| Dr. Leonid Fridman |
|
| CURRICULUM | EDUCATION | THESISES |
| EMPLOYMENT STORY | TEACHING | INVITATIONS |
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FRIDMAN LEONID
ADDRESS: Dr. Leonid M. Fridman
Division de Estudios de Posgrado e Investigacion
Instituto Tecnologico de Chihuahua
Av. Tecnologico 2909
Chihuahua. Chih.
31310
MEXICO
PHONE:52 15 169257
DATE OF BIRTH: July 16, 1954, USSR
FAMILY STATUS: married + 3
LANGUAGES: Russian (native), English (fluent), Spanish
1976-M.Sc. in Mathematics, Kuibyshev University
1988-Ph.D. in Applied Mathematics, Institute
of Control Science (Moscow)
1998-Doctor of Science in Control, Moscow State
University in Mathematic and Electronics
1976-2000 Samara State Architecture & Building Academy
Department of Mathematics:
assistant professor (1976-1988),
senior lecturer (1988-1989);
associated professor ( 1989-1998);
professor 1998-2000
2000 until now - Profesor invetsigador de Instituto Tecnologico de Chihuahua
University level courses:
"Mathematical Analysis" , "Control Theory"
"Differential equations", "Linear algebra"
"Sliding Mode Control"
1976-M.Sc. in Mathematics, Kuibyshev University title of thesis:
"Stability of differential equation system with manifolds of equilibrium points in critical cases "
1988-Ph.D. in Applied Mathematics, Institute of Control Science (Moscow)
title of thesis "Decomposition of sliding
mode control systems with different speed of motions"
1998-Doctor of Science in Control Science, Moscow
State
University in Mathematic and Electronics
title of thesis "Motions separation in relay control systems"
Ph.d. THESISES in which Dr. L. Fridman was advisor
1. Reiner Rumpel (Humboldt University, Berlin,Germany),1997
"About periodic solutions of singularly perturbed systems and its applications
Awards:
1985-3rd awrad on the soviet competition of young scientists in control;
1986-1rd awrad on the soviet competition of young scientists in control.
1993
Israel
Tel Aviv University
University of Nagev , Beer Sheva
Technion
Weizmann Institution
1994
Italy
University of Napoli
University of Florence
University of Genova
Institute of Industrial Mathematics, Beer Sheva,Israel
1995
Bogazici University, Istambul,Turkey
Weiestrass Institute of Applied Mathematics and stochastics, Berlin, Germany
1996
Weiestrass Institute of Applied Mathematics and stochastics, Berlin,Germany
Institute of Industrial Science, Tokyo, Japan.
1997
German
Institute of Industrial Science, Weanceiestrass Institute of Applied Mathematics and stochastics
1998
France
INRIA
SUPELEC
CIRM
1999
Israel
Tel Aviv University
France
University of Lille
INRIA
University of Versail
Mathematical tools for decomposition of the singularly perturbed relay control systems:
- the separation of motions on finite time interval;
- the investigation of stability;
- the existence of slow motion integral manifold;
- the reduction principle for investigation of
- stability in critical cases;
-averaging theorem;
-the existence of fast periodic solutions;
-the investigation of stability for fast periodic solutions;
-the existence of slow motions periodic solution;
-the investigation of stability for slow periodic solutions.
Invstigation of the relay control systems with time delay:
-the existence of countable sets of steady modes;
-the investigation of stability ;
-the investigation of the properties of steady modes
as the sliding mode;
-the existence of slow motions periodic solution
for singularly perturbed relay control systems with delay.
Analysis of the sliding mode control systems:
-equivalent control method correction taking into account the
dynamics of fast actuators and measuring devices;
-correction of the averaged equations.
Design of the sliding mode control systems:
-design of the algorithms which allows to use the dynamics of
fast actuators for obtaining of desired sliding equations;
-adaptive control algorithms for the relay control systems with delay.
CHAPTERS OF BOOKS:
1. Higher order sliding modes as the natural phenomena of control theory.In:Robust Control Variable Structure and Lyapunov Techniques, Garafalo F. and Glielmo G. (Eds.), Lecture Notes in Control and Information Science,217,Springer Verlag,London,(1996),pp.106-133.
