Output-feedback mixed H_∞/H₂ control— a dynamic game approach

REFERENCES

• BERNSTEIN , D. , and HADDAD , W. , 1989 , LQG Control with H∞ performance bound a Riccati equation approach. IEEE Transactions on Automatic Control , 34 , 293 – 305 .
   Web of Science ®Google Scholar
• BERNSTEIN , D. HADDAD , W. , and MUSTAFA , D. , 1991 , Mixed H2/H∞ regulation and estimation the discrete-time case. Systems and Control Letters , 16 , 235 – 247 .
   Google Scholar
• DOYLE , J. , 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 .
   Web of Science ®Google Scholar
• KHARGONEKAR , P. , and ROTEA , M. , 1991 , Mixed ∞/H2 control a convex optimization approach. IEEE Transactions on Automatic Control , 36 , 824 – 836 .
   Web of Science ®Google Scholar
• KWAKERNAAK , H. , and SIVAN , R. , 1972 , Linear Optimal Control Systems ( New York Wiley ).
   Google Scholar
• LIMEBEER , D. , ANDERSON , B. , and HANDEL , B. 1994 , A Nash game approach to mixed H2/H∞ control. IEEE Transactions on Automatic Control , 39 , 69 – 81 .
   Web of Science ®Google Scholar
• LIMEBEER , D. , and SHARED , U. , 1991 , New results in H∞-filtering. In Proceedings of the 9th International Symposium on MTNS , Kobe , Japan , pp. 317 – 322 .
   Google Scholar
• LIMEBEER , D. , GREEN , M. , and WALKER , D. , 1989 , Discrete-time H∞ control. Proceedings of the 28th IEEE Control and Decision Conference , Tampa , Florida , U.S.A ., pp. 392 – 396 .
   Google Scholar
• RHEE , I. , and SPEYER , J. , 1991 , A game theoretic approach to the finite time disturbance attenuation problem. IEEE Transactions on Automatic Control , 36 , 1021 – 1032 .
   Web of Science ®Google Scholar
• ROTEA , M. , and KHARGONEKAR , P. , 1992 , H2 optimal control with H∞ constraint the state-feedback case. Automatica , 27 , 307 – 316 .
   Google Scholar
• UCHIDA , K. , and FUJITA , M. , 1989 , On the central controller characterization via differential games and LEQG control problems. Systems and Control Letters , 13 , 9 – 13 .
   Web of Science ®Google Scholar
• WILLEMS , J. , 1971 , Least squares stationary optimal control and the algebraic Riccati equation. IEEE Transactions on Automatic Control , 16 , 621 – 634 .
   Web of Science ®Google Scholar
• †Tel-Aviv University, Faculty of Engineering, Department of Electrical Engineering–Systems, Tel-Aviv 69978, Israel.
   Google Scholar