References
- Assunção , E and Peres , PLD . 2002 . A global optimization approach for the problem of controller order reduction . 15th IFAC World Congress . 2002 , Barcelona, Spain. pp. 690 – 695 .
-
Assunção
,
E
.
2000
.
Local and Global Optimizations of the
e
-Model Reduction Problems using Linear Matrix Inequalities , Campinas, , Brazil : University of Campinas, in Portuguese . PhD thesis
- Assunção , E and Peres , PLD . 1999a . A global optimization approach for the -norm model reduction problem . Proceedings of the 38th IEEE Conference on Decision and Control . 1999a , Phoenix, AZ, USA. pp. 1857 – 1862 .
- Assunção , E and Peres , PLD . 1999b . A and/or -norm model reduction of uncertain discrete-time systems . Proceedings of the 1999 American Control Conference . 1999b , San Diego, CA, USA. pp. 4466 – 4470 .
- Balakrishnan , V and Boyd , S . 1991 . Computation of the worst-case co-variance for linear systems with uncertain parameters . Proceedings of the 30th IEEE Conference on Decision and Control . 1991 , Brighton, England. Vol. 1 , pp. 1941 – 1942 .
- Balakrishnan , V and Boyd , S . 1992 . Control and Dynamic Systems: Advances in Theory and Aplications C. T. Leondes
- Boyd , S , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . “ SIAM Studies in Applied Mathematics ” . In Linear Matrix Inequalities in Systems and Control Theory USA
- Fujioka , H and Hoshijima , K . 1997 . Bounds for the BMI eigenvalue problem–a good lower bound and a cheap upper bound . Transactions of the Society of Instrument and Control Engineers , 33 : 616 – 621 .
- Gahinet , P , Nemirovski , A , Laub , AJ and Chilali , M . 1995 . LMI Control Toolbox Users Guide , Natick, MA, , USA : The Mathworks Inc. .
- Glover , K . 1984 . All optimal Hankel-norm approximations of linear multivariable systems and their L1-error bounds . Int. J. Cont. , 39 ( 6 ) : 1115 – 1193 .
- Goh , KC , Safonov , MG and Papavassilopoulos , GP . 1994 . A global optimization approach for the BMI problem . Proceedings of the 33rd IEEE Conference on Decision and Control . 1994 , Lake Buena Vista, FL, USA. pp. 2009 – 2014 .
- Helmersson , A . 1994 . Model reduction using LMIs . Proceedings of the 33rd IEEE Conference on Decision and Control . 1994 , Lake Buena Vista, FL, USA. Vol. 4 , pp. 3217 – 3222 .
- Huang , XX , Yan , WY and Teo , KL . 2001 . near-optimal model reduction . IEEE Transactions on Automation Control , AC-26 ( 8 ) : 1279 – 1284 .
- Joshi , SM and Kelkar , AG . 1998 . Inner loop control of supersonic aircraft in the presence of aeroelastic modes . IEEE Trans. Cont. Sys. Tech. , 6 : 730 – 739 .
- Maranas , CD and Floudas , CA . 1997 . Global optimization in generalized geometric programming . Comp. & Chem. Eng. , 21 : 351 – 369 .
- Moore , BC . 1981 . Principal component analysis in linear systems: controllability, observability, and model reduction . IEEE Trans. on Auto. Cont. , AC26 ( 1 ) : 17 – 32 .
- Ogata , K . 1997 . Modern Control Engineering , New Jersey, , USA : Prentice Hall .
- Palhares , RM , Takahashi , RHC and Peres , PLD . 1997 . and guaranteed costs computation for uncertain linear systems . Int. J. Sys. Sci. , 28 : 183 – 188 .
- Ryoo , HS and Sahinidis , NV . 1995 . Global optimization of nonconvex NLPs and MINLPs with applications in process design . Com. & Chem. Eng. , 19 : 551 – 566 .
- Valentin , C and Duc , G . 1997 . LMI-based algorithms for frequency weighted optimal H2-norm model reduction . Proceedings of the 36th IEEE Conference on Decision and Control . 1997 , San Diego, CA, USA. Vol. 1 , pp. 767 – 772 .
- VanAntwerp , JG and Braatz , RD . 2000 . A tutorial on linear and bilinear matrix inequalities . J. Process Cont. , 10 : 363 – 385 .
- VanAntwerp , JG , Braatz , RD and Sahinidis , NV . 1997 . Globally optimal robust control of large scale sheet and film processes . Proceedings of the 1997 American Control Conference . 1997 , Albuquerque, New Mexico, USA. Vol. 3 , pp. 1473 – 1477 .
- Zhou , K , Doyle , CJ and Glover , K . 1996 . Robust and Optimal Cont. , Upper Saddle River, NJ : Prentice Hall .