New robust stability and stabilizability conditions for linear parameter time varying polytopic systems

Uncertain Linear Parameter Varying (LPV) systems have a long history of interest in the control community. Those where uncertainties depend on time are more and more treated, for either analysis or design problems.

[1]  Carsten W. Scherer,et al.  LPV control and full block multipliers , 2001, Autom..

[2]  S. Bittanti,et al.  Affine Parameter-Dependent Lyapunov Functions and Real Parametric Uncertainty , 1996 .

[3]  A. Packard,et al.  Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback , 1994 .

[4]  Fan Wang,et al.  Improved stability analysis and gain-scheduled controller synthesis for parameter-dependent systems , 2002, IEEE Trans. Autom. Control..

[5]  Mekki Ksouri,et al.  Robust control analysis and synthesis for LPV systems under affine uncertainty structure , 2009, 2009 6th International Multi-Conference on Systems, Signals and Devices.

[6]  Zongli Lin,et al.  A descriptor system approach to robust stability analysis and controller synthesis , 2004, IEEE Trans. Autom. Control..

[7]  A. Packard.  Gain scheduling via linear fractional transformations , 1994 .

[8]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[9]  A. Kruszewski,et al.  Lois de commande pour une classe de modèles non linéaires sous la forme Takagi-Sugeno : Mise sous forme LMI , 2006 .

[10]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[11]  Patrizio Colaneri,et al.  Robust stability of time varying polytopic systems , 2006, Syst. Control. Lett..

[12]  Pedro L. D. Peres,et al.  A new LMI condition for the robust stability of linear time-varying systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[13]  Graziano Chesi,et al.  Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions , 2007, Autom..

[14]  W. Xie.  H2 gain scheduled state feedback for LPV system with new LMI formulation , 2005 .

[15]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[16]  Karolos M. Grigoriadis,et al.  LPV Systems with parameter-varying time delays: analysis and control , 2001, Autom..