Thermoelastic Strip-Shaped Plate Motion Control: Optimal Restoration of Deflection from Incomplete Measurements With Errors
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.
KeywordsFunction Versus Time Instant Motion Control Optimal Operation Incoming Signal
Unable to display preview. Download preview PDF.
- 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.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.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.V. R. Barsegyan and V. V. Airapetyan, “An observation problem for controlled membrane vibrations,” Uchen. Zap. EGU, 2, 21–26 (1997).Google Scholar
- 7.W. Nowacki, Dynamical Problems of Thermoelasticity [Russian translation], Mir, Moscow (1970).Google Scholar
- 9.N. N. Krasovskii, Theory of Motion Control [in Russian], Nauka, Moscow (1968).Google Scholar
- 10.A. B. Kurzhanskii, Control and Observation under Conditions of Uncertainty [in Russian], Nauka, Moscow (1977).Google Scholar