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IssuesArchive of Issues2003-4pp.15-20

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I. A. Mukhametzyanov, "On the invariance conditions and qualitative stabilization of the reference orientation of a pursuing body," Mech. Solids. 38 (4), 15-20 (2003)
Year 2003 Volume 38 Number 4 Pages 15-20
Title On the invariance conditions and qualitative stabilization of the reference orientation of a pursuing body
Author(s) I. A. Mukhametzyanov (Moscow)
Abstract Continuous and bang-bang control algorithms are constructed to provide the asymptotic stability "in large" for a desired orientation of the pursuing body with an optimal transient behavior. In addition, an algorithm is proposed for constructing the vector of distribution of random disturbances among the control channels such that the prescribed program manifold and the stabilization quality of this manifold are invariant to these disturbances.
References
1.  I. A. Mukhametzyanov, "Control of a pursuer body," Avtomatika i Telemekhanika [Automatics and Remote Control], No. 11, pp. 5-12, 1974.
2.  I. A. Mukhametzyanov, "On the utilization of a family of Lyapunov functions, PMM [Applied Mathematics and Mechanics], Vol. 64, No. 5, pp. 869-880, 2000.
3.  I. A. Mukhametzyanov, "Construction of equations of reference motions," Avtomatika i Telemekhanika [Automatics and Remote Control], No. 10, pp. 16-23, 1972.
4.  V. V. Rumyantsev, "On the optimal stabilization of controlled systems," PMM [Applied Mathematics and Mechanics], Vol. 34, No. 3, pp. 440-456, 1970.
5.  N. N. Krasovskii, "Stabilization problems for controlled motions," in I. G. Malkin, Theory of Stability of Motion [in Russian], Appendix 4, pp. 475-514, Nauka, Moscow, 1966.
6.  A. S. Andreev and S. P. Bezglasnyi, "On the stabilization of controlled systems with a guaranteed estimate of the control performance," PMM [Applied Mathematics and Mechanics], Vol. 61, No. 1, pp. 44-51, 1997.
7.  E. S. Pyatnitskii, "The concept of decomposition in control of mechanical systems," Doklady AN SSSR, Vol. 300, No. 2, pp. 300-303, 1988.
Received 05 November 2002
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