Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form

References

• Arcak , M and Kokotovic , P . 2000 . Robust Nonlinear Control of Systems with Input Unmodeled Dynamics . Systems and Control Letters , 41 : 115 – 122 .
   Web of Science ®Google Scholar
• Balde , M , Boscain , U and Mason , P . 2009 . A Note on Stability Conditions for Planar Switched Systems . International Journal of Control , 82 : 1882 – 1888 .
   Web of Science ®Google Scholar
• Branicky , MS . 1998 . Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems . IEEE Transactions on Automatic Control , 43 : 475 – 482 .
   Web of Science ®Google Scholar
• Chiang , M-L and Fu , L-C . 2010 . Variable Structure Adaptive Backstepping Control for a Class of Unknown Switched Linear Systems . Proceedings of the 29th American Control Conference . 2010 . pp. 2476 – 2481 .
   Google Scholar
• Freeman , RA and Kokotovic , P . 1996 . Robust Nonlinear Control Design: State-Space and Lyapunov Techniques , Boston : Birkhäuser .
   Google Scholar
• Han , T-T , Ge , SS and Lee , HT . 2009 . Adaptive Neural Control for a Class of Switched Nonlinear Systems . Systems and Control Letters , 58 : 109 – 118 .
   Web of Science ®Google Scholar
• Isidori , A . 1999 . Nonlinear Control Systems II , London : Springer-Verlag .
   Google Scholar
• Ji , Z , Wang , L and Xie , G . 2005 . Quadratic Stabilisation of Switched Systems . International Journal of Systems Science , 36 : 395 – 404 .
   Web of Science ®Google Scholar
• Jiang , B , Yang , H and Shi , P . 2010 . Switching Fault Tolerant Control Design via Global Dissipativity . International Journal of Systems Science , 41 : 1003 – 1012 .
   Web of Science ®Google Scholar
• Krstic , M , Kanellakopoulos , I and Kokotovic , P . 1995 . Nonlinear and Adaptive Control Design , Wiley : Interscience .
   Google Scholar
• Liberzon , D . 2003 . Switching in Systems and Control , Berlin : Birkhäuser .
   Google Scholar
• Liberzon , D , Hespanha , JP and Morse , AS . 1999 . Stability of Switched Systems: A Lie-algebraic Condition . Systems and Control Letters , 37 : 117 – 122 .
   Web of Science ®Google Scholar
• Liberzon , D and Tempo , R . 2004 . Common Lyapunov Functions and Gradient Algorithms . IEEE Transactions on Automatic Control , 49 : 990 – 994 .
   Web of Science ®Google Scholar
• Lin , W . 1997 . Global Robust Stabilization of Minimum-phase Nonlinear Systems with Uncertainty . Automatica , 33 : 453 – 462 .
   Web of Science ®Google Scholar
• Lin , H and Antsaklis , PJ . 2009 . Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results . IEEE Transactions on Automatic Control , 54 : 308 – 322 .
   Web of Science ®Google Scholar
• Liu , X , Zhou , K and Gu , G . 1999 . Global Stabilization of MIMO Minimum-phase Nonlinear Systems Without Strict Triangular Conditions . Systems and Control Letters , 36 : 359 – 362 .
   Web of Science ®Google Scholar
• Long , F , Fei , SM , Fu , ZM and Zheng , SY . 2006 . Adaptive Neural Network Control for Switched System with Unknown Nonlinear Part by Using Backstepping Approach: SISO Case . Lecture Notes in Computer Science , 3972 : 842 – 848 .
   Google Scholar
• Long , F , Zhang , S and Yang , J . 2007 . Backstepping Stabilization for A Class of SISO Switched Nonlinear Systems with Trigonal Structure . International Journal of Computer Science and Network Security , 7 : 110 – 113 .
   Google Scholar
• Ma , R and Zhao , J . 2010 . Backstepping Design for Global Stabilization of Switched Nonlinear Systems in Lower Triangular Form Under Arbitrary Switchings . Automatica , 46 : 1819 – 1823 .
   Web of Science ®Google Scholar
• Margaliot , M . 2006 . Stability Analysis of Switched Systems Using Variational Principles: An Introduction . Automatica , 42 : 2059 – 2077 .
   Web of Science ®Google Scholar
• Marino , R and Tomei , P . 1995 . Nonlinear Control Design: Geometric, Adaptive and Robust , London : Prentice-Hall .
   Google Scholar
• Moulay , E , Bourdais , R and Perruquetti , W . 2007 . Stabilization of Nonlinear Switched Systems Using Control Lyapunov Functions . Nonlinear Analysis: Hybrid Systems , 1 : 482 – 490 .
   Google Scholar
• Ni , W and Cheng , D . 2010 . Control of Switched Linear Systems with Input Saturation . International Journal of Systems Science , 41 : 1057 – 1065 .
   Web of Science ®Google Scholar
• Sun , Z and Ge , SS . 2005 . Switched Linear Systems: Control and Design , London : Springer-Verlag .
   Google Scholar
• Sun , X-M , Zhao , J and Hill , DJ . 2006 . Stability and L 2-gain Analysis for Switched Delay Systems: A Delay-dependent Method . Automatica , 42 : 1769 – 1774 .
   Web of Science ®Google Scholar
• Tamba , TA and Leksono , E . 2010 . Adaptive Backstepping for Stabilization of Switched Nonlinear Systems . 49th IEEE Conference on Decision and Control . 2010 . pp. 1293 – 1297 .
   Google Scholar
• Vu , L and Liberzon , D . 2005 . Common Lyapunov Functions for Families of Commuting Nonlinear Systems . Systems and Control Letters , 54 : 405 – 416 .
   Web of Science ®Google Scholar
• Wu , J-L . 2008 . Feedback Stabilization for Multiinput Switched Nonlinear Systems: Two Subsystems Case . IEEE Transactions on Automatic Control , 53 : 1037 – 1042 .
   Web of Science ®Google Scholar
• Wu , J-L . 2009 . Stabilizing Controllers Design for Switched Nonlinear Systems in Strict-feedback Form . Automatica , 45 : 1092 – 1096 .
   Web of Science ®Google Scholar
• Xiang , ZR and Xiang , WM . 2009 . Stability Analysis of Switched Systems Under Dynamical Dwell Time Control Approach . International Journal of Systems Science , 40 : 347 – 355 .
   Web of Science ®Google Scholar
• Zhao , J and Hill , DJ . 2008 . On Stability, L 2-gain and H ∞ Control for Switched Systems . Automatica , 44 : 1220 – 1232 .
   Web of Science ®Google Scholar