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Original Articles

Stability, positive invariance and design of constrained regulators for networked control systems

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Pages 1401-1413 | Received 10 Mar 2011, Accepted 11 Apr 2012, Published online: 09 May 2012

References

  • Athanasopoulos , N and Bitsoris , G . 2009 . A Novel Approach to the Computation of the Maximal Controlled Invariant Set for Constrained Linear Systems . Proceedings of the 2009 European Control Conference . 2009 . pp. 3126 – 3129 . Budapest , , Hungary
  • Athanasopoulos , N , Bitsoris , G and Dritsas , L . 2011 . A Polyhedral Approach to the Stability Analysis and Feedback Stabilisation of Networked Control Systems . Proceedings of the 19th Mediterranean Conference on Control & Automation . 2011 . pp. 1008 – 1013 .
  • Bitsoris , G . 1988 . On the Positive Invariance of Polyhedral Sets for Discrete-time Systems . Systems and Control Letters , 11 : 243 – 248 .
  • Bitsoris , G and Vassilaki , M . 1993 . Design Techniques of Constrained Regulators for Discrete-time Systems . Control and Dynamic Systems , 56 : 1 – 49 .
  • Bitsoris , G and Gravalou , E . 1995 . Comparison Principle, Positive Invariance and Constrained Regulation of Nonlinear Systems . Automatica , 31 : 217 – 222 .
  • Bitsoris , G , Athanasopoulos , N and Dritsas , L . 2009 . Feedback Stabilization of Networked Control Systems . Proceedings of the 18th IEEE International Conference on Control Applications (Part of 2009 IEEE Multi-conference on Systems and Control) . 2009 . pp. 1 – 6 . Saint Petersburg , , Russia
  • Blachini , F and Miani , S . 2008 . Set Theoretic Methods in Control , Boston : Birkhauser .
  • Cloosterman , M , Wouw , N , Heemels , M and Nijmeijer , H . 2006 . Robust Stability of Networked Control Systems with Time-varying Network-induced Delays . Proceedings of the 45th IEEE Conference on Decision and Control . 2006 . pp. 4980 – 4985 . San Diego , , USA
  • Cloosterman , M , Wouw , N , Heemels , M and Nijmeijer , H . 2007 . Stability of Networked Control Systems with Large Delays . Proceedings of the 46th IEEE Conference on Decision and Control . 2007 . pp. 5017 – 5022 . New Orleans , , USA
  • Cloosterman , MBG , Hetel , L , Wouw , N , Heemels , WPMH , Daafouz , J and Nijmeijer , H . 2010 . Controller Synthesis for Networked Control Systems . Automatica , 46 : 1584 – 1594 .
  • Dorea , C and Hennet , J . 1999 . (A,B)-Invariant Polyhedral Sets of Linear Discrete-time Systems . Journal of Optimization Theory and Applications , 103 : 521 – 542 .
  • Dritsas , L and Tzes , A . 2008 . “ Modeling Approaches and Robust Stability Conditions for Networked Controlled Systems with Uncertain Delays ” . In in Proceedings of the 17th IFAC World Congress , 6353 – 6358 . Korea : Seoul .
  • Dritsas , L and Tzes , A . 2009a . Robust Stability Bounds for Networked Controlled Systems with Unknown, Bounded and Varying Delays . IET Control Theory & Applications , 3 : 270 – 280 .
  • Dritsas , L and Tzes , A . 2009b . Robust Stability Analysis of Networked Systems with Varying Delays . International Journal of Control , 82 : 2347 – 2355 .
  • Gielen , RH , Olaru , S , Lazar , M , Heemels , WPMH , Wouw , N and Niculescu , S . 2010 . On Polytopic Inclusions as a Modelling Framework for Systems with Time-varying Delays . Automatica , 46 : 615 – 619 .
  • Hennet , JC . 1989 . Une Extension Du Lemme De Farkas Et Son Application Au Probleme De Regulation Lineaire Sous Contraintes . Comptes Rendus de Academic des Sciences , 1.308, Serie 1 : 415 – 419 .
  • Hennet , JC and Tarbouriech , S . 1998 . Stability Conditions of Constrained Delay Systems via Positive Invariance . International Journal of Robust and Nonlinear Control , 8 : 265 – 278 .
  • Hespanha , J . Naghshtabrizi, P., and Xu, Y. (2007), ‘A Survey of Recent Results in Networked Control Systems’, in Proceedings of IEEE - Special Issue on Technology of Networked Control Systems, Vol. 95, pp. 138–162
  • Hetel , L , Daafouz , J and Iung , C . 2006 . Stabilization of Arbitrary Switched Linear Systems with Unknown Time-Varying Delays . IEEE Transactions on Automatic Control , 51 : 1668 – 1674 .
  • Hetel , L , Daafouz , J and Iung , C . 2007 . Analysis and Control of LTI and Switched Systems in Digital Loops via an Event-based Modelling . International Journal of Control , 81 : 1125 – 1138 .
  • Lombardi , W , Olaru , S and Niculescu , SI . 2009 . Invariant Sets for a Class of Linear Systems with Variable Time-delay . Proceedings of the European Control Conference . 2009 . pp. 4757 – 4762 . Budapest , , Hungary 2009
  • Molchanov , AP and Pyatniskiy , YeS . 1989 . Criteria of Asymptotic Stability of Differential and Difference Inclusions Encountered in Control Theory A.P. . Systems and Control Letters , 13 : 59 – 64 .
  • Naghshtabrizi , P , Hespanha , J and Teel , A . 2006 . On the Robust Stability and Stabilisation of Sampled-data Systems: A Hybrid System Approach . Proceedings of the 45th IEEE Conference on Decision and Control . 2006 . pp. 4873 – 4878 . San Diego , , USA
  • Naghshtabrizi , P , Hespanha , J and Teel , A . 2008 . Exponential Stability of Impulsive Systems with Application to Uncertain Sampled-data Systems . Systems and Control Letters , 57 : 378 – 385 .
  • Olaru , S . and Niculescu, S.I. (2008), ‘Predictive Control for Linear Systems with Delayed Input Subject to Constraints’, in Proceedings of the IFAC World Congress, Seoul, Korea, 11208–11213
  • Pan , Y , Marquez , H and Chen , T . 2006 . Stabilization of Remote Control Systems with Unknown Time Varying Delays by LMI Techniques . International Journal of Control , 79 : 752 – 763 .
  • Peng , C , Tian , Y and Tade , M . 2007 . State Feedback Controller Design of Networked Control Systems with Interval Time-varying Delay and Nonlinearity . International Journal of Robust and Nonlinear Control , 18 : 1285 – 1301 .
  • Suh , YS . 2008 . Stability and Stabilisation of Non-Uniform Sampling Systems . Automatica , 44 : 3222 – 3226 .
  • Tipsuwan , Y and Chow , M . 2003 . Control Methodologies in Networked Control Systems . Control Engineering Practice , 11 : 1099 – 1111 .
  • Vassilaki , M and Bitsoris , G . 1999 . Constrained Feedback Control of Discrete-time Systems Described by ARMA Models . Proceedings of the 1999 European Control Conference . 1999 . pp. 1 – 6 . Karlsruhe , , Germany
  • Yang , T . 2006 . Networked Control System: A Brief Survey . Control Theory and Applications, IEE Proceedings , 153 : 403 – 4122 .
  • Yue , D , Han , Q and Chen , P . 2004 . State Feedback Controller Design of Networked Control Systems . IEEE Transactions on Circuits and Systems II , 51 : 640 – 644 .
  • Yue , D , Han , Q and Lam , J . 2005 . Network-based Robust H ∞ Control of Systems with Uncertainty . Automatica , 41 : 999 – 1007 .

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