Stability analysis for a class of networked/embedded control systems: A discrete-time approach

Motivated by the widespread use of networked and embedded control systems, an algorithm for stability analysis is proposed for sampled-data feedback control systems with uncertainly time-varying sampling intervals. The algorithm is based on the robustness of discrete-time systems against perturbation caused by the variation of sampling intervals. The validity of the algorithm is demonstrated by numerical examples.

[1]  J.P. Hespanha,et al.  Designing an observer-based controller for a network control system , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[2]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

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

[4]  J.P. Hespanha,et al.  On the robust stability and stabilization of sampled-data systems: A hybrid system approach , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[5]  S. Hara,et al.  Well-posedness of feedback systems: insights into exact robustness analysis and approximate computations , 1998, IEEE Trans. Autom. Control..

[6]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[7]  Hisaya Fujioka.  Stability analysis of systems with aperiodic sample-and-hold devices , 2007 .

[8]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[9]  E. Fridman,et al.  Sampled-data H ∞ control and filtering : Nonuniform uncertain sampling , 2007 .

[10]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

[11]  Johan Efberg,et al.  YALMIP : A toolbox for modeling and optimization in MATLAB , 2004 .

[12]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[13]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[14]  Leonid Mirkin,et al.  Some Remarks on the Use of Time-Varying Delay to Model Sample-and-Hold Circuits , 2007, IEEE Transactions on Automatic Control.

[15]  E. Fridman,et al.  Input / output delay approach to robust sampled-data H ∞ control , 2005 .

[16]  Emilia Fridman,et al.  Sampled-data Hinfinity control and filtering: Nonuniform uncertain sampling , 2007, Autom..

[17]  B. Kågström.  Bounds and perturbation bounds for the matrix exponential , 1977 .

[18]  C. Loan.  The Sensitivity of the Matrix Exponential , 1977 .

[19]  Hisaya Fujioka.  Stability analysis of systems with aperiodic sample-and-hold devices , 2009, Autom..

[20]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[21]  B. Francis,et al.  Optimal Sampled-data Control , 1995 .

[22]  Q. Han,et al.  State feedback controller design of networked control systems , 2004 .

[23]  Dong Yue,et al.  Network-based robust H ∞ control of systemswith uncertainty , 2005 .

[24]  A. Teel,et al.  Stability of delay impulsive systems with application to networked control systems , 2007, 2007 American Control Conference.

[25]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[26]  Kim-Chuan Toh,et al.  Solving semidefinite-quadratic-linear programs using SDPT3 , 2003, Math. Program..