A robust adaptive dynamic surface control for linear systems

References

• Bechlioulis , CP and Rovithakis , GA . 2009 . Adaptive Control with Guaranteed Transient and Steady State Tracking Error Bounds for Strict Feedback Systems . Automatica , 45 : 532 – 538 .
   Web of Science ®Google Scholar
• Ding , ZT and Ye , XD . 2002 . A Flat-zone Modification for Robust Adaptive Control of Nonlinear Output Feedback Systems with Unknown High-frequency Gains . IEEE Transactions on Automatic Control , 42 : 358 – 363 .
   Google Scholar
• Ge , SS and Wang , J . 2003 . Robust Adaptive Tracking for Time-varing Uncertain Nonlinear Systems with Unknown Control Coefficients . IEEE Transactions on Automatic Control , 48 : 1463 – 1469 .
   Web of Science ®Google Scholar
• Hsu , L and Costa , R . 1987 . Bursting Phenomenon in Continuous-time Adaptive Control Systems with σ-modification . IEEE Transactions on Automatic Control , 32 : 84 – 86 .
   Web of Science ®Google Scholar
• Ikhouane , F and Krstic , M . 1998a . Adaptive Backstepping with Parameter Projection: Robustness and Asymptotic Performance . Automatica , 34 : 429 – 435 .
   Web of Science ®Google Scholar
• Ikhouane , F and Krstic , M . 1998b . Robustness of the Tuning Functions Adaptive Backstepping Design for Linear Systems . IEEE Transactions on Automatic Control , 43 : 431 – 437 .
   Web of Science ®Google Scholar
• Ioannou , PA and Sun , J . 1996 . Robust Adaptive Control , Upper Saddle River , NJ : Prentice-Hall .
   Google Scholar
• Ioannou , PA and Tsakalis , K . 1986 . A Robust Direct Adaptive Controller . IEEE Transactions on Automatic Control , 31 : 1033 – 1043 .
   Web of Science ®Google Scholar
• Jiang , ZP . 1999 . A Combined Backstepping and Small-gain Approach to Adaptive Output Feedback Control . Automatica , 35 : 1131 – 1139 .
   Web of Science ®Google Scholar
• Kanellakopoulos , I , Kokotovic , PV and Morse , AS . 1991 . Systematic Design of Adaptive Controllers for Feedback Linearisable Systems . IEEE Transactions on Automatic Control , 36 : 1241 – 1253 .
   Web of Science ®Google Scholar
• Krstic , M , Kanellakopoulos , I and Kokotovic , PV . 1992 . Adaptive Nonlinear Control Without Overparameterisation . Systems and Control Letters , 19 : 177 – 185 .
   Web of Science ®Google Scholar
• Krstic , M , Kanellakopoulos , I and Kokotovic , PV . 1994 . Nonlinear Design of Adaptive Controllers for Linear Systems . IEEE Transactions on Automatic Control , 39 : 738 – 752 .
   Web of Science ®Google Scholar
• Krstic , M , Kanellakopoulos , I and Kokotovic , PV . 1995 . Nonlinear and Adaptive Control Design , New York : Wiley .
   Google Scholar
• Krstic , M and Kokotovic , PV . 1993 . Transient-performance Improvement with a New Class of Adaptive Controllers . Systems and Control Letters , 21 : 451 – 461 .
   Web of Science ®Google Scholar
• Krstic , M , Sun , J and Kokotovic , PV . 1996 . Robust Control of Nonlinear Systems with Input Unmodelled Dynamics . IEEE Transactions on Automatic Control , 41 : 913 – 920 .
   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 .
   Web of Science ®Google Scholar
• Swaroop , D , Gerdes , JK , Yip , PP and Hedrick , JK . 1997 . Dynamic Surface Control of Nonlinear Systems . Proceedings of the American Control Conference . 1997 . pp. 3028 – 3034 . Albuquerque , , New Mexico
   Google Scholar
• Swaroop , D , Hedrick , JK , Yip , PP and Gerdes , JC . 2000 . Dynamic Surface Control for a Class of Nonlinear Systems . IEEE Transactions on Automatic Control , 45 : 1893 – 1899 .
