 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 42, Issue 6 / 2007 | Next article >> |
| D. V. Balandin and M. M. Kogan, "Optimal output feedback stabilization," Mech. Solids. 42 (6), 871-882 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
6 |
Pages |
871-882 |
| Title |
Optimal output feedback stabilization |
| Author(s) |
D. V. Balandin (Lobachesvskii Nizhnii Novgorod State University, pr-t Gagarina 23, Nizhnii Novgorod, 603950, Russia, balandin@pmk.unn.runnet.ru)
M. M. Kogan (Nizhnii Novgorod State Architectural and Civil Engineering University, Il’inskaya 65, Nizhnii Novgorod, 603950, Russia, mkogan@nngasu.ru) |
| Abstract |
We show that optimal stabilization of a linear dynamic plant can be implemented on the basis of the solution of linear matrix inequalities even if the plant state cannot be measured. By way of example, we obtain optimal control laws for a double inverted pendulum assuming that only the lower link deflection angle is measured. |
| References |
| 1. | R. E. Kalman, P. L. Falb, and M. A. Arbib,
Topics in Mathematical System Theory
(McGraw-Hill, New York, 1969; Mir, Moscow, 1971). |
| 2. | H. Kvakernaak and R. Sivan,
Linear Optimal Control Systems
(Wiley, New York, 1972; Mir, Moscow, 1977). |
| 3. | Yu. N. Andreev, Control of Finite-Dimensional Linear
Objects (Nauka, Moscow, 1976). |
| 4. | D. V. Balandin and M. M. Kogan, Synthesis of Control Laws
on the Basis of Linear Matrix Inequalities (Fizmatlit, Moscow,
2007). |
| 5. | P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali,
The LMI Control Toolbox. For Use with Matlab
(The MathWorks Inc., Philadelphia, 1995). |
| 6. | R. A. Horn and C. R. Johnson,
Matrix Analysis
(Cambridge University Press, Cambridge, 1985; Mir, Moscow, 1989). |
| 7. | P. Gahinet and P. Apkarian,
"A Linear Matrix Inequality Approach to H∞ Control,"
Intern. J. Robust Nonlinear Control
4, 421-448 (1994). |
| 8. | D. V. Balandin and M. M. Kogan,
"Synthesis of Controllers on the Basis of a Solution of Linear Matrix
Inequalities and a Search Algorithm for Reciprocal Matrices,"
Avtomatika i Telemekhanika,
No. 1, 82-99 (2005)
[Automation and Remote Control (Engl. Transl.)
66 (1), 74-91 (2005)]. |
| 9. | D. V. Balandin and M. M. Kogan,
"Optimal Perturbation Damping in
Linear Controlled Systems," Differents. Uravn.
41 (11), 1475-1481 (2005)
[Differ. Equations (Engl. Transl.)
41 (11), 1550-1556 (2005)]. |
|
| Received |
20 January 2007 |
| Link to Fulltext |
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