Abstract
The paper was written in continuation of a series of papers on construction of a control law stabilizing a wide range of motions of the controlled plant. At that, the law in essence must be independent of the plant's dynamic characteristics and the environment. These multimodal (general-purpose) laws must generate the control signal with the minimum computational burden and in the minimum time. These laws have other important characteristics concerning stability of the closed-loop system, its robustness, and so on. The paper studied a controlled plant moving under the action of aerodynamic and other forces. The distinction of the formulated control problem is due to the deficiency of the control actions because it is assumed that the controlled plant has only two control engines. This is the case in the well-known problem of controlling the descent vehicle by stabilizing its lateral motion on the hypersonic leg of flight in the upper atmosphere.
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REFERENCES
Byushgens, G.S., Goman, M.G., Zagainov, G.I., et al., Method of the Lyapunov Functions in the Problems of Designing Control of Aircraft Spatial Motion, Preprint of Inst. Control Sciences, Russ. Acad. Sci., Moscow, 1992.
Byushgens, G.S., Goman, M.G., Matyukhin, V.I., et al., Stabilizability and Universal Laws for Control of Motion of the Rigid Body with Regard for the Aerodynamic Actions, Dokl. Ross. Akad. Nauk, 1995, vol. 342, no.1, pp. 49-52.
Goman, M.G., Matyukhin, V.I., and Pyatnitskii, E.S., Control of Orientation of the Rigid Body Moving in Aerodynamic Medium, Dokl. Ross. Akad. Nauk, 1997, vol. 353, no.6, pp. 751-755.
Matyukhin, V.I., Universal'nye zakony upravleniya mekhanicheskimi sistemami (Universal Laws of Control of Mechanical Systems), Moscow: MAKS-Press, 2001.
Byushgens, G.S. and Studnev, R.V., Aerodinamika samoleta. Dinamika prodol'nogo i bokovogo dvizheniya (Aircraft Aerodynamics. Dynamics of Longitudinal and Lateral Motion), Moscow: Mashinostroenie, 1979.
Byushgens, G.S. and Studnev, R.V., Dinamika samoleta. Prostranstvennoe dvizhenie (Aircraft Dynamics. Spatial Motion), Moscow: Mashinostroenie, 1983.
Malkin, I.G., Teoriya ustoichivosti dvizheniya (Theory of Motion Stability), Moscow: Izd. Tekhn.-Teor. Lit., 1959.
Krasovskii, N.N., Nekotorye zadachi teorii ustoichivosti dvizheniya (Some Problems of the Theory of Motion Stability), Moscow: Fizmatgiz, 1959.
Matyukhin, V.I., Stability of Motion of Mechanical Systems with Regard for the Time-invariant Perturbations, Avtom. Telemekh., 1993, no. 11, pp. 124-134.
Matrosov, V.M., Anapol'skii, L.Yu., and Vasil'ev, S.N., Metod sravneniya v matematicheskoi teorii sistem (Method of Comparison in the Mathematical Theory of Systems), Novosibirsk: Nauka, 1980.
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Matyukhin, V.I. Stabilization of Motions of the Descent Vehicle in the Upper Atmosphere. Automation and Remote Control 64, 576–588 (2003). https://doi.org/10.1023/A:1023290314480
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DOI: https://doi.org/10.1023/A:1023290314480