Skip to main content
SpringerLink
Log in

Some Results of the Theory of Nonsearching Adaptive Systems and Their Application

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Some problems of flight vehicle control that date back to the 1950s and gave rise to the theory of adaptive control and, in the 1960s and 1970s, self-adjusting automatic pilots were discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. Osnovy avtomaticheskogo regulirovaniya. Teoriya (Fundamentals of Automatic Control. Theory), Solodovnikov, V.V., Ed., Moscow: GNTI MASHLIT, 1954.

    Google Scholar 

  2. Proc. Self Adaptive Flight Control Systems Symp., WADC Rept. 59-49, ASTIA Document AD 209389, Gregory, P.C., Ed., March, 1959.

  3. Adaptive Control Systems, Mishkin, E. and Braun, L., Eds., New York: McGraw Hill, 1961. Translated under the title Prisposablivayushchiesya avtomaticheskie sistemy, Moscow: Inostrannaya Literatura, 1963.

    Google Scholar 

  4. Krasovskii, A.A., Dinamika nepreryvnykh samonastraivayushchikhsya sistem (Dynamics of Continuous Self-Adjusting Systems) Moscow: Nauka, Fizmatlit, 1963.

    Google Scholar 

  5. Krasovskii, A.A., Theory of the Self-Organizing Optimal Binomial Controller in the Determinate Stochastic Approximation, Avtom. Telemekh., 1955, no. 5, pp. 97-113.

  6. Krasovskii, A.A., Theory of Science and Status of the Control Theory, Avtom. Telemekh., 2000, no. 4, pp. 3-19.

  7. Blondel, V., Gevers, M., and Linquist, A., Survey of the State of Systems and Control, Eur. J. Control, 1995, vol. 1, no. 1, pp. 5-23.

    Google Scholar 

  8. Rutkovskii, V.Yu. and Krutova, I.N., A Class of Self-adjusting Systems with Model: Principles of Design and Some Problems of the Theory, 1st All-Union Conf. on Theory and Practice of Self-Adjusting Systems (December 10-14, 1963), Moscow: Nauka, 1965, pp. 46-63.

    Google Scholar 

  9. Zemlyakov, S.D., Choice of Diagram and Analysis of the Nonsearching Self-Adjusting System with Reference Model, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1965, no. 3, pp. 157-168.

  10. Glumov, V.M., Zemlyakov, S.D., and Rutkovskii, V.Yu., Adaptive Coordinate-Parametric Control of Time-Variant Objects: Some Results And Lines of Development, Avtom. Telemekh., 1999, no. 6, pp. 100-116.

  11. Solodovnikov, V.V., Self-adjusting Automatic Control Systems: Some Principles of Design and Theoretical Issues, Sessiya AN SSSR po nauchnym problemam avtomatizatsii proizvodstva 1956 g. Osnovnye problemy avtomaticheskogo regulirovaniya i upravleniya (Session of the USSR Academy of Sciences on Scientific Implications of Industrial Automation, 1956. Main Problems of Automatic Control), Moscow: AN SSSR, 1957.

    Google Scholar 

  12. Saridis, G. N., Self-organizing Control of Stochastic Systems, New York: Dekker, 1977. Translated under the title Samoorganizuyushchiesya stokhasticheskie sistemy upravleniya, Moscow: Nauka, 1980.

    Google Scholar 

  13. Draper, J. and Li, Y.T., Principles of Optimalizing Control Systems and an Application to the Internal Combustion Engine, ASME Publication, 1951, pp. 160-168.

  14. Problemy proektirovaniya i razvitiya sistem avtomaticheskogo upravleniya i kontrolya GTD (Problems of Design And Development of the Automatic Control and Supervision Systems of the Gas Turbine Engines), Kusimov, S.T., Il'yasov, B.G., and Vasil'ev V.I., Eds., Moscow: Mashinostroenie, 1999.

    Google Scholar 

  15. Rastrigin, L.A., Sistemy ekstremal'nogo regulirovaniya (Systems of Extremal Control), Moscow: Nauka, 1974.

    Google Scholar 

  16. Kazakevich, V.V. and Rodov, A.B., Sistemy avtomaticheskoi optimizatsii (Systems of Automatic Optimization), Moscow: Energiya, 1977.

    Google Scholar 

  17. Analiticheskie samonastraivayushchiesya sistemy avtomaticheskogo upravleniya (Analytical Selfadjusting Automatic Control Systems), Solodovnikov, V.V., Ed., Moscow: Mashinostroenie, 1955.

