Advanced search
Publication Cover
International Journal of Control Volume 57, 1993 - Issue 2
Submit an article Journal homepage
23
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

General formulae for suboptimal H∞ control over a finite horizon

M. B. SUBRAHMANYAM Flight Control, Code 6012, Naval Air Warfare Center, Aircraft Division, Warminster, PA, 18974-5000, U.S.A
Pages 365-375 | Received 15 May 1991, Published online: 25 Jun 2007

REFERENCES

  • DOYLE , J. C. , GLOVER , K. , KHARGONEKAR , P. P. , and FRANCIS , B. A. , 1989 , State-space solutions to standard H2 and H∞, control problems. IEEE Transactions on Automatic Control , 34 , 831 – 847 .
  • KHARGONEKAR , P. P. , 1991 , State-space H∞ control theory. Mathematical System Theory the influence of R. E. Kalman , edited by A. C. Antoulas ( Berlin Springer Verlag ).
  • KHARGONEKAR , P. P. , NAGPAL , K. M. and POOLLA , K. R. , 1991 , H∞ control with transients. SIAM Journal on Control and Optimization , 29 , 1373 – 1393 .
  • RAVI , R. , NAGPAL , K. M. , and KHARGONEKAR , P. P. , 1991 , H∞ control of linear time-varying systems a state space approach. SIAM Journal on Control and Optimization , 29 , 1394 – 1413 .
  • SAFONOV , M. G. , LIMEBEER , D. J. N. , and CHIANG , R. Y. , 1989 , Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts. International Journal of Control , 50 , 2467 – 2488 .
  • SUBRAHMANYAM , M. B. , 1990 a, Optimal Control with a Worst-Case Performance Criterion and Applications. Lecture Notes in Control and Information Sciences , No. 145 ( Berlin Springer Verlag ); |ot1990 b, Synthesis of finite-interval H∞ controllers by state-space methods. AIAA Journal of Guidance, Control, and Dynamics, 13, 624–629; 1990 c, Worst-case performance measures for linear control problems. Proceedings of the IEEE Conference on Decision and Control, Honolulu, Hawaii, pp. 2439–2443 1992 a, Optimal disturbance rejection and performance robustness in linear systems. Journal of Mathematical Analysis and Applications, 164, 130–150; 1992 b, Worst-case optimal control over a finite horizon. Journal of Mathematical Analysis and Applications. To be published.
  • SUBRAHMANYAM , M. B. , and STEINBERG , M. , 1990 , Model reduction with a finite-interval |jtH∞ criterion. Proceedings of the AIAA Guidance, Navigation and Control Conference , Portland , Oregon , pp. 1419 – 1427 .
  • TADMOR , G. , 1990 , Worst-case design in the time domain the maximum principle and the standard H∞ problem. Mathematics of Control, Signals and Systems , 3 , 301 – 324 .
  • PONTRYAGIN , L. S. , BOLTYANSKI , V. G. , GAMKRELIDZE , R. V. , and MISCHENKO , E. F. , 1962 , The Mathematical Theory of Optimal Processes ( New York Interscience Publishers ).
  • Communicated by Professor M. Morari.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.