2. The problem of chattering: an averaging approach. In: Young K.D. and Ozguner U. (eds.) Variable Structure, Sliding Mode and Nonlinear Control, Lecture Notes in Control and Information Science, no.247, Springer Verlag, London, (1999),p.363-386 (with A. Levant).
3. Regulation of RTAC systems via flatness and second order sliding -in X. Yu and J.-X. Xu (Eds.) Advances in Variable Structure Systems, World Scientififc, Singapore,2000, 221-230 (with H. Sira - Ramirez and A. Levant).
4. Periodic motions in VSS and singular perturbations,-in
X. Yu and J.-X. Xu (Eds.) Advances in Variable Structure Systems, World
Scientififc, Singapore,2000, 365-374.
5.Higher order sliding modes. in: J.P Barbot , W.Perruguetti
(Eds.) Sliding mode in Automatic Control, Ecole Central de Lille,1999,
Lecture no.3. 51 p (with A. Levant).
6. Steady modes and sliding modes in relay control
systems with delay. in:J.P Barbot , W.Perruguetti (Eds.) Sliding mode in
Automatic Control, Ecole Central de Lille,1999, Lecture no. 10, 40p. (with
E.Shustin,E.Fridman).
ARTICLES
1.Analog of Tichonov's theorem for one kind of discontinuous singularly perturbed systems.In:Approximate Methods of differential equations research and applications.Kuibychev State University press.1983.P. 103-109 (in Russian).
2.Averaging method for discontinues singularly perturbedsystems.In:Approximate Methods of differential equations research and applications.Kuibychev state University press.1984.P.108-119 (in Russian).
3.On robustness of sliding mode systems with discontinuous control function, Automatika i Telemechanica (Automation & Remote Control), 1985, No. 5, P. 172 -175 (in Russian).
4.Roughness analysis of sliding mode systems with discontinuous control function, Automatika i Telemechanica (Automation & Remote Control), 1985, No.11, P. 172-176 (in Russian).
5. Singular extension of the definition of discontinuous systems,Differentialnye uravnenija (Differential equations),1986, No.10,P.1461-1463 (in Russian).
6.On one singular extension for discontinues control systems definition, In : Control of complex technical systems, Institute of Control Sciences Press.Moscow,1987,P.58-61 (in Russian).
7.Decomposition of systems with discontinuous controls chose element operate at different speeds, Automation &Remote Control,1988,49 ,P.288-292 (with V.A.Sobolev).
8.Singular extension of the definition of discontinuous systems and stability, Differential equations,1990,10, 1307-1312.
9.Equivalent control method singular correction, Differentialnye uravnenija (Differential equations),1992,No12,P.740-751.(with S.V. Bogatyrev).
10.Steady modes in a discontinuous control system with time delay.Pure Math. Appl. 4 (1993), no. 1, 59-73 (with E.Shustin, E.Fridman).
11. Steady modes in an autonomous system with break and delay. Differential Equations (Moscow) 29 (1993), no. 8, 1161-1166 (with E.Fridman, E.Shustin).
12.Steady modes in a discontinuous control system with time delay. Functional Differntial Equations, V. 1 (1993), 165-178(with E.Shustin,E.Fridman).
13. The separation of motions in different speeds discontinuous control systems with delay,Automation and Remote Control, 1997, v.58, N7, 1263-1275.
14. Vibration Damping of the Elastic Robotics Structures and Sliding Modes, Int. Journ. Of Robotics Systems, 1997,V.14,No.9,675-696 (withG.Bartolini, W.Caputo,M.Cecchi,A. Ferrara).
15. Fast periodic oscillations in sliding mode control systems and averaging, Transatcions of Russian Academy of Natural Science, 1997,N.3, 99-128, (in Russian).
16. Stable oscillations in a discontinuous delay system
of the second order, an added volume for Dynamical Systems and Differential
Equation,1998, N.2,pp. 209-232(with E.Shustin,E.Fridman).