   Web of Science ®Google Scholar
• Tong , SC , He , XL and Zhang , HG . 2009 . A Combined Backstepping and Small-gain Approach to Robust Adaptive Fuzzy Output Feedback Control . IEEE Transactions on Fuzzy Systems , 17 : 1059 – 1069 .
   Web of Science ®Google Scholar
• Wang , C and Lin , Y . 2010 . Adaptive Dynamic Surface Control for Linear Multivariable Systems . Automatica , 46 : 1703 – 1711 .
   Web of Science ®Google Scholar
• Wang , D and Huang , J . 2005 . Neural Network-based Adaptive Dynamic Surface Control for a Class of Uncertain Nonlinear Systems in Strict-feedback Form . IEEE Transactions on Neural Networks , 16 : 195 – 202 .
   PubMed Web of Science ®Google Scholar
• Wen , C , Zhang , Y and Soh , YC . 1999 . Robustness of an Adaptive Backstepping Control without Modification . Systems and Control Letters , 36 : 87 – 100 .
   Web of Science ®Google Scholar
• Wu , Z , Xie , X and Shi , P . 2008 . Robust Adaptive Output-feedback Control for Nonlinear Systems with Output Unmodelled Dynamics . International Journal of Robust and Nonlinear Control , 18 : 1162 – 1187 .
   Web of Science ®Google Scholar
• Yip , PP and Hedrick , JK . 1998 . Adaptive Dynamic Surface Control: A Simplified Algorithm for Adaptive Backstepping Control of Nonlinear Systems . International Journal of Control , 71 : 959 – 979 .
   Web of Science ®Google Scholar
• Yoo , SJ , Park , JB and Choi , YH . 2007 . Adaptive Dynamic Surface Control for Stabilisation of Parametric Strict-feedback Nonlinear Systems with Unknown Time Delays . IEEE Transactions on Automatic Control , 52 : 2360 – 2365 .
   Web of Science ®Google Scholar
• Zhang , TP and Ge , SS . 2008 . Adaptive Dynamic Surface Control of Nonlinear Systems with Unknown Dead Zone in Pure Feedback Form . Automatica , 44 : 1895 – 1903 .
   Web of Science ®Google Scholar
• Zhang , X and Lin , Y . 2010 . A Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Systems with Unknown Prandtl–Ishilinskii Hysteresis . International Journal of Robust and Nonlinear Control , DOI: 10.1002/mc, (available online)
   Google Scholar
• Zhang , Y and Ioannou , PA . 1995 . A Robust Modification of a New Class of Adaptive Controllers . Proceedings of the American Control Conference . 1995 . pp. 2510 – 2514 . Seattle, Washington
   Google Scholar
• Zhang , Y and Ioannou , PA . 1997 . Robustness of the Adaptive Backstepping Controllers for Linear Systems . Proceedings of the American Control Conference . 1997 . pp. 746 – 750 . Albuquerque , , New Mexico
   Google Scholar
• Zhou , J , Wen , CY and Zhang , Y . 2004 . Adaptive Backstepping Control of a Class of Uncertain Nonliner Systems with Unknown Backlash-like Hysteresis . IEEE Transactions on Automatic Control , 49 : 1751 – 1757 .
   Web of Science ®Google Scholar
• Zhou , J , Wen , CY and Zhang , Y . 2006 . Adaptive Output Control of Nonlinear Systems with Uncertain Dead-zone Nonlinearity . IEEE Transactions on Automatic Control , 51 : 504 – 511 .
   Web of Science ®Google Scholar
• Zhou , J , Zhang , CJ and Wen , CY . 2007 . Robust Adaptive Output Control of Uncertain Nonlinear Plants with Unknown Backlash Nonlinearity . IEEE Transactions on Automatic Control , 52 : 503 – 509 .
   Web of Science ®Google Scholar