Levant, Arie ( formerly Levantovsky, Lev )
Associate professor
Applied Mathematics Dept.,
School of Mathematical Sciences,
Tel-Aviv University,
Ramat-Aviv.
Tel-Aviv 69978
Israel
E-mail: levant@post.tau.ac.il
Tel.: +972-3-6408812 (office), Fax: +972-3-6407543
Teaching
Spring 2013. Reception Hours: Tuesday, 14:10 - 15:00, Room 320, Schreiber building
Education:
1987 Ph.D.
Thesis "Higher-order sliding modes and their application for controlling uncertain processes". Adviser: Prof S.V. Emelyanov. Opponent (secondary adviser): Prof M.A. Krasnoselsky.
1983-1987 Postgraduate studies on speciality "Control theory", Institute for System Studies of the USSR Academy of Science,
Moscow.
1980 B.Sc. and M.Sc. Moscow State University, Faculty of Mechanics and Mathematics, majored
in Differential Equation Theory.
1980 M.Sc.
Thesis "Singularities of Stability Region Boundary." Scientific Adviser: Prof V.I. Arnold.
Publications: About 100 scientific publications
Awards: 1988 VLKSM Prize (Union
of the Soviet Youth) for solving Control Problems of Dynamic Systems (with K.V. Malkov, I.G. Mamedov, A.L. Nersisyan,
S.V. Nikitin, V.I. Sizikov)
Research Interests:
Nonlinear Control Theory, Variable Structure Systems, Higher-Order Sliding Modes, High-Precision Tracking, Real-Time
Control, Image Processing, Computer Vision.
Main scientific result:
Establishment of a new branch of the Sliding-Mode Control Theory - High-Order Sliding Modes
My papers on Google Scholar
Some papers in the PDF format:
Sliding order and sliding accuracy in sliding mode control (International Journal
of Control, 58(6), 1993, 1247-1263)
High order sliding modes in control systems (with Emelyanov and Korovin, Computational Mathematics and
Modeling, 7(3), 294--318, 1996)
Robust exact differentiation via sliding mode
technique (Automatica, 34(3), 1998, 379-384)
Aircraft Pitch Control via Second Order
Sliding Technique (with Pridor A., Gitizadeh R., Yaesh I., Ben-Asher J. Z., AIAA Journal
of Guidance, Control and Dynamics, 23(4), 2000, 586-594 )
Proofs for the paper IEEE Transactions
on Automatic Control, 46(9), 2001, pp. 1447 - 1451 - see the paper in Int. J. of Control, 76 (9/10), 924-941, 2003
Universal SISO sliding-mode controllers
with finite-time convergence, IEEE Transactions on Automatic Control,
46(9), 2001, pp. 1447 - 1451
Higher order sliding modes.-
with Fridman L.- in W. Perruquetti, J. P. Barbot, eds. "Sliding Mode Control in Engineering", Marcel Dekker, Inc., 53-101, 2002
Higher-order sliding modes, differentiation
and output-feedback control, Int. J. of Control, 76 (9/10),
924-941, Special issue on Sliding-Mode Control. , 2003
Transient adjustment of high-order sliding
modes (with L. Alelishvili) - Proc. of the 7th Scientific Workshop “Variable Structure Systems VSS'2004”, Vilanova,
Spain, September 6-8, 2004
Homogeneity approach
to high-order sliding mode design. - Automatica, 41(5), 823-830,
2005
Quasi-Continuous High-Order
Sliding-Mode Controllers , IEEE Transactions on Automatic Control,
50(11), 1812-1816, 2005
Homogeneous quasi-continuous
sliding-mode control. Lecture Notes in Control and
Information Sciences, 334, 143--168, "Advances
in Variable Structure and Sliding Mode Control", 2006
Construction principles
of 2-sliding mode design. Automatica, 43(4), 576-586, 2007
Finite
Differences in Homogeneous Discontinuous Control, IEEE Transactions on Automatic Control, 52(7), 1208 - 1217, 2007
Integral
High-Order Sliding Modes (with L. Alelishvili), IEEE Transactions on Automatic Control, 52(7), 1278 - 1282, 2007
Proofs for High-Order Integral Sliding Modes - see here and here
Generalized
homogeneous quasi-continuous controllers (with Y.Pavlov), Int.Journal of Robust and Nonlinear
Control, 18(4-5), 385 - 398, 2008 - Special Issue: Advances in Higher Order Sliding Mode
Control
Keynote "Homogeneous High-Order
Sliding Modes", 17th IFAC World Congress, Seoul, July 6-11, 2008
Adjustment
of High-Order Sliding-Modes (with A. Michael), Int.Journal of Robust and Nonlinear Control, 19(15), 1657 - 1672,
2009
Homogeneous Sliding Modes in the Presence of Fast Actuators (with L. Fridman), IEEE Transactions on Automatic
Control, 55(3), 810 - 814, 2010
Full version of the paper "Accuracy
of Homogeneous Sliding Modes in the Presence of Fast Actuators" (with proofs)
Chattering Analysis,
IEEE Transactions on Automatic Control, 55(6), 1380 - 1389, 2010
Finite-time
stability and high relative degrees in sliding-mode control. Plenary Lecture at the 11th International Workshop
VSS'2010, Mexico-City, Mexico, June 26, 2010, published in Lecture Notes in Control and
Information Sciences, 412, 59-92, 2012
Exact differentiation
of signals with unbounded higher derivatives (with M. Livne). IEEE Transactions on Automatic Control, 57(4), 1076-1080, 2012
Slides of the plenary
lecture "Realization of high order sliding modes: Practical Relative Degree Concept", 12th Scientific
Workshop VSS'11, Mumbay (India), January 12-14, 2012
Ring Tones