354
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Multiple Lyapunov functions approach to observer-based H control for switched systems

, &
Pages 812-819 | Received 18 Nov 2010, Accepted 26 Jul 2011, Published online: 26 Oct 2011

References

  • Alessandri , A and Coletta , P . 2001 . Design of Luenberger Observers for a Class of Hybrid Linear Systems . Lecture Notes in Computer Science, Hybrid Systems: Computation & Control , 2034/2001 : 7 – 18 .
  • Bara , GI , Daafouz , J , Kratz , F and Ragot , J . 2001 . Parameter-dependent State Observer Design for Affine LPV Systems . International Journal of Control , 74 : 1601 – 1611 .
  • Boyd , S and Vandenberghe , L . 2001 . Convex Optimisation with Engineering Applications, Lecture Notes , Stanford : Stanford University .
  • Branicky , MS . 1998 . Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems . IEEE Transactions on Automatic Control , 43 : 475 – 482 .
  • Chen , M , Zhu , CR and Feng , G . 2004 . Linear-matrix-inequality-based Approach to H ∞ Controller Synthesis of Uncertain Continuous-time Piecewise Linear Systems . IEE Proceedings Control Theory & Applications , 151 : 295 – 301 .
  • Colaneri , P , Geromel , JC and Astolfi , A . 2008 . Stabilization of Continuous-time Switched Nonlinear Systems . Systems & Control Letters , 57 : 95 – 103 .
  • de Best , JJTH , Bukkems , BHM , van de Molengraft , MJG , Heemels , WPMH and Steinbuch , M . 2008 . Robust Control of Piecewise Linear Systems: A Case Study in Sheet Flow Control . Control Engineering Practice , 16 : 991 – 1003 .
  • Feng , G . 2002a . An Approach to H ∞ Controller Synthesis of Piecewise Linear Systems . Communications in Information and Systems , 2 : 245 – 254 .
  • Feng , G . 2002b . Controller Design and Analysis of Uncertain Piecewise-linear Systems . IEEE Transactions on Circuits and System I: Fundamental Theory & Applications , 49 : 224 – 232 .
  • Ji , Z , Wang , L , Xie , G and Hao , F . 2004 . Linear Matrix Inequality Approach to Quadratic Stabilisation of Switched Systems . IEE Proceedings of Control Theory & Application , 135 : 289 – 294 .
  • Juloski , ALj , Heemels , WPMH and Weiland , S . 2007 . Observer Design for a Class of Piecewise Linear Systems . International Journal of Robust and Nonlinear Control , 17 : 1387 – 1404 .
  • Li , ZG , Wen , CY and Soh , YC . 2003 . Observer-based Stabilisation of Switching Linear Systems . Automatica , 39 : 517 – 524 .
  • Liberzon , D . 2003 . Switching in Systems and Control , Boston , , MA : Birkhäuser .
  • Peleties , P and DeCarlo , R . 1991 . Asymptotic Stability of m-Switched Systems Using Lyapunov-like Functions . Proceedings of American Control Conference . 1991 . pp. 1679 – 1684 .
  • Pettersson , S . 2005 . Switched State Jump Observers for Switched Systems . Proceedings of the 16th IFAC World Congress , 1 : 127 – 132 .
  • Rodrigues , L and How , JP . 2003 . Observer-based Control of Piecewise-affine Systems . International Journal of Control , 76 : 459 – 477 .
  • van de Wouw , N and Pavlov , A . 2008 . Tracking and Synchronisation for a Class of PWA Systems . Automatica , 44 : 2909 – 2915 .
  • Wang , M , Zhao , J and Dimirovski , GM . 2009 . Stabilisation and L 2-gain Analysis for a Class of Uncertain Switched Non-linear Systems . International Journal of Systems Science , 40 : 1077 – 1085 .
  • Xiang , WM and Xiao , J . 2011 . H ∞ Filtering for Switched Nonlinear Systems Under Asynchronous Switching . International Journal of Systems Science , 42 : 751 – 765 .
  • Xie , D , Xu , N and Chen , X . 2008 . Stabilisability and Observer-based Switched Control Design for Switched Linear Systems . IET Control Theory & Applications , 2 : 192 – 199 .
  • Zemouche , A , Boutayeb , M and Bara , GI . 2008 . Observers for a Class of Lipschitz Systems with Extension to H ∞ Performance Analysis . Systems & Control Letters , 57 : 18 – 27 .
  • Zhao , J and Hill , DJ . 2008 . On Stability and L 2-gain for Switched Systems . Automatica , 44 : 1220 – 1232 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.