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Chelnokov
Yuri
Nikolaevich

Professor
Education: 
Saratov State Technical University, 1971 г.
Thesis and academic degrees: 
PhD in Physics and Mathematics, Study of Some Algorithm Problems of Finding Object Orientation Using Inertial Navigation Systems, 1974 г.
Terminal degree in Physics and Mathematics (01.02.01), Quaternion and Biquaternion Methods in Solid Body Mechanics Problems and material Systems
Research Interests: 
Solid body mechanics and solid body systems
Gyroscope theory and gyroscope systems
Inertial navigation and motion control
Space flight mechanics
Robotics
Общий стаж: 
53 года
Стаж по специальности: 
53 года
Work experience: 
Professor, Department of Computation Experiment in Mechanics, 1993 to 2010
Professor, Department of Mathematic and Computer Modeling
Other Administrative Positions: 

Yu.N. Chelnokov entered Saratov Polytechnic Institution, Faculty of Electronics and Engineering in 1966 and graduated it with honors in 1971. In 1971-1974, he did graduate studies on “Precision Instrument Industry”. He defended a thesis “Study of Some Algorithm Problems of Finding Object Orientation Using Inertial Navigation Systems” and received his PhD in Leningrad Electro-technical Institution in 1974. In 1982, he was awarded a title of Associate Professor at the Department of Theoretical Mechanics. In 1987, he received Terminal degree in Physics and Mathematics defending a doctoral thesis “Quaternion and Biquaternion Methods in Solid Body Mechanics Problems and material Systems”. Yu.N. Chelnokov became a Professor at the Department of Theoretical Mechanics. Since 1989, he has been working as a chief research fellow and laboratory head at Saratov branch of RAS Institute of Engineering. Since 1993, he has been a Professor of SSU Department of Computation Experiment in Mechanics, head of the Laboratory of Mechanics, Navigation and Motion Control of RAS Institute of Fine Mechanics and Control Problems.

Honors and Awards: 
Scientific Scholarship for Leading Scientists of Russia, 1994 г.
State Scientific Scholarship for Leading Scientists of Russia
State Scientific Scholarship for Leading Scientists of Russia
Biography: 

Taught disciplines:

  • Theoretical Mechanics;
  • Motion Stability and Control;
  • Mathematic Models and Methods of Mechanics, Navigation and Motion Control;
  • Solid Body Motion Control;
  • Motion Control Mathematic Models

Academic ties:

  • MSU, MEI (Moscow)
  • SPbU (St. Petersburg)
  • USU (Ulyanovsk)
  • СГАУ, СГТУ (г. Самара); SSAU, SSTU (Samara)
  • RAS Institute of Mechanics, RAS Institute of Management Problems, RAS Institute of Space Study, RAS Institute of Applied Mathematics (Moscow)
  • Ukraine NAS Institute of Mathematics (Kiev)
  • All-Russia Research and science Institute of Transport Engineering (St. Petersburg)
  • Space Corporation “Energy”, Mission Control Center (Korolyov)
  • Institute of Electro-mechanics and Automatics (Moscow)
  • Production Association “Corpus” and others

Member of dissertation committees:

  • SSTU Dissertation Committee D063.58.08 in Gyroscopes, Navigation Tools and Complexes and Technical Systems Management 1995-2000;
  • SSTU Dissertation Committee D 063.58.03 in Dynamics, Durability of Machines and Tools and Construction Mechanics 1995-2000;
  • Academic Council of RAS Institute of Fine Mechanics and Control
  • SSTU Dissertation Committee D 212.242.04 in Navigation Tools and System Analysis, Information Management and Processing 2001-2010;
  • SSU Dissertation Committee DM 212.243.15 in Mathematic Analysis, Discreet Mathematics and Mathematic Cybernetics 2008-2010.
Main Publications: 

Yu.N. Chelnokov is the author of over 200 scientific works.

  1. Synthesizing the regulators of a two-component angular velocity gauge using a three-degree gyroscope // Mechanics of  Solids. Vol. 10, No. 4, 1975, pp. 26-33. (with Aleksandrov A.G., Plotnikov P.K.)
  2. On determining vehicle orientation in the Rodrigues-Hamilton parameters from its angular velocity // Mechanics of Solids. Vol. 37, No. 3, 1977, pp. 8-16.
  3. Comparative error analysis of algorithms for determining vehicle attitude in Rodrigues-Hamilton parameters and direction cosines // Cosmic Research, Vol. 17, No. 3, 1979, pp. 308-313. (with Plotnikov P.K.)
  4. On integration of kinematic equations of a rigid body’s  screw-motion // Applied mathematics and mechanics. Vol. 44, No. 1, 1980, pp. 19-23.
  5. On the theory of the gyroscopic pendulum // Applied mathematics and mechanics. Vol. 44, No. 6, 1980, pp. 703-708.
  6. One form of the equations of Inertial navigation // Mechanics of Solids. Vol. 16, No. 5, 1981, pp. 20-28.
  7. On regularization of the equations of the three-dimensional two body problem // Mechanics of Solids. Vol. 16, No. 6, 1981, pp. 1-10.
  8. Equations of motion of gyroscopic-pendulum systems in Rodrigue-Hamilton parameters // Mechanics of Solids. Vol. 18, No. 2, 1983, pp. 17-26.
  9. Quaternion algorithms for three-dimensional inertial navigation systems // Mechanics of Solids. Vol. 18, No. 6, 1983, pp. 1-8.
  10. To the theory гироhorizontcompass in Rodrigue-Hamilton parameters // Applied mechanics. Vol. 20, No. 1, 1984, pp. 409-418.
  11. Regular equations of the three-dimensional two body problem // Mechanics of Solids. Vol. 19, No. 1, 1984, pp. 1-7.
  12. Use of quaternions in the precessional theory of gyroscopes // Mechanics of Solids. Vol. 19, No. 6, 1984, pp. 1-7.
  13. Quaternion methods in Problems of relative motion of dynamically symmetric material systems. I // Mechanics of Solids. Vol. 21, No. 6, 1986, pp. 1-7.
  14. Quaternion methods in problems of relative motion of dynamically symmetric material systems. II // Mechanics of Solids. Vol. 22, No. 1, 1987, pp. 21-29.
  15. Oscillatory and rotational motions of a class of mechanical systems // Mechanics of Solids. Vol. 24, No. 1, 1989, pp. 26-33.
  16. Motion of a heavy symmetric rigid body with a mobile point of a support // Mechanics of Solids. Vol. 25, No. 4, 1990, pp. 1-7.
  17. Determination of position and orientation of moving objects from sensors of platformless inertial navigation systems, through on-board computer solution of the quaternion  equations of motion of gyroscopic systems // Mechanics of Solids. Vol. 26, No. 4, 1991, pp. 3-12.
  18. Kinematic control problem for the orientation of a rigid body // Mechanics of Solids. Vol. 37, No. 5, 1991, pp. 7-16. (with Plotnikov P.K., Sergeev A.N.)
  19. Application of quaternions in the theory of orbital motion of an artificial satellite. I // Cosmic Research, Vol. 30, No. 6, 1992, pp. 612-621.
  20. Application of quaternions in the theory of orbital motion of an artificial satellite. II // Cosmic Research, Vol. 31, No. 3, 1993, pp. 409-418.
  21. Quaternion regularization and stabilization of perturbed central motion. I // Mechanics of Solids. Vol. 28, No. 1, 1993, pp. 16-25.
  22. Quaternion regularization and stabilization of perturbed central motion. II // Mechanics of Solids. Vol. 28, No. 2, 1993, pp. 1-12.
  23. Quaternion solution of kinematic problems of control of orientation of rigid bodies: Equations of motion, problem statements, programmed motion and control // Mechanics of Solids. Vol. 33, No. 5, 1993, pp. 4-10.
  24. Quaternion solution of kinematic problems on controlling the orientation of rigid bodies: Error equations, laws and algorithms of correction (stabilization) // Mechanics of  Solids. Vol. 33, No. 4, 1994, pp. 1-9.
  25. Spacecraft attitude control using quaternions // Cosmic Research, Vol. 32, No. 3, 1994, pp. 244-253.
  26. Investigation of quaternion laws of kinematic control of solid body orientation in angular velocity // Mechanics of Solids. Vol. 33, No. 6, 1995, pp. 3-13. (with Pankov A.A.)
  27. Quaternion research laws kinematic managements of orientation of a rigid body on angular speed // Journal of Computer and Systems Sciences International. Vol. 40, No. 4, 1995, pp. 655-661.
  28. Quaternions and dynamics of controlled motion of a rigid body // Mechanics of Solids. Vol. 31, No. 2, 1996, pp. 11-19.
  29. Design of optimum control strategies and trajectories of a Spacecraft with the  regular quaternion equations of the two body problem // Cosmic Research, Vol. 34, No. 2, 1996, pp. 137-145. (with Sapunkov Ya. G.)
  30. Quaternion construction of optimum managements and trajectories of movement of a space vehicle in the newtonian gravitational field // Mechanics of Solids. Vol. 33, No. 6, 1996, pp. 1-12. (with Yurko V. A.)
  31. Construction of optimum control and trajectories of spacecraft flight by employing quaternion description of   orbit spatial orientation // Cosmic Research, Vol. 35, No. 5, 1997, pp. 499-507.
  32. Quaternions and related transformations in dynamics of a symmetric rigid body. I // Mechanics of  Solids. Vol. 32, No. 6, 1997, pp. 1-11.
  33. Quaternions and related transformations in dynamics of a symmetric rigid body. II // Mechanics of  Solids. Vol. 33, No. 5, 1998, pp. 1-12.
  34. Optimal control of spacecraft motion in the newtonian gravitational field: application of quaternions to describe orbit orientation // Cosmic Research, Vol. 37, No. 4, 1999, pp. 409-418.
  35. The use of quaternions in the optimal control problems of motion of the center of mass of a spacecraft in a newtonian gravitational field: I // Cosmic Research, Vol. 39, No. 5, 2001, pp. 470-484.
  36. Motion control for a space platform complex. I. Mathematical model of the complex // Journal of Computer and Systems Sciences International. Vol. 40, No. 4, 2001, pp. 655-662. (with V.V. Baturin, G.A. Peisakhovict, R.N. Rudakov, Yu.V. Sadomtsev, G.V. Utkin, S.V. Fedoseev)
  37. Motion control for a space platform complex. II. Algorithms for orientation, programmed control, and guidance // Journal of Computer and Systems Sciences International. Vol. 40, No. 5, 2001, pp. 829-838. (with G.I. Zubenko, A.V. Molodenkov, G.A. Peisakhovict, Yu.V. Sadomtsev, G.V. Utkin, S.V. Fedoseev)
  38. Motion control for a space platform complex. III. Discrete correction of the guidance contour // Journal of Computer and Systems Sciences International. Vol. 41, No. 1, 2002, pp. 141-149. (with Yu.V. Sadomtsev, G.V. Utkin, S.V. Fedoseev)
  39. Motion control for a space platform complex. IV. Regime of calibration of camera of scientific devices // Journal of Computer and Systems Sciences International. Vol. 41, No. 2, 2002, pp. 300-311. (with G.I. Zubenko, Yu.V. Sadomtsev, S.V. Fedoseev)
  40. Motion control for a space platform complex. V. Algorithms for adjustment of the complex // Journal of Computer and Systems Sciences International. Vol. 41, No. 3, 2002, pp. 462-470. (with I.N. Aleshin, V.V. Baturin, A.V. Molodenkov, G.A. Peisakhovict, Yu.V. Sadomtsev, G.V. Utkin)
  41. Construction of attitude controls of a rigid body using quaternions and reference forms of equations of transients. I // Mechanics of Solids. Vol. 37, No. 1, 2002, pp. 1-12.
  42. Construction of attitude controls of a rigid body using quaternions and reference forms of equations of transients. II // Mechanics of Solids. Vol. 37, No. 2, 2002, pp. 3-16.
  43. The Use of Quaternions in the Optimal Control Problems of Motion of the Center of Mass of a Spacecraft in a Newtonian Gravitational Field: II // Cosmic Research. Vol. 41, No. 1, 2003, pp. 85-99.
  44. The Use of Quaternions in the Optimal Control Problems of Motion of the Center of Mass of a Spacecraft in a Newtonian Gravitational Field: III // Cosmic Research. Vol. 41, No. 5. 2003, pp. 460-477.
  45. The Problem of Rendezvous of a Controlled Space Vehicle with an Uncontrolled  Space Vehicle Moving along an Elliptical Keplerian Orbit in the Central Newtonian Gravitational Field // Journal of Computer and Systems Sciences International. 2007. Vol.  46. No. 3, pp. 468-484. (with Afanasyeva Yu.V.)
  46. Analysis of Optimal Motion Control  for a Material Points in a Central Field with Application of  Quaternions // Journal of Computer and Systems Sciences International. 2007. Vol. 46. No 5, pp. 688-713.
  47. The Problem of Optimal Control orbit orientation of a Spacecraft as a deform  figure // Journal of Computer and Systems Sciences International. 2008. Vol 47. No 4, pp . 621-634. (with Afanasyeva Yu.V.)
  48. Construction of Optimal Laws of variation in Angular Momentum Vector of a Dynamically Symmetric Rigid Body // Mechanics of  Solids. Vol. 46, No. 4, 2011, pp. 519-533. (with O.V. Zelepukina)
  49. "Optimal reorientation of a spacecraft's orbit using a jet thrust orthogonal to the orbital plane," J. Appl. Math. Mech. 76 (6), 646-657 (2012)
  50. "Biquaternion Solution of the Kinematic Control Problem for the Motion of a Rigid Body and Its Application to the Solution of Inverse Problems of Robot-Manipulator Kinematics," Mech. Solids. 48 (1), 31-46 (2013)
  51. Quaternion Regularization in Celestial Mechanics and Astrodynamics and Trajectory Motion Control. I // Cosmic Research, 2013, Vol. 51, No. 5, pp. 350–361.

Books:

1.   Quaternion and Biquaternion Models and Methods of Solid Body Mechanics and Their Applications. Geometry and Kinematics of Motion. Moscow. FIZMATLIT. 2006.

2.   Quaternion Models and Methods of Dynamics, Navigation and Motion Control. Moscow. FIZMATLIT. 2011.

Grants anf scientific projects: 
  1. Research project on developing theory and work algorithms of platformless inertial navigation systems of flying vehicles in geographical and orthodromic coordinate frames (1981-1989, Design Department of Industrial Automation, Saratov)
  2. Research project on scientific support and development of software for highly accurate motor control system of orbital space plate complex “Manipulator-three axes gyro-stabilized platform” (1990-1996, State space project “Mars”, RSA Space Research Institute (Moscow) and All-Russia Science and Research Institute of Transport Engineering (St. Petersburg))
  3. Research project “Quaternion and Biquaternion Models and Methods of Dynamics, Navigation and Motion Control”: project in aviation and space-rocket techniques (1993-1994); five three-years-long projects supported by the Russian Foundation for Basic Research (1993-2010): “Developing Quaternion and Biquaternion Models, Methods and Algorithms of Problem Solving in Mechanics, Navigation and Motion Control” (1993-1995), “Quaternion Models and Methods of Motion Control Theory of Space Crafts” (1996-1998), “Development of Quaternion Models and Methods of Space Flight Mechanics” (1999-2001), “Quaternion Models and Methods of 3D Non-Linear Problems of Space Craft Motion Management (2002-2004), “Quaternion Models and Methods of Dynamics and Motion Control of Space Crafts” (2005-2007); “Space Motion Control Using Quaternions” (2008-2010). Two editing projects supported by the Russian Foundation for Basic Research (2009, 2000-2001)
  4. Research project with Laboratory of Mechanics, Navigation and Motion Control of RAS Institute of Fine Mechanics and Control Problems in programs of Department of Engineering, Mechanics and Control Processes (1990-2008)
Post-graduate Students: 
Molodenkov, Aleksey Vladimirovich, 2001 г.
Zelepukina, Olga Vladimirovna
Biriukov, Vyacheslav Gennadievich
Kryshenko, Julia Vladimirovna
Панкратов Илья Алексеевич
Responsible for webpage content Blinkov Yuriy Anatolevich
Email: BlinkovUA@sgu.ru
Translator Efremova Lyudmila Sergeevna
Email: lyudmila.yefremova93@mail.ru