17. Slow periodic motions with interior sliding mode
in singularly perturbed relay systems and averaging,
Transatcions of Russian Academy of Natural Science, 1998,N.3, 117-141,
(in Russian).
18.Steady modes in a discontinuous control system with
timedelay and periodic disturbances. ASME Journal of Dynamic Systems, Measurements
and Control, 2000, v.122, no.4, 732-737 (with E.Shustin,E.Fridman).
PROCEEDINGS OF CONFERENCES
1. Infinite Dimensional Singularly Perturbed Systems with Sliding Mode Control Decomposition. IEEE International Workshop on Intelligent Motion Control, IEEE Cat. No. 90TH0272-5 Istambul, (1990), 697-701.
2.Sliding Mode Control System Decomposition Proceedings of the First European Control Conference, Grenoble (1991), 1, 13-17.
3.Equivalent control method singular correction,Proc. of International Conference on Industrial Electronics Control&Instrumentation (IECON'91),Kobe, Japan.
4.Steady modes in discontinuous equations with time delay,Proc of IEEE Workshop Variable Structure and Lyapunov Control of Uncertain Dynamical Systems,Sheffield,1992,65-69 (with E.Shustin and E. Fridman ).
5.Fast periodic oscillations in singularly perturbed discontinuous control systems,Proc of IEEE Workshop Variable Structure and Lyapunov Control of Uncertain Dynamical Systems,Sheffield,1992 ,70-72.
6.Adaptive delay control of relay type in autonomous andperiodic systems. Proceedings of the Second European Control Conference, Groningen (1993), V.4, P.2212-2215 (with E.Shustin and E. Fridman).
7.Stability of motions in singularly perturbed discontinuous control systems. Prepr. of 12th IFAC World Congress,1993,V.4, 367-370.
8.Sliding modes, stability and stabilization in discontinuous delay control systems Proc. of the Workshop Variable Structure and Liapunov Technique, Benevento,1994, 165-169(with E.Shustin and E. Fridman).
9.Higher order sliding modes as the natural phenomena of control theory Proc. of the Workshop Variable Structure and Liapunov Technique, Benevento,1994,302-309(with A.Levant).
10. Chattering Control in Sliding mode systems: possibility of using of additional dynamics of actuators. Proc. of the Workshop "Variable Structure and Liapunov Technique", Benevento, 1994, 310 - 314.
11.Design of the robust control algorithms using dynamics of the fast actuators IFAC Symposium on Robust control design, Rio de Janeiro,1994,85-90.
12.Chattering in sliding mode systems and singular perturbation. Proc. of Int. Symp.on Nonlinear Control Systems Design,June 1995,Lake Tahoe,California,USA,725-730.
13. Steady modes as sliding mode in discontinuous delay control systems,Proc.of Int. Symp. On Nonlinear Control Systems Design,June 1995,Lake Tahoe,California, USA, 731-734(with Fridman E., Shustin E.).
14.Decomposition of singularly perturbed discontinuous delay control systems. Proc. of Int. Conf . On Singular perturbation and solution in control systems, Pereslavl-Zalessky,1995,P.37-38.
15. Singular perturbation and Analysis of motions of turbine blades with Coulomb friction. Proc. of Int. Workshop On Singular perturbation and solution in control systems, Pereslavl -Zalessky,1995,P.40.
16. Analysis and control of turbine blades with Coulomb friction using boundary Layer Method. Proc. of Int. Conf.on Recent Advances in Mechatronics, August 1995, Istanbul, Turkey, 34-39.
17. Steady Modes in Relay Control Systems with Delay,Proc.of IEEE Workshop on Variable Structure Systems, Tokyo, 5-6 Dec.1996,111-116.
18.Second order steady modes in relay control systems with delay,Proc. of IEEE Workshop on Variable Structure Systems, Tokyo,5-6 Dec. 1996,pp.108-110(with Fridman E., Shustin E.).
19.Steady modes and sliding modes in the relay control systems with time delay, Proc.of 35th Conference on Decision in Control, Kobe 11-13 Dec.,1996,4601-4606(with Fridman E., Shustin E.)
