H_∞-control with state feedback for time-varying discrete systems

REFERENCES

• ANDERSON , B. D. O. , 1982 , Internal and external stability of linear time-varying systems . SIAM Journal on Control , 20 , 408 – 413 .
   Google Scholar
• ANDERSON , B. D. O. , and MOORE , J. B. , 1981 , Detectability and stabilizability of time-varying discrete-time linear systems . SIAM Journal on Control , 19 , 20 – 32 .
   Web of Science ®Google Scholar
• BASAR , T. , and BERNHARD , P. , 1991 , H^∞-optimal and related Minimax Design Problems ( Boston , Mass: Birkhäuser ).
   Google Scholar
• BASAR , T. , and OLSDER , G. J. , 1982 , Dynamic Noncooperative Game Theory ( New York : Academic Press ).
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• ICHIKAWA , A. , 1991 , Quadratic games and H∞-problems for time varying systems . International Journal of Control , 54 , 1249 – 1271 .
   Web of Science ®Google Scholar
• IGLESIAS , P. A. , and GLOVER , K. , 1991 , State-space approach to discrete-time H∞ control . International Journal of Control , 54 , 1031 – 1073 .
   Web of Science ®Google Scholar
• PETERSON , I. R. , 1988 , Disturbance attenuation and H∞-optimization a design method based on the algebraic Riccati equation . IEEE Transactions on Automatic Control , 32 , 427 – 429 ; 1989, Complete results for a class of state feedback disturbance attenuation problem. Ibid., 34, 1196–1199 .
   Google Scholar
• STOORVOGEL , A. A. , 1992 , The discrete time H∞ control problem with measurement eedback . SIAM Journal on Control , 30 , 182 – 202 .
   Web of Science ®Google Scholar
• YAESH , I. , and SHAKED , U. , 1990 , Minimum H∞-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games . IEEE Transactions on Automatic Control , 35 , 1061 – 1064 .
   Web of Science ®Google Scholar
• ZHOU , K. , and KHARGONEKAR , P. P. , 1988 , An algebraic Riccati equation approach to H∞ optimization . Systems Control Letters , 11 , 85 – 91 .
   Web of Science ®Google Scholar
• Communicated by Professor H. Kimura.
   Google Scholar