| Title:
|
Decentralized stabilization and strong stabilization of a bicoprime factorized plant (English) |
| Author:
|
Baksi, D. |
| Author:
|
Patel, V. V. |
| Author:
|
Datta, K. B. |
| Author:
|
Ray, G. D. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
[235]-253 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for which existing methods can be used. There are a few matrix identities established in this paper which are of independent interest in Control Theory. (English) |
| Keyword:
|
decentralized stabilization |
| Keyword:
|
large scale system |
| Keyword:
|
bi-coprime factorized plant |
| Keyword:
|
control theory |
| MSC:
|
93A14 |
| MSC:
|
93A15 |
| MSC:
|
93D15 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1274.93239 |
| idMR:
|
MR1690949 |
| . |
| Date available:
|
2009-09-24T19:25:18Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135284 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Francis B. A.: A Course in $H_\infty $ Control Theory.Springer–Verlag, Berlin 1987 |
| Reference:
|
[4] Ikeda M.: Decentralized control of large scale systems.In: Three Decades of Mathematical System Theory: A Collection of Surveys on the Occasion of the Fiftieth Birthday of Jan C. Willems (H. Nijmeijer and J. M. Schumacher, eds.), Springer–Verlag, Berlin 1989 Zbl 0683.93009, MR 1025792 |
| Reference:
|
[5] Ikeda M., Siljak D. D.: On decentrally stabilizable large–scale systems.Automatica 16 (1980), 331–334 Zbl 0432.93004, MR 0575188, 10.1016/0005-1098(80)90042-4 |
| Reference:
|
[6] Saeks R., DeCarlo R. A.: Interconnected Dynamical Systems.Marcel Dekker, New York 1981 |
| Reference:
|
[7] Siljak D. D.: Large Scale Dynamic Systems: Stability and Structure.North Holland, New York 1978 Zbl 0384.93002, MR 0595867 |
| Reference:
|
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| Reference:
|
[9] Vidyasagar M.: Control System Synthesis: A Factorization Approach.MIT Press, Cambridge, MA 1985 Zbl 0655.93001, MR 0787045 |
| Reference:
|
[10] Youla D. C., Bongiorno J. J., Lu C. N.: Single loop feedback stabilization of linear multivariable dynamical plants.Automatica 10 (1974), 155–173 Zbl 0276.93036, MR 0490293, 10.1016/0005-1098(74)90021-1 |
| . |
