ℋ_∞and ℋ₂ guaranteed costs computation for uncertain linear systems

References

• BOYD , S. , and BALAKRISHNAN , Y. , 1990 , A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L∞ norm . System Control Letters , 15 , 1 – 7 .
   Web of Science ®Google Scholar
• BOYD , S. , EL-GHAOUI , L. , FERON , E. , and BALAKRISHNAN , V. , 1994 , Linear Matrix Inequalities in System and Control Theory . ( Philadelphia , Pennsylvania , U.S.A. : SIAM ).
   Google Scholar
• BRUINSMAN , N. A. , and STEINHUCH , M. , 1990 , A fast algorithm to compute the K∞ norm of a transfer function matrix . System Control Letters , 14 , 287 – 293 .
   Web of Science ®Google Scholar
• CHANG , B. C. , LI , X. P. , YEH , H. H. , and BANDA , S. S. , 1990 , Computation of the H∞ norm of a transfer function . Proceedings of the American Control Conference , San Diego , California , U.S.A. , pp. 2578 – 2582 .
   Google Scholar
• CONSIGLIO , A. , 1994 , How to control stock markets . International Journal of Systems Science , 25 , 2245 – 2253 .
   Web of Science ®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 all Automatic Control , 34 , 831 – 847 .
   Web of Science ®Google Scholar
• GEROMEL , J. C. , PERES , P. L. D. , and SOUZA , S. R. , 1992 , H2 guaranteed cost control for uncertain continuous-time linear systems . System Control Leiters , 19 , 23 – 27 ; 1993 , H2 guaranteed cost control for uncertain discrete-time linear systems . International Journal of Control , 57 , 853 – 864 ; 1994 , H∞ control of discrete-time uncertain systems . IEEE Transactions on Automatic Control , 39 , 1072 – 1075 ; 1995 , A convex approach to the mixed H2/H∞ control problem for discrete-time uncertain systems . SIAM Journal on Control Optimization , 33 , 1816 – 1833 .
   Web of Science ®Google Scholar
• HINRICHSEN , D. , KELB , B. , and LINNEMANN , A. , 1989 , An algorithm for the computation of the structured complex stability radius . Automatica , 25 , 771 – 775 .
   Web of Science ®Google Scholar
• KAVRANOGLU , D. , 1994 , H∞ norm approximation of systems by constant matrices and related results . IEEE Transactions on Automatic Control , 39 , 1006 – 1009 .
   Web of Science ®Google Scholar
• KHARGONEKAR , P. P. , and ROTEA , M. A. , 1991 , Mixed H2/H∞ control: a convex optimization approach . IEEE Transactions on Automatic Control , 36 , 824 – 837 .
   Web of Science ®Google Scholar
• PERES , P. L. D. , GEROMEL , J. C. , and SOUZA , S. R. , 1993 , H∞ guaranteed cost control for uncertain continuous time linear systems . System Control Letters , 20 , 413 – 418 ; 1994 ; H∞ control design by static output feedback . In IFAC Symposium all Robust Control Design , Rio de Janeiro, Brazil , pp. 243 – 248 .
   Web of Science ®Google Scholar
• ROBEL , G. , 1989 , On computing the infinity norm . IEEE Transactions on Automatic Control , 34 , 882 – 884 .
   Web of Science ®Google Scholar
• ZHOU , K. , KHARGONEKAR , P. P. , STOUSTRUP , J. , and NIEMANN , H. H. , 1995 , Robust performance of systems with structured uncertainties in state space . Automatica , 31 , 249 – 255 .
   Web of Science ®Google Scholar