ cos(1.33 10⁵ t)
and sampled with the time period 10^-5.
Filtering differentiator of the order 3 and the filtering order 7 is applied

Education:

1987 Ph.D. Thesis "Higher-order sliding modes and their application in control of uncertain processes". Adviser: Prof S.V. Emelyanov. Opponent (secondary adviser): Prof M.A. Krasnoselsky.

1983-1987 Postgraduate studies in mathematical control theory, Institute for System Studies of the USSR Academy of Sciences, Moscow.

1980 B.Sc. and M.Sc. from the  Moscow State University, Faculty of Mechanics and Mathematics, majored in the Theory of Differential Equations.

1980 M.Sc. Thesis "Singularities of Stability Region Boundary." Scientific Adviser: Prof V.I. Arnold.

Research Interests:

Nonlinear Control Theory, Sliding Mode Control, Homogeneous Discontinuous Control, Nonlinear Finite-Time-Exact Tracking and Observation, Robust Exact High-Order Differentiation.

Main scientific results:

Establishment of new branches of the Sliding-Mode Control (SMC) Theory - High-Order SMC and Homogeneous SMC; Real-Time Robust Exact Differentiation

Some papers in the PDF format: