Prof. Alexander  Petrovich Kurdyuko, PhD

Head of Laboratory, V.A. Trapeznikov Institute of Control Sciences,

Of Russian Academy of Sciences,

Moscow, Russia

September 5, 2018

 http://www.ipu.ru/en/node/12750

http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=43074

 

Plenary:    σ-entropy control – new concept in robust control

Abstract

The automatic control theory solves two basic problems. The first problem is to design a control that ensures the stability of a closed-loop control system. The second problem is to design a control that should provide the chosen quality (or a set of quality criteria) for the closed-loop system.

The robust control theory emerged in the late 1980s provided the required stability and quality requirements for a set of control systems. Moreover, the robustness was related to both the uncertain parameters and uncertainty to the system structure. However, until the mid-1990s the uncertainty in signal descriptions was not considered when robust systems were designed. This is understandable for linear system robust control design with traditional quality criteria. For a linear control system, the stability does not depend on the signals functioning in the linear system, and the characteristic of the quality criterion does not depend on the uncertainties characterizing the input disturbances. Assumptions about the input signals and in general about the signals circulating in the system were present only as assumptions in problem statements. Examples of these requirements are the requirements of the Gaussian white noise in the LQG problem or the quadratic integrability of the input in the H_infinity problem.

Anisotropy-based control theory for linear discrete time-invariant stochastic systems appeared in the early 90s of the previous century. This theory takes into account the lack of knowledge of the exact probability density function of the signal circulating in the system. The basic concept of anisotropy theory is the concept of the anisotropy of a random vector and the mean anisotropy of a random sequence. The mean anisotropy characterizes the "chroma" of a random sequence, its difference from Gaussian white noise. Under anisotropic-based theory, the performance functional of the closed-loop system depending on the uncertain signal description in the system was introduced. This performance functional was called an anisotropic norm by the authors. It turned out that the anisotropic norm value of the system lies between values of H_2 and H_infty norms of the system and these norms are its limiting cases.

Within the framework of the anisotropic control theory for linear discrete stochastic systems, problems of control and filtering have been solved. The problems of synthesis of optimal and suboptimal control and filtering, robust in relation to variations in system parameters, the problem of control synthesis with non-centered perturbations. Also, anisotropy-based control theory was generalized to descriptor systems.

For a long time (25 years), it was not possible to generalize the ideology of anisotropic control to continuous and deterministic systems. The description of one of the approaches to the propagation of the ideology of anisotropic control to continuous and deterministic systems is devoted to the present report. Within the framework of the new approach, the concept of "chroma" sequence has changed. The new concept was called σ-entropy. Analogously to the anisotropic norm, the concept of the σ-entropy norm was introduced. For linear continuous, discrete, stochastic and deterministic systems, the σ-entropy norm was calculated.

Some problems of σ-entropy optimal and suboptimal synthesis are discussed in this report.

 

 Short-Bio

 

 

Education

1966-1972 Master, Department of Applied Mathematics and Cybernetics Moscow Institute of Electrical Engineering, Moscow, Russia, M.Sc. Degree 1972
1976–1979 PhD student, Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia, Ph.D on Information theory, in ICS RAS, 1980 ,
Title " Constructing codes for channels with multiple access"
2001 Habilitation, Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia, D.Sc. on Automatic Control, in ICS RAS, 2001

 

Supervisors

In ICS RAS Academician B.N. Petrov from 1976-1979
 

Employment and Research Experience

2006present Head of Laboratory, V.A. Trapeznikov Institute of Control Sciences, Moscow, Laboratory 1 “Dynamic of control systems”, Profsoyuznaya 65, 117997 Moscow, Russia
2003–2006 Principal researcher, V.A. Trapeznikov Institute of Control Sciences, Moscow, Labo- ratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
2001-2003 Leading researcher, V.A. Trapeznikov Institute of Control Sciences, Moscow, Labo- ratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
1983-2001 Senior researcher, V.A. Trapeznikov Institute of Control Sciences, Moscow, Labo- ratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
1977-1983 Junior researcher, V.A. Trapeznikov Institute of Control Sciences, Moscow, Labo- ratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
1975-1977 Senior engineer, V.A. Trapeznikov Institute of Control Sciences, Moscow, Laboratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
1972-1975 Engineer, V.A. Trapeznikov Institute of Control Sciences, Moscow, Laboratory 1, Profsoyuznaya 65, 117997 Moscow, Russia
 

Lenguajes

Russian Mother tongue
English Intermediate
 

Research Experience and Interests

  Information theory, adaptive control, H_2 and H_infinity optimization, robust control, stochastic robust control and estimation,
application to control of dynamic systems – flight control, application multicriteria control systems
 

Teaching Experience

  Some Courses in control and robust and stochastic robust control
1996-present in in Bauman Moscow State University, Moscow, Russia
2008-2016   
in Moscow Institute of Physics and Technology State University, Moscow, Russia
  Under the leadership of A.P. Kurdyukov in the period from 2007 to 2017, 7 PhD theses (mathematician) were defended in Russia
 

Academic awards:

2013  
B.N. Petrov’s Award of Presidium of Russian Academy of Sciences
2011, 2015
Letov’s Award of ICS RAS
2004, 2008  
B.N. Petrov’s Award of ICS RAS
2007
Kulebakin’s B.N. Petrov’s Award of
 

Professional Membership

  Secretary of Russian National IFAC Committee.
  Academician of Academy of Navigation and Motion Control (Russia)
  Associate Editor of Journals:
  * "Problems of Control” Russian Journal
  *   "Control of Large Scale Systems ", Russian Journal
  *   "Automation and Remote Control", Springer-Verlag
 

Books and book chapters

  Alexander Kurdyukov is the author and co-author of 7 (seven) science monographies in different publishers in Russia and one monography in English: https://www.springer.com/us/book/9783319784786
 

Papers in Journals and in Conferences Proceedings

 

Alexander Kurdyukov is the author of more 100 printed papers and reports. Information about these publications can be founded in https://www.researchgate.net/profile/Alexander_Kurdyukov and https://elibrary.ru/author_items.asp?authorid=2319&pubrole=100&show_refs=1&show_option=0

   
   

 

 


 

 

 

 


 

Awaiting confirmation of the Keynote speakers, more information will be published in this page.

Important Dates

Conference:

September  5-7, 2018 

Workshops/Tutorial Courses:

September  3-4, 2018

Full Manuscript:

Extended to June 15, 2018  

Review Notification:

Before July 6, 2018

Final Revised manuscript:

August  3, 2018

 


 

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