    Google Scholar 

  18. Kuntsevich, V.M., Impul'snye samonastraivayushchiesya i ekstremal'nye sistemy avtomaticheskogo upravleniya (Pulse Self-adjusting and Extremal Automatic Control Systems), Kiev: Tekhnika, 1966.

    Google Scholar 

  19. Kozlov, Yu.M. and Yusupov, R.M., Bespoiskovye samonastraivayushchiesya sistemy (Nonsearching Selfadjusting Systems), Moscow: Nauka, 1969.

    Google Scholar 

  20. Kostyuk, V.I., Bespoiskovye gradientnye samonastraivayushchiesya sistemy (Nonsearching Gradient Selfadjusting Systems), Kiev: Tekhnika, 1969.

    Google Scholar 

  21. Kukhtenko, V.I., Dinamika samonastraivayushchikhsya sistem so stabilizatsiei chastotnykh kharakteristik (Dynamics of Self-adjusting Systems With Stabilization of the Frequency Characteristics), Moscow: Mashinostroenie, 1955.

    Google Scholar 

  22. Petrov, B.N., Rutkovskii, V.Yu., Krutova, I.N., and Zemlyakov, S.D., Printsipy postroeniya i proektirovaniya samonastraivayushchikhsya sistem upravleniya (Self-adjusting Control Systems: Principles of Structuring and Design), Moscow: Mashinostroenie, 1972.

    Google Scholar 

  23. Solodovnikov, V.V. and Shramko, L.S., Raschet i proektirovanie analiticheskikh samonastraivayushchikhsya sistem s etalonnymi modelyami (Calculation and Design of the Analytical Self-adjusting Systems with Reference Models), Moscow: Mashinostroenie, 1972.

    Google Scholar 

  24. Bodner, V.A. and Kozlov, M.S., Stabilizatsiya letatel'nykh apparatov i avtopiloty (Stabilization of the Flight Vehicles and Automatic Pilots), Moscow: Oborongiz, 1961.

    Google Scholar 

  25. Yadykin, I.B., On the Transfer Function in the Envelope, Avtom. Telemekh., 1966, no. 8, pp. 65-76.

  26. Tsypkin, Ya.Z., Informatsionnaya teoriya identifikatsii (Informational Identification Theory), Moscow: Nauka, Fizmatlit, 1995.

    Google Scholar 

  27. Whitaker, H.P., Jarom, J., and Kezer, A., Design of Model Reference Adaptive Control Systems for Aircraft, Massachuset. Technol. Inst. Lab. Rept., R-164, Sept., 1958.

  28. Evlanov, L.G., A Self-adjusting System Searching the Gradient by the Auxiliary Operator Method, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1963, no. 1.

  29. Margolis, M. and Leondes, C.T., A Parameter Tracking Servo for Adaptive Control Systems, IRE, PGAC, 1959.

  30. Donalson, D.D. and Leondes, C.T., A Model Referenced Parameter Tracking Technique for Adaptive Control Systems, IEEE Trans. Appl. Ind., 1963, no. 82, pp. 241-262.

  31. Rozenvasser, E.N. and Yusupov, R.M., Chuvstvitel'nost' sistem upravleniya (Sensitivity of Control Systems), Moscow: Nauka, 1981.

    Google Scholar 

  32. Spravochnik po teorii avtomaticheskogo upravleniya (Handbook on the Theory of Automatic Control), Krasovskii, A.A., Ed., Moscow: Nauka, 1987.

    Google Scholar 

  33. Hiza, J.G. and Li, C.C., Analytical Synthesis of Class Model-Reference Time-varying Control Systems, IEEE Trans. Appl. Ind., 1963, no. 9, pp. 432-441.

  34. Krutova, I.N. and Rutkovskii, V.Yu., Self-adjusting Control with Model, Parts 1, 2, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1964, no. 1, pp. 124-131, no. 2, pp. 143-152.

  35. Zemlyakov, S.D., Some Problems of Analytical Synthesis in Model Reference Control Systems by the Direct Method of Lyapunov, 1965 IFAC Symp. on Adaptive Control, New York: Plenum, 1966, pp. 175-179.

    Google Scholar 

  36. Shackloth, B. and Butchart, R.L., Synthesis of Model Reference Adaptive Systems by Luapunov's Second Method, 1965 IFAC Symp. on Adaptive Control, New York: Plenum, 1966, pp. 145-152.

