Design of adaptive block backstepping controllers for uncertain nonlinear dynamic systems with n blocks

References

• Cai , Z , Queiroz , SD and Dawson , DM . 2006 . Robust Adaptive Asymptotic Tracking of Nonlinear Systems with Additive Disturbance . IEEE Transactions on Automatic Control , 51 : 524 – 529 . doi: 10.1109/TAC.2005.864204
   Web of Science ®Google Scholar
• Chang , Y . 2011 . Block Backstepping Control of MIMO Systems . IEEE Transactions on Automatic Control , 56 : 1191 – 1197 . doi: 10.1109/TAC.2011.2109435
   Web of Science ®Google Scholar
• Chang , Y and Cheng , CC . 2010 . Block Backstepping Control of Multi-input Nonlinear Systems with Mismatched Perturbations for Asymptotic Stability . International Journal of Control , 83 : 2028 – 2039 . doi: 10.1080/00207179.2010.501869
   Web of Science ®Google Scholar
• Chen , B and Liu , X . 2005 . Fuzzy Approximate Disturbance Decoupling of MIMO Nonlinear Systems by Backstepping and Application to Chemical Processes . IEEE Transactions on Fuzzy Systems , 13 : 832 – 847 . doi: 10.1109/TFUZZ.2005.859322
   Web of Science ®Google Scholar
• Chen , B , Liu , X and Tong , S . 2007a . Adaptive Fuzzy Output Tracking Control of MIMO Nonlinear Uncertain Systems . IEEE Transactions on Fuzzy Systems , 15 : 287 – 300 . doi: 10.1109/TFUZZ.2006.880008
   Web of Science ®Google Scholar
• Chen , B , Tong , S and Liu , X . 2007b . Fuzzy Approximate Disturbance Decoupling of MIMO Nonlinear Systems by Backstepping Approach . Fuzzy Sets and Systems , 158 : 1097 – 1125 . doi: 10.1016/j.fss.2006.12.012
   Web of Science ®Google Scholar
• Ge , SS and Tee , KP . 2007 . Approximation-based Control of Nonlinear MIMO Time-delay Systems . Automatica , 43 : 31 – 43 . doi: 10.1016/j.automatica.2006.08.003
   Web of Science ®Google Scholar
• Ge , SS and Wang , C . 2004 . Adaptive Neural Control of Uncertain MIMO Nonlinear Systems . IEEE Transactions on Neural Networks , 15 : 674 – 692 . doi: 10.1109/TNN.2004.826130
   PubMed Web of Science ®Google Scholar
• Ge , SS , Zhang , J and Lee , TH . 2004 . Adaptive Neural Network Control for a Class of MIMO Nonlinear Systems with Disturbance in Discrete-time . IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , 34 : 1630 – 1645 . doi: 10.1109/TSMCB.2004.826827
   PubMed Web of Science ®Google Scholar
• Khalil , HK . 1996 . Nonlinear Control , New Jersey : Prentice-Hall .
   Google Scholar
• Krstic , M , Kanellakopoulos , I and Kokotovic , P . 1995 . Nonlinear and Adaptive Control Design , New Jersey : Wiley .
   Google Scholar
• Liu , X , Gu , G and Zhou , K . 1999a . Robust Stabilisation of MIMO Nonlinear Systems by Backstepping . Automatica , 35 : 987 – 992 . doi: 10.1016/S0005-1098(98)00236-2
   Web of Science ®Google Scholar
• Liu , X , Zhou , K and Gu , G . 1999b . Global Stabilisation of MIMO Minimum-phase Nonlinear Systems Without Strict Triangular Conditions . Systems & Control Letters , 36 : 359 – 362 . doi: 10.1016/S0167-6911(99)00003-1
   Web of Science ®Google Scholar
• Liu , YJ , Tong , SC and Wanga , W . 2009 . Adaptive Fuzzy Output Tracking Control for a Class of Uncertain Nonlinear Systems . Fuzzy Sets and Systems , 160 : 2727 – 2754 . doi: 10.1016/j.fss.2008.12.016
   Web of Science ®Google Scholar
• Wu , Y and Zhou , Y . 2004 . Output Feedback Control for MIMO Non-linear Systems with Unknown Sign of the High Frequency Gain Matrix . International Journal of Control , 77 : 9 – 18 . doi: 10.1080/00207170310001633312
   Web of Science ®Google Scholar
• Yao , B and Tomizuka , M . 2001 . Adaptive Robust Control of MIMO Nonlinear Systems in Semi-strict Feedback Forms . Automatica , 37 : 1305 – 1321 . doi: 10.1016/S0005-1098(01)00082-6
   Web of Science ®Google Scholar
• Zhou , Y and Wu , Y . 2008 . Output Feedback Control for MIMO Nonlinear Systems using Factorisation . Nonlinear Analysis , 68 : 1362 – 1374 . doi: 10.1016/j.na.2006.12.030
   Web of Science ®Google Scholar