Journal of Mathematical Sciences

, Volume 210, Issue 2, pp 148–154 | Cite as

Thermoelastic Strip-Shaped Plate Motion Control: Optimal Restoration of Deflection from Incomplete Measurements With Errors

  • V. R. Barsegyan


We consider a problem of motion control for a thermoelastic strip-shaped plate, namely, the problem of optimal restoration of its deflection in the presence of errors in temperature measurements. By the separation of variables, this problem is reduced to a problem for an infinite system of ordinary differential equations involving real signal observation. For each harmonic, using the incoming signal boost, we construct a universal optimal operation that allows us to restore the plate’s deflection at any of its points and at any time instant.


Function Versus Time Instant Motion Control Optimal Operation Incoming Signal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. I. Korotkii, “Inverse dynamical problems of control for systems with distributed parameters,” Izv. Vysh. Ucheb. Zaved. Mat., No. 11, 101–124 (1995).Google Scholar
  2. 2.
    G. L. Degtyarev and T. K. Sirazendinov, “Optimal control synthesis in systems with distributed parameters with incomplete measurements of state (a review),” Izv. AN SSSR. Kiber., No. 2, 123–136 (1983).Google Scholar
  3. 3.
    V. R. Barsegyan, “String vibration observation problem,” in: 1st Int. Conf. Control of Oscillations and Chaos. St. Petersburg, 1997, Vol. 2, pp. 309–310.Google Scholar
  4. 4.
    V. R. Barsegyan and V. V. Airapetyan, “An observation problem for controlled membrane vibrations,” Uchen. Zap. EGU, 2, 21–26 (1997).Google Scholar
  5. 5.
    V. R. Barsegyan, “Systems with distributed parameters: a problem of optimal restoration of state from incomplete measurements with errors,” Izv. NAN RA, Mekh., 57, No. 1, 70–75 (2004).MathSciNetGoogle Scholar
  6. 6.
    L. A. Movsisyan and M. S. Gabrielyan, “A problem of motion control for a thermoelastic strip-shaped plate,” ibid., 48, No. 3, 15–22 (1995).MathSciNetGoogle Scholar
  7. 7.
    W. Nowacki, Dynamical Problems of Thermoelasticity [Russian translation], Mir, Moscow (1970).Google Scholar
  8. 8.
    V. V. Bolotin, “Equation of nonstationary thermal fields in thin shells with heat sources,” Prikl. Mat. Mekh., 24, No. 2, 361–363 (1960).MathSciNetGoogle Scholar
  9. 9.
    N. N. Krasovskii, Theory of Motion Control [in Russian], Nauka, Moscow (1968).Google Scholar
  10. 10.
    A. B. Kurzhanskii, Control and Observation under Conditions of Uncertainty [in Russian], Nauka, Moscow (1977).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia

Personalised recommendations