Output-feedback stabilisation for a class of switched nonlinear systems with unknown control coefficients

References

• Bacciotti , A . 2004 . Stabilisation by Means of State Space Depending Switching Rules . Systems & Control Letters , 53 : 195 – 201 . doi: 10.1016/j.sysconle.2004.04.005
   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 . doi: 10.1109/9.664150
   Web of Science ®Google Scholar
• Cao , M and Morse , AS . 2010 . Dwell-time Switching . Systems & Control Letters , 59 : 57 – 65 . doi: 10.1016/j.sysconle.2009.11.007
   Web of Science ®Google Scholar
• Choi , H and Lim , J . 2005 . Global Exponential Stabilisation of a Class of Nonlinear Systems by Output Feedback . IEEE Transactions on Automatic Control , 50 : 255 – 257 . doi: 10.1109/TAC.2004.841886
   Web of Science ®Google Scholar
• Colaneri , P , Geromel , JC and Astolfi , A . 2008 . Stabilisation of Continuous Time Switched Nonlinear Systems . Systems & Control Letters , 57 : 95 – 103 . doi: 10.1016/j.sysconle.2007.07.001
   Web of Science ®Google Scholar
• El-Farra , NH , Mhaskar , P and Christofides , PD . 2005 . Output Feedback Control of Switched Nonlinear Systems using Multiple Lyapunov Functions . Systems & Control Letters , 54 : 1163 – 1182 . doi: 10.1016/j.sysconle.2005.04.005
   Web of Science ®Google Scholar
• Fissore , D . 2008 . Robust Control in Presence of Parametric Uncertainties: Observer-based Feedback Controller Design . Chemical Engineering Science , 63 : 1890 – 1900 . doi: 10.1016/j.ces.2007.12.019
   Web of Science ®Google Scholar
• Fu , J , Jin , Y , Zhao , J and Dimirovski , GM . 2009 . Robust Stabilisation of a Class of Non-minimum-phase Nonlinear Systems in a Generalised Output Feedback Canonical Form . International Journal of Adaptive Control and Signal Processing , 23 : 260 – 277 . doi: 10.1002/acs.1041
   Web of Science ®Google Scholar
• Girard , A , Pola , G and Tabuada , P . 2010 . Approximately Bisimilar Symbolic Models for Incrementally Stable Switched Systems . IEEE Transactions on Automatic Control , 55 : 116 – 126 . doi: 10.1109/TAC.2009.2034922
   Web of Science ®Google Scholar
• Goebel , R , Sanfelice , RG and Teel , AR . 2009 . Hybrid Dynamical Systems . IEEE Control Systems Magazine , 29 : 28 – 93 .
   Web of Science ®Google Scholar
• Han , T , Ge , SS and Lee , T . 2009 . Adaptive Neural Control for a Class of Switched Nonlinear Systems . Systems & Control Letters , 58 : 109 – 118 . doi: 10.1016/j.sysconle.2008.09.002
   Web of Science ®Google Scholar
• Hespanha , JP . 2003 . Root-mean-square Gains of Switched Linear Systems . IEEE Transactions on Automatic Control , 48 : 2040 – 2045 . doi: 10.1109/TAC.2003.819300
   Web of Science ®Google Scholar
• Khalil , HK . 2002 . Nonlinear Systems. , 3rd , Upper Saddle River , , NJ : Prentice-Hall .
   Google Scholar
• Krishnamurthy , P and Khorrami , F . 2005 . Adaptive Output-feedback for Nonlinear Systems with No a Priori Bounds on Parameters . Proceedings of the 2005 American Control Conference . 2005 . pp. 3713 – 3718 . Portland, OR , , USA
   Google Scholar
• Krstić , M and Kokotović , PV . 1996 . Adaptive Nonlinear Output-feedback Schemes with Marino-tomei Controller . IEEE Transactions on Automatic Control , 41 : 274 – 280 . doi: 10.1109/9.481547
   Web of Science ®Google Scholar
• Lei , H and Lin , W . 2006 . Universal Adaptive Control of Nonlinear Systems with Unknown Growth Rate by Output Feedback . Automatica , 42 : 1783 – 1789 . doi: 10.1016/j.automatica.2006.05.006
   Web of Science ®Google Scholar
• Liberzon , D . 2003 . Switching in Systems and Control , Boston , , MA : Birkhauser .
   Google Scholar
• Lin , H and Antsaklis , PJ . 2009 . Stability and Stabilisability of Switched Linear Systems: A Survey of Recent Results . IEEE Transactions on Automatic Control , 54 : 308 – 322 . doi: 10.1109/TAC.2008.2012009
   Web of Science ®Google Scholar
• Liu , Y . 2008 . Global Stabilisation by Output Feedback for a Class of Nonlinear Systems with Uncertain Control Coefficients and Unmeasured States Dependent Growth . Science in China F: Information Sciences , 15 : 1508 – 1520 . doi: 10.1007/s11432-008-0093-2
   Google Scholar
• Long , L and Zhao , J . 2011 . Global Stabilisation for a Class of Switched Nonlinear Feedforward Systems . Systems & Control Letters , 60 : 734 – 738 . doi: 10.1016/j.sysconle.2011.05.011
   Web of Science ®Google Scholar
• Ma , R and Zhao , J . 2010 . Backstepping Design for Global Stabilisation of Switched Nonlinear Systems in Lower Triangular Form Under Arbitrary Switchings . Automatica , 46 : 1819 – 1823 . doi: 10.1016/j.automatica.2010.06.050
   Web of Science ®Google Scholar
• Mancilla-Aguilar , JL and García , RA . 2006 . An Extension of LaSalle's Invariance Principle for Switched Systems . Systems & Control Letters , 55 : 376 – 384 . doi: 10.1016/j.sysconle.2005.07.009
   Web of Science ®Google Scholar
• Marino , R and Tomei , P . 1999 . An Adaptive Output Feedback Control for a Class of Nonlinear Systems with Time-varying Parameters . IEEE Transactions on Automatic Control , 44 : 2190 – 2194 . doi: 10.1109/9.802943
   Web of Science ®Google Scholar
• McClamroch , NH and Kolmanovsky , I . 2000 . Performance Benefits of Hybrid Control Design for Linear and Nonlinear Systems . Proceedings of IEEE , 88 : 1083 – 1096 . doi: 10.1109/5.871310
   Web of Science ®Google Scholar
• Mojica-Nava , E , Quijano , N , Rakoto-Ravalontsalama , N and Gauthier , A . 2010 . A Polynomial Approach for Stability Analysis of Switched Systems . Systems & Control Letters , 59 : 98 – 104 . doi: 10.1016/j.sysconle.2009.12.004
   Web of Science ®Google Scholar
• Qian , C and Lin , W . 2002 . Output Feedback Control of a Class of Nonlinear Systems: A Nonseparation Principle Paradigm . IEEE Transactions on Automatic Control , 47 : 1710 – 1715 . doi: 10.1109/TAC.2002.803542
   Web of Science ®Google Scholar
• Ren , B , Ge , SS , Tee , K and Lee , T . 2009 . Adaptive Control for Parametric Output Feedback Systems with Output Constraint . Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference . 16–18 December 2009 . pp. 6650 – 6655 . Shanghai , , P.R. China
   Google Scholar
• Schwartz , CA and Maben , E . 1997 . “ A Minimum Energy Approach to Switching Control for Mechanical Systems ” . In Control Using Logic-based Switching , Edited by: Morse , AS . 142 – 150 . New York : Springer-Verlag .
   Google Scholar
• Serres , U , Vivalda , J and Riedinger , P . 2011 . On the Convergence of Linear Switched Systems . IEEE Transactions on Automatic Control , 56 : 320 – 332 . doi: 10.1109/TAC.2010.2054950
   Web of Science ®Google Scholar
• Sun , X , Liu , G and Rees , D . 2008 . Delay-dependent Stability for Discrete Systems with Large Delay Sequence Based on Switching Techniques . Automatica , 44 : 2902 – 2908 . doi: 10.1016/j.automatica.2008.04.006
   Web of Science ®Google Scholar
• Trofino , A , Assmann , D , Scharlau , CC and Coutinho , DF . 2009 . Switching Rule Design for Switched Dynamic Systems with Affine Vector Fields . IEEE Transactions on Automatic Control , 54 : 2215 – 2222 . doi: 10.1109/TAC.2009.2026848
   Web of Science ®Google Scholar
• Wu , J . 2009 . Stabilizing Controllers Design for Switched Nonlinear Systems in Strict-feedback Form . Automatica , 45 : 1092 – 1096 . doi: 10.1016/j.automatica.2008.12.004
   Web of Science ®Google Scholar
• Xu , L and Yao , B . 2001 . Output Feedback Adaptive Robust Precision Motion Control of Linear Motors . Automatica , 37 : 1029 – 1039 . doi: 10.1016/S0005-1098(01)00052-8
   Web of Science ®Google Scholar
• Zhao , J and Hill , DJ . 2008 . Dissipativity Theory for Switched Systems . IEEE Transactions on Automatic Control , 53 : 941 – 953 . doi: 10.1109/TAC.2008.920237
   Web of Science ®Google Scholar
• Zhou , J and Er , M . 2007 . Adaptive Output Feedback Control of a Class of Uncertain Chaotic Systems . Systems & Control Letters , 56 : 452 – 460 . doi: 10.1016/j.sysconle.2006.12.002
   Web of Science ®Google Scholar