    Google Scholar 

  37. Parks, P.C., Lyapunov Redesign of Model Reference Adaptive Control Systems, IEEE Trans. Autom. Control, 1966, vol. AC-11(3), pp. 362-367.

    Google Scholar 

  38. Zemlyakov, S.D. and Rutkovskii, V.Yu., Design of the Algorithms to Vary the Readjustable Coefficients in the Self-Adjusting Control System with the Reference Model, Dokl. Acad. Nauk SSSR, 1967, vol. 174, no. 1, pp. 47-49.

    Google Scholar 

  39. Landau, I.D., A Hyperstability Criterion for Model Reference Adaptive Control Systems, IEEE Trans. Autom. Control, 1969, vol. AC-15(5), pp. 552-554.

    Google Scholar 

  40. Zemlyakov, S.D. and Rutkovskii, V.Yu., Problem of Adjustable Perturbation and some Algorithms to Solve it, Dokl. Ross. Akad. Nauk, 1995, vol. 334, no. 4, pp. 460-462.

    Google Scholar 

  41. Zemlyakov, S.D. and Rutkovskii, V.Yu., Design of the Coordinate-Parametric Control Systems Based on the Nonsearching Self-Adjusting Systems With the Reference Model, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1973, no. 2, pp. 168-178.

  42. Yuan, J.S.C. and Wonham, W.M., Probing Signals for Model Reference Identification, Toronto Univ., 1976, Systems Control Rept. no 7613.

  43. Morgan, A.P. and Narendra, K.S., On the Stability of Nonautonomous Differentional Equations dx/dt = [A+B(t)]x with Skew Symmetric Matrix B(t), SIAM J. Contr. Optimiz., 1977, vol. 15, no. 1, pp. 163-176.

    Google Scholar 

  44. Nosov, V.R. and Prokopov, B.I., Asymptotic Stability on the Whole of the Self-Adjusting Systems with the Reference Model, Prikl. Mat. Mekh., 1977, vol. 41, no. 5, pp. 850-859.

    Google Scholar 

  45. Matrosov, V.M., On Stability of Motion, Prikl. Mat. Mekh., 1962, vol. 26, no. 5, pp. 885-896.

    Google Scholar 

  46. Malkin, I.G., Teoriya ustoichivosti dvizheniya (Theory of Motional Stability), Moscow: Nauka, 1966.

    Google Scholar 

  47. Zagainov, G.I., Polishchuk, A.N., and Tarasov, A.Z., System of Manual Control Realizing Separate Aircraft Motion, Trudy TSAGI, 1979, no. 2027.

  48. Zemlyakov, S.D. and Firsova, E.M., Fast Adjustment of the Time-Variant System by the Self-Sufficiency Criterion, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 1998, no. 1, pp. 76-83.

  49. Petrov, B.N., Rutkovskii, V.Yu., and Zemlyakov, S.D., Adaptivnoe koordinatno-parametricheskoe upravlenie nestatsionarnymi ob”ektami (Adaptive Coordinate-Parametric Control of the Time-Variant Objects) Moscow: Nauka, 1980.

    Google Scholar 

  50. Tarasov, A.Z. and Firsova, E.M., Adaptive Decentralized Control of the Maneuvering Aircraft at Great Angles of Attack, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 1997, no. 6, pp. 87-97.

  51. Rutkovskii, V.Yu., Zemlyakov, S.D., and Glumov, V.M., Algorithms to Solve Some Problems of Designing Self-perfecting Time-variant Dynamic Systems Based on the Adaptive Coordinate-Parametric Control, ISA RAN “Nelinei'naya dinamika i upravlenie. K 70-letiyu akademika S.V. Emel'yanova” (Institute of System Analysis of the Russian Academy of Sciences, “Nonlinear Dynamics and Control. Seventy Years of Academician S.V. Emel'yanov”), Moscow: Editorial URSS, 1999, pp. 183-207.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    S. D. Zemlyakov & V. Yu. Rutkovskii

Authors
  1. S. D. Zemlyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Yu. Rutkovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zemlyakov, S.D., Rutkovskii, V.Y. Some Results of the Theory of Nonsearching Adaptive Systems and Their Application. Automation and Remote Control 62, 1115–1131 (2001). https://doi.org/10.1023/A:1010261927806

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010261927806

Keywords

Search

Navigation