A study of \(H_{\infty{}}\) norm and variance-constrained design using dynamic output feedback for linear discrete systems. (English) Zbl 0782.93033
Author’s abstract: The problem of \(H_ \infty\) norm and variance- constrained design is to find controllers such that the closed-loop transfer function has an \(H_ \infty\) norm less than a specified scalar such that the root-mean-squared values of individual states are less than specified constants. In this paper, dynamic output feedback controllers are used to developed a technique for achieving both \(H_ \infty\) norm constraint and variance constraints for linear stochastic discrete systems.
Reviewer: G.Conte (Ancona)
MSC:
| 93B36 | \(H^\infty\)-control |
| 93E99 | Stochastic systems and control |
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 93C05 | Linear systems in control theory |
Keywords:
\(H_ \infty\) norm; closed-loop transfer function; dynamic output feedback controllers; linear stochastic discrete systemsReferences:
| [1] | DOI: 10.1080/00207178708547393 · Zbl 0634.93024 · doi:10.1080/00207178708547393 |
| [2] | DOI: 10.1109/9.16419 · Zbl 0674.93069 · doi:10.1109/9.16419 |
| [3] | CHUNG H. Y., Control–Theory and Advanced Technology 6 pp 655– (1990) |
| [4] | CHUNG H. Y., Proceedings of the 14th National Symposium on Automatic Control (1990) |
| [5] | CHUNG H. Y., JSME International Journal Series III 33 pp 559– (1990) |
| [6] | DOI: 10.1109/TAC.1987.1104443 · Zbl 0613.93066 · doi:10.1109/TAC.1987.1104443 |
| [7] | DOI: 10.1109/9.29425 · Zbl 0698.93031 · doi:10.1109/9.29425 |
| [8] | DOI: 10.1137/0325046 · Zbl 0628.93011 · doi:10.1137/0325046 |
| [9] | DOI: 10.1016/0167-6911(90)90013-K · Zbl 0699.93025 · doi:10.1016/0167-6911(90)90013-K |
| [10] | DOI: 10.1016/0167-6911(91)90011-3 · Zbl 0728.93033 · doi:10.1016/0167-6911(91)90011-3 |
| [11] | HADDAD W. M., IEEE Conference on Decision and Control (1989) |
| [12] | DOI: 10.1080/00207178708933880 · Zbl 0626.93080 · doi:10.1080/00207178708933880 |
| [13] | DOI: 10.1109/9.58499 · Zbl 0719.93075 · doi:10.1109/9.58499 |
| [14] | SKELTON R. E., International Journal of Control 49 pp 1773– (1989) |
| [15] | DOI: 10.1109/TAC.1981.1102603 · Zbl 0474.93025 · doi:10.1109/TAC.1981.1102603 |
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