On bounded real matrix inequality dilation

References

• Apkarian , P , Tuan , HD and Bernussou , J . 2001 . Continuous-time Analysis, Eigenstructure Assignment, and h 2 Synthesis with Enhanced Linear Matrix Inequalities (LMI) Characterisations . IEEE Transactions on Automatic Control , 46 : 1941 – 1946 .
   Web of Science ®Google Scholar
• Boyd , S , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Control Theory . SIAM Studies in Applied Mathematics , 15
   Google Scholar
• Chilali , M and Gahinet , P . 1996 . H ∞ Design with Pole Placement Constraints: An LMI Approach . IEEE Transactions on Automatic Control , 41 : 358 – 363 .
   Web of Science ®Google Scholar
• Dettori , M and Scherer , WC . 2000 . New Robust Stability and Performance Conditions Based on Parameter Dependent Multiplier . Proceeding of 39th IEEE Conference on Decision and Control . 2000 . Sydney, NSW Australia
   Google Scholar
• Ebihara , Y and Hagiwara , T . 2002 . New Dilated LMI Characterisations for Continuous-time Control Design and Robust Multi-objective Control . Proceeding of American Control Conference . 2002 . pp. 47 – 52 . Anchorage
   Google Scholar
• Ebihara , Y and Hagiwara , T . 2004 . New Dilated LMI Characterisations for Continuous-time Control Multi-objective Controller Synthesis . Automatica , 40 : 2003 – 2009 .
   Web of Science ®Google Scholar
• Feron , E , Apkarian , A and Gahinet , P . 1995 . S-procedure for Analysis of Control Systems with Parametric Uncertainties via Parameter-dependent Lyapunov Functions . Proceeding of European Control Conference . 1995 . pp. 141 – 146 .
   Google Scholar
• Gahinet , P and Apkarian , A . 1994 . A Linear Matrix Inequalities Approach to H ∞ Control . International Journal of Robust and Nonlinear Control , 4 : 421 – 448 .
   Web of Science ®Google Scholar
• Hamada , Y , Yamaguchi , I and Kida , T . 2005 . Gain Scheduling Controller Synthesis with Spline-type Parameter-dependent Quadratic Forms via Dilated Linear Matrix Inequities . Proceeding of 44th IEEE Conference on Decision and Control, and the European Control Conference . 2005 . pp. 1313 – 1318 . Spain .
   Google Scholar
• Li , T and Jia , Y . 2003 . Improved LMI Representations for Bounded Real Criterion of Systems with Polytropic Type Uncertainty . Proceeding of American Control Conference . 2003 . pp. 851 – 856 . Denver : Colorado .
   Google Scholar
• Oliveira , MC , Bernussou , J and Geromel , JC . 1999a . A New Discrete-time Robust Stability Condition . Systems & Control Letters , 37 : 261 – 265 .
   Web of Science ®Google Scholar
• Oliveira , MC , Geromel , JC and Bernussou , J . 1999b . An LMI Optimisation Approach to Multi-Objective Controller Design for Discrete-time Systems . Proceeding of IEEE Conference Decision and Control . 1999b . pp. 3611 – 3616 .
   Google Scholar
• Pipeleers , G , Demeulenaerea , B , Sweversa , J and Vandenbergheb , L . 2009 . Extended LMI Characterisations for Stability and Performance of Linear Systems . Systems & Control Letters , 58 : 510 – 518 .
   Web of Science ®Google Scholar
• Sajjadi-Kia , S and Jabbari , F . 2007 . Dilated Matrix Inequalities for Control Design in Systems with Actuator Constraint . Proceeding of 46th IEEE Conference on Decision and Control . 2007 . pp. 5678 – 5683 . New Orleans, LA , , USA
   Google Scholar
• Scherer , CW . 1997 . A Full Block S-procedure with Application . Proceedings of IEEE Conference on Decision and Control . 1997 . pp. 2602 – 2607 . San Diego, CA , , USA
   Google Scholar
• Scherer , CW , Gahinet , P and Chilali , M . 1997 . Multiobjective Output-feedback Control via LMI Optimisation . IEEE Transactions on Automatic Control , 42 : 896 – 911 .
   Web of Science ®Google Scholar
• Shaked , U . 2001 . Improved LMI Representation for the Analysis and Design of Continuous-time Systems with Polytropic Uncertainty . IEEE Transactions on Automatic Control , 46 : 652 – 656 .
   Web of Science ®Google Scholar
• Shimomura , T , Masahiro , T and Fujii , T . 2001 . Extended-space Control Design with Parameter-dependent Lyapunov Function . Proceeding of 40th IEEE Conference on Decision and Control . 2001 . pp. 2157 – 2162 . Orlando, Florida , , USA
   Google Scholar
• Skelton , RE , Iwasaki , T and Rigoriadis , K . 1997 . A Unified Algebraic Approach to Linear Control Design , London : Taylor and Francis .
   Google Scholar
• Tuan , HD , Apkarian , A and Nguyen , TQ . 2001 . Robust and Reduced-ordered Filtering: New LMI-based Characterisations and Methods . IEEE Transactions on Signal Processing , 49 : 2975 – 2984 .
   Web of Science ®Google Scholar
• Wei , J and Lee , L . 2004 . Further Improvement on LMI Representations for the Analysis and Design of Continuous-time System with Polytropic Type Uncertainty . Proceeding of 5th Asian Control Conference . 2004 . pp. 1 – 7 .
   Google Scholar
• Wu , F . 2000 . An Unified Framework for LPV System Analysis and Control Synthesis . Proceeding of 39th IEEE Conference on Decision and Control . 2000 . Sydney, NSW Australia
   Google Scholar
• Zhou , K and Doyle , JC . 1997 . Essentials of Robust Control , Upper Saddle River, N.J. : Prentice Hall .
   Google Scholar