Reduced order observers for the sliding mode control of mechanical systems with elastic joints

References

• Atassi , NA and Khalil , HK . 2000 . Separation Results for the Stabilization of Nonlinear Systems using Different High-gain Observer Designs . Systems & Control Letters , 39 : 183 – 191 .
   Web of Science ®Google Scholar
• Bartolini , G , Pisano , A and Usai , E . 2001 . Global Stabilization for Nonlinear Uncertain Systems with Unmodeled Actuator Dynamics . IEEE Transactions on Automatic Control , 46 : 1826 – 1832 .
   Web of Science ®Google Scholar
• Bartolini , G and Zolezzi , T . 1986 . Dynamic Output Feedback for Observed Variable-structure Control Systems . Systems & Control Letters , 7 : 189 – 193 .
   Web of Science ®Google Scholar
• Bejarano , F , Fridman , L and Poznyak , A . 2007 . Observation and Identification of Mechanical Systems via Second Order Sliding Modes . International Journal of Robust and Nonlinear Control , 17 : 1734 – 1753 .
   Web of Science ®Google Scholar
• Ciccarella , G , Mora , MD and Germani , A . 1993 . A Luenberger-like Observer for Nonlinear Systems . International Journal of Control , 57 : 537 – 556 .
   Web of Science ®Google Scholar
• Davila , J , Fridman , L and Levant , A . 2005 . Second-order Sliding-mode Observer for Mechanical Systems . IEEE Transactions on Automatic Control , 50 : 1785 – 1789 .
   Web of Science ®Google Scholar
• Davila , J , Fridman , L and Poznyak , A . 2006 . Observation and Identification of Mechanical Systems via Second Order Sliding Modes . International Journal of Control , 79 : 1251 – 1262 .
   Web of Science ®Google Scholar
• De Luca , A and Book , W . 2008 . “ Robots with Flexible Elements ” . In Springer Handbook of Robotics , Edited by: Siciliano , B and Khatib , O . 287 – 317 . Berlin : Springer Verlag .
   Google Scholar
• Edwards , C , Spurgeon , S and Patton , R . 2000 . Sliding Mode Observers for Fault Detection and Isolation . Automatica , 36 : 541 – 553 .
   Web of Science ®Google Scholar
• Khatib , O . 1988 . A Nonlinear Observer for Elastic Robots . IEEE Journal of Robotics and Automation , 4 : 45 – 52 .
   Google Scholar
• Levant , A . 1998 . Robust Exact Differentiation via Sliding Mode Technique . Automatica , 34 : 379 – 384 .
   Web of Science ®Google Scholar
• Levant , A . 2003 . Higher Order Sliding Modes, Differentiation and Output-feedback Control . International Journal of Control , 76 : 924 – 941 .
   Web of Science ®Google Scholar
• Levant , A and Alelishvili , L . 2008 . “ Discontinuous Homogeneous Control ” . In Modern Sliding Mode Control Theory, Lecture Notes in Control and Information Sciences , Edited by: Bartolini , G , Fridman , L , Pisano , A and Usai , E . 71 – 95 . Berlin : Springer Verlag .
   Google Scholar
• Lozano , R and Brogliato , B . 1992 . Adaptive Control of Robot Manipulators with Flexible Joints . IEEE Transactions on Automatic Control , 37 : 174 – 181 .
   Web of Science ®Google Scholar
• Murray , R , Li , Z and Sastry , S . 1994 . A Mathematical Introduction to Robotic Manipulation , Boca Raton, FL : CRC Press .
   Google Scholar
• Ortega , R and Spong , MW . 1989 . Adaptive Motion Control of Rigid Robots: A Tutorial . Automatica , 25 : 877 – 888 .
   Web of Science ®Google Scholar
• Sciavicco , L and Siciliano , B . 2000 . Modelling and Control of Robot Manipulators, Advanced Textbooks in Control and Signal Processing, , 2nd , London, , UK : Springer Verlag .
   Google Scholar
• Shkolnikov , I and Shtessel , Y . 2002 . Tracking in a Class of Nonminimum-phase Systems with Nonlinear Internal Dynamics via Sliding Mode Control using Method of System Center . Automatica , 38 : 837 – 842 .
   Web of Science ®Google Scholar
• Slotine , JJE and Li , W . 1991 . Applied Nonlinear Control , Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Spong , MW . 1987 . Modeling and Control of Elastic Joint Robots . ASME Journal of Dynamic System Measurements and Control , 109 : 310 – 319 .
   Web of Science ®Google Scholar
• Tan , C and Edwards , C . 2002 . Sliding Mode Observers for Detection and Reconstruction of Sensor Faults . Automatica , 38 : 1815 – 1821 .
   Web of Science ®Google Scholar
• Utkin , VI . 1992 . Sliding Modes in Control and Optimization , Berlin : Springer Verlag .
   Google Scholar