Home Teaching

Methods of finite-time control and observation

Spring 2022. Reception Hours: Tuesday, 14:10 - 15:00, ZOOM.

In better times Room 123b, Schreiber building


Books (cover about 50% of the material):

Shtessel Y., Edwards C., Fridman L., Levant A., 2013, Sliding Mode Control and Observation. Birkhauser Basel, US

Filippov, A.F., 1988, Differential Equations with Discontinuous Right-hand Side. Kluwer, Dordrecht, the Netherlands

Slotine, J.-J. E. and Li W., Applied Nonlinear Control, Prentice-Hall, Inc., London, 1991

Khalil, H. Nonlinear Systems, 3rd ed., Prentice Hall, 2001

Isidori, A., Nonlinear Control Systems, (New York: Springer Verlag), 1995

Bacciotti, A., and Rosier L., Liapunov Functions and Stability in Control Theory. Springer Verlag, London, 2005.

Utkin, V.I., Sliding Modes in Control and Optimization Problems, Springer Verlag, Berlin, 1992



Hebrew description and syllabus

English description and syllabus

Detailed Preliminary Syllabus


Homogeneous High-Order Sliding Modes (2008)

Black-Box Control (2016)

A.Levant,M.Livne-Weighted homogeneity and robustness of sliding mode control, Automatica (2016)

S.Ding,A.Levant,S.Li-Simple arbitrary-order SM controllers, Automatica (2016)

A.Levant, D.Efimov, A.Polyakov, W.Perruquetti-Stability and Robustness of Homogeneous Differential Inclusions, CDC 2016

A.Levant, M.Livne,X.Yu-Sliding-Mode-Based Differentiation and Its Application, IFAC2017

A.Levant-Non-Lyapunov SISO homogeneous control design, CDC2017

A.Levant,M.Livne-Robust exact filtering differentiators,European Journal of Control, 2019


SMC for students: survey-tutorial, 2019   UPDATED 02.02.2021 (bibliography)


In 2022 the course is taught online in ZOOM
Monday, 15:10-18:00

The link, password and the identification number are preserved the same for all lectures and, as well as the recordings, are found on Moodle


Lectures 2022

Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13



Lectures 2020 PDF Scans:

Lecture 1(2018, draft) Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14


Final Projects (2020, 2022)