Adaptive computed reference computed torque control of flexible manipulators

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[1]  Roberto Horowitz,et al.  Stability analysis of an adaptive controller for robotic manipulators , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[2]  R. Guyan.  Reduction of stiffness and mass matrices , 1965 .

[3]  Wayne J. Book,et al.  Symbolic modeling of flexible manipulators , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[4]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[5]  Masayoshi Tomizuka,et al.  An adaptive control scheme for mechanical manipulators. Compensation of nonlinearity and decoupling control , 1986 .

[6]  W. P. Koppens,et al.  The dynamics of a deformable body experiencing large displacements , 1988 .

[7]  Sahjendra N. Singh,et al.  Control of Elastic Robotic Systems by Nonlinear Inversion and Modal Damping , 1986 .

[8]  R.M.M. Mattheij,et al.  Implementing multiple shooting for non-linear BVP , 1987 .

[9]  P. Kokotovic.  Applications of Singular Perturbation Techniques to Control Problems , 1984 .

[10]  Vasile Mihai Popov,et al.  Hyperstability of Control Systems , 1973 .

[11]  Imm Ivonne Lammerts.  Adaptive) computed torque control of (flexible) robot systems , 1990 .

[12]  K. S. Yeung,et al.  Regulation of a one-link flexible robot arm using sliding-mode technique , 1989 .

[13]  Rb Ricky Doelman.  Adaptive control of a flexible TR-robot , 1995 .

[14]  Ivonne Ivonne Lammerts.  Model Reference Adaptive Control of manipulators:orientation and two methods , 1989 .

[15]  Li-Chen Fu,et al.  Nonlinear adaptive motion control for a manipulator with flexible joints , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[16]  Romeo Ortega,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[17]  Bruno Siciliano,et al.  Symbolic Modelling and Dynamic Analysis of Flexible Manipulators , 1986 .

[18]  Eugene I. Rivin.  Effective Rigidity of Robot Structures: Analysis and Enhancement , 1985, 1985 American Control Conference.

[19]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[20]  Steven Dubowsky,et al.  The application of model-referenced adaptive control to robotic manipulators , 1979 .

[21]  Gert Brevoord,et al.  Composite computed torque control of the xy table with an elastic motor transmission:theoretical analysis, simulations and experiments , 1992 .

[22]  Eric Schmitz.  Dynamics and control of a planar manipulator with elastic links , 1986, 1986 25th IEEE Conference on Decision and Control.

[23]  R. Marino,et al.  On the controllability properties of elastic robots , 1984 .

[24]  Fathi H. Ghorbel,et al.  Adaptive control of flexible-joint manipulators , 1989, IEEE Control Systems Magazine.

[25]  Bernd Gebler.  Feed-forward control strategy for an industrial robot with elastic links and joints , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[26]  David Heijman.  Control of a flexible link , 1993 .

[27]  de Ag Bram Jager,et al.  Robust Control of Mechanical Systems: an Experimental Study , 1992 .

[28]  Fe Frans Veldpaus,et al.  COMPOSITE COMPUTED TORQUE CONTROL OF ROBOTS WITH ELASTIC MOTOR TRANSMISSIONS , 1992 .

[29]  S Kerssemakers.  Some possibilities to control a flexible manipulator , 1993 .

[30]  Robert D. Russell,et al.  COLSYS - - A Collocation Code for Boundary - Value Problems , 1978, Codes for Boundary-Value Problems in Ordinary Differential Equations.

[31]  Patrizio Tomei,et al.  Model reference adaptive control algorithms for industrial robots , 1984, Autom..

[32]  L. G. Jaeger,et al.  Dynamics of structures , 1990 .

[33]  Sahjendra N. Singh,et al.  Dual Mode Control of an Elastic Robotic Arm: Nonlinear Inversion and Stabilization by Pole Assignment , 1989, 1989 American Control Conference.

[34]  L. Sweet,et al.  Redefinition of the robot motion-control problem , 1985, IEEE Control Systems Magazine.

[35]  R.V. Monopoli,et al.  Adaptive control: The model reference approach , 1981, Proceedings of the IEEE.

[36]  Max Donath,et al.  Dynamic model of a one-link robot manipulator with both structural and joint flexibility , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[37]  Wp Wil Koppens.  The dynamics of systems of deformable bodies , 1989 .

[38]  Y. P. Yang,et al.  Adaptive control of a manipulator with a flexible link , 1989, J. Field Robotics.

[39]  Sahjendra N. Singh,et al.  Variable structure control of a robot arm with flexible links , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[40]  Weiping Li,et al.  Indirect adaptive robot control , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[41]  Fe Frans Veldpaus.  Multibody dynamics:an introduction , 1993 .

[42]  Ioan Doré Landau.  Adaptive Control Techniques for Robotic Manipulators - The Status of the Art , 1985 .

[43]  Malcolm Good,et al.  Re-definition of the robot motion control problem: Effects of plant dynamics, drive system constraints, and user requirements , 1984, The 23rd IEEE Conference on Decision and Control.

[44]  F. Ghorbel,et al.  