20. Steady modes and sliding modes in the relay control systems with time delay and periodic disturbances, Proc.of 1st conf. on Controlof oscillations and Chaos, IEEE cat No.97TH8329, St-Petersburg, 27-29 August 1997,75-78 (with Fridman E., Shustin E.).
21.The phenomenon of second order steady modes in relay control systems with delay, Proc. of European Control Conference, Brussels,1-4 July 1997,3, N 767(with Fridman E., Shustin E.).
22. Slow periodic motions in the singularly perturbed relay control systems. Proc. of European Control Conference,Brussels, 1-4 July 1997,3,N 768.
23. Steady modes in the relay control systems with delay. Proc.of the 15th World Congres of IMACS,Berlin,24-29 August 1997,1,239-244 (with Fridman E., Shustin E.).
24.Fast periodic oscillations in the singularly perturbed relay control systems,Proc. of the IFAC Workshop on On Singular perturbation and solution in control systems,Pereslavl -Zalessky,1997,Elsilvier Publ.,19-24 .
25.Chattering in high gain control system with fast actuator and singular perturbation. Proc.of 36th Conference on Decision in Control, San - Diego, CA,USA, 10-12 Dec.,1997,3232-3233.
26. Fast periodic oscillations in singularly perurbed relay control systems and sliding modes. Proceedings of the 2nd IMACS multiconference on Computational Engineering in System Applications (CESA’98),Tunisia,1998,v.2, 828-833.
27. Oscillatory properties of solutions and steady modes in the second order relay control systems with time delay. Proceedings of the 2nd IMACS multiconference on Computational Engineering in System Applications (CESA’98), Tunisia, 1998,v.2, 1361-1365(with Fridman E., Shustin E.).
28.Sliding modes and fast periodic oscillations in singularly perturbed relay control systems. ?roc. of 17th American Control Conference, Philadelphia, 1998, V1., 210-215.
29.Eigenvalue assignment in sliding mode control systems with the help of averaging technique. Proc. of 5th European Control Conference, Karslruhe,1999, N0423.
30.The phenomenon of second order steady modes in relay control systems with delay, Proc. of 5th European Control Conference, Karlsruhe,1999, N0424(with Fridman E., Shustin E.).
31. Chattering in sliding mode control systems with
fast actuators. Proc. of 2nd Conf. Control of Oscillations and
Chaos. St. Petersburg, July 2000,311-314 (with P. Acosta).
32. Analysis of chattering in sliding mode control
systems with fast actuators via averaging. Proc . of 19th American
Control Conference, June 2000,1129-1133.
33. Sliding mode control design via additional dynamics of actuators.Proc. of IFAC Symposium on Robust Control Design., Praha, June 2000, W2B/45.
PREPRINTS
1. Fast periodic oscillations in singularly perturbed systems and sliding mode. Weierstrass Institute fur angewandte Analysis und Stochastik.Belrin,Preprint No.358, 1997,22p.
2. On the asymptotic analysis of singularly perturbed systems with sliding mode. Weierstrass Institute fur angewandte Analysis und Stochastik.Belrin,Preprint No.246, 1996,29p.(with Rumpel R.)
3. Asymptotic extension of solution of singularly perturbed systems with discontinuous right hand part. Kuyibyshev Building Engineering Institute,1983, Deposit in Vsesousnii Institut Nauchnoi i Technicheskoi Informazii , 4366-b,30p.
4.Singular extension of the definition of discontinuous systems,Edditorial board of journal "Differentialnyeuravnenija" (Differential equations), 1985, Deposit in Vsesousnii Institut Nauchnoi i Technicheskoi Informazii N6733-b,19.09.85, 30p,(in Russian).
5.About possibility of using of equation of precise theory for investigation of hyroscopical systems with dry friction, Kuyibyshev Building Engineering Institute,1985, Deposit in Vsesousnii Institut Nauchnoi i Technicheskoi Informazii 19.11.85 N8053-B85,15p.,( in Russian).
6.About stability of singularly perturbed discontinuous systems, Kuyibyshev Building Engineering Institute,1985, Deposit in Vsesousnii Institute Nauchnoi i Technicheskoi Informazii 19.11.85,N8053-B85 , 20p.,(in Russian).