Output tracking control of nonlinear switched cascade systems using a variable structure control method

References

• Bartolini , G , Ferrara , A and Usai , E . 1999 . Chattering Elimination in the Hybrid Control of Constrained Manipulators via First/Second Order Sliding Mode Control . Dynamics and Control , 9 : 99 – 124 .
   Google Scholar
• Branicky , MS . 1998 . Multiple Lyapunov Functions and Other Analysis Tools for Switched Hybrid Systems . IEEE Transactions on Automatic Control , 43 : 475 – 482 .
   Web of Science ®Google Scholar
• Cheng , D . 2004 . Stabilization of Planar Switched Systems . System & Control Letters , 51 : 79 – 88 .
   Web of Science ®Google Scholar
• Cheng , D , Feng , G and Xi , Z . 2003 . Stabilization of a Class of Switched Nonlinear Systems . Journal of Control Theory and Applications , 1 : 53 – 61 .
   Google Scholar
• Colaneri , P , Geromel , C and Astolfi , A . 2008 . Stabilization of Continuous-time Switched Nonlinear Systems . System & Control Letters , 57 : 95 – 103 .
   Web of Science ®Google Scholar
• Daafouz , J , Riedinger , P and Iung , C . 2002 . Stability Analysis and Control Synthesis for Switched Systems: A Switched Lyapunov Function Approach . IEEE Transactions on Automatic Control , 47 : 1883 – 1887 .
   Web of Science ®Google Scholar
• Galeani , S , Menini , L and Potini , A . Trajectory Tracking in Linear Hybrid Systems: An Internal Model Principle Approach . American Control Conference . 2008 . pp. 11 – 13 . Seattle, Washington, , USA : Westin Seattle Hotel .
   Google Scholar
• Hespanha , JP and Morse , AS . Stability of Switched Systems with Average Dwell-time . Proceedings of the IEEE Conference on Decision and Control . 1999 . pp. 2655 – 2660 .
   Google Scholar
• Isidori , A . 1995 . Nonlinear control systems, , 3rd , Berlin : Springer .
   Google Scholar
• Ji , Z , Guo , X , Wang , L and Xie , G . 2006 . Robust H ∞ Control and Stabilisation of Uncertain Switched Linear Systems: A Multiple Lyapunov Functions Approach . IEEE Transactions on Automatic Control , 128 : 696 – 700 .
   Google Scholar
• Li , Q , Zhao , J and Dimirovski , GM . 2008 . Robust Tracking Control for Switched Linear Systems with Time-varying Delays . IET Control Theory and Applications , 2 : 449 – 457 .
   Web of Science ®Google Scholar
• Lian , J and Zhao , J . 2009 . Output Feedback Variable Structure Control for a Class of Uncertain Switched Systems . Asian Journal of Control , 11 : 31 – 39 .
   Web of Science ®Google Scholar
• Liberzon , D . 2003 . Switching in systems and control , Boston : Birkhauser .
   Google Scholar
• Liberzon , D and Morse , AS . 1999 . Basic Problems in Stability and Design of Switched Systems . IEEE Control Systems Magazine , 19 : 59 – 70 .
   Web of Science ®Google Scholar
• Morse , AS . 1996 . Supervisory Control of Families of Linear Set-point Controllers-Part I: Exact Matching . IEEE Transactions on Automatic Control , 10 : 1413 – 1431 .
   Google Scholar
• Pettersson , S . 1999 . Analysis and Design of Hybrid Systems , Göteborg, , Sweden : Chalmers Reproservice .
   Google Scholar
• Sun , X , Wang , W , Liu , G and Zhao , J . 2008 . Stability Analysis for Linear Switched Systems with Time-varying Delay . IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics , 38 : 528 – 533 .
   PubMed Web of Science ®Google Scholar
• Sun , Z , Ge , SS and Lee , TH . 2002 . Controllability and Reachability Criteria for Switched Linear Systens . Automatica , 38 : 775 – 786 .
   Web of Science ®Google Scholar
• Vu , L , Chatterjee , D and Liberzon , D . 2007 . Input- to-State Stability of Switched Systems and Switching Adaptive Control . Automatica , 43 : 639 – 646 .
   Web of Science ®Google Scholar
• Xie , G and Wang , L . 2003 . Controllability and Stabilizability of Switched Linear Systems . System & Control Letters , 48 : 135 – 155 .
   Web of Science ®Google Scholar
• Zhai , G , Hu , B , Yasuda , K and Michel , AN . 2001 . Stability Analysis of Switched Systems with Stable and Unstable Subsystems: An Average Dwell Time Approach . International Journal of Systems Science , 8 : 1055 – 1061 .
   Google Scholar
• Zhao , J and Dimirovski , GM . 2004 . Quadratic Stability of a Class of Switched Nonlinear Systems . IEEE Transactions on Automatic Control , 49 : 574 – 578 .
   Web of Science ®Google Scholar
• Zhao , J and Hill , DJ . 2008 . On Stability, and L 2-Gain and H ∞ Control for Switched Systems . Automatica , 44 : 1220 – 1232 .
   Web of Science ®Google Scholar
• Zhao , J and Hill , DJ . 2008 . Passivity and Stability of Switched Systems: A Multiple Storage Function Method . System & Control Letters , 57 : 158 – 164 .
   Web of Science ®Google Scholar