论文信息 - Robust Performance Analysis of Discrete-Time Periodic Systems

Robust Performance Analysis of Discrete-Time Periodic Systems

Chapter 7 is dedicated to the analysis of discrete-time periodic systems by means of SV-LMIs. For that special case the SV-LMIs have interesting non-causal system interpretations. Similarly to the LTI case, SV-LMIs are effective for reducing the conservatism of the analysis results when dealing with discrete-time periodic systems affected by polytopic uncertainties.

[1] Dimitri Peaucelle,et al. Analysis of Uncertain Discrete-Time Linear Periodic Systems based on System Lifting and LMIs , 2010, Eur. J. Control.

[2] David M. Auslander,et al. Control and dynamic systems , 1970 .

[3] Patrizio Colaneri,et al. The extended periodic lyapunov lemma , 1985, Autom..

[4] Johan Löfberg,et al. YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[5] Cishen Zhang,et al. Analysis of H2 and H∞ performance of discrete periodically time-varying controllers , 1997, Autom..

[6] Dimitri Peaucelle,et al. Robust Hinfinity performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs , 2007, Syst. Control. Lett..

[7] S. Bittanti,et al. Analysis of discrete-time linear periodic systems , 1996 .

[8] Dimitri Peaucelle,et al. Periodically time-varying dynamical controller synthesis for polytopic-type uncertain discrete-time linear systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[9] S. Bittanti,et al. Periodic Systems: Filtering and Control , 2008 .

[10] Y. Ebihara. Periodically Time‐Varying Memory State‐Feedback for Robust H2 Control of Uncertain Discrete‐Time Linear Systems , 2013 .

[11] Jos F. Sturm,et al. A Matlab toolbox for optimization over symmetric cones , 1999 .

[12] C. de Souza,et al. An LMI approach to stabilization of linear discrete-time periodic systems , 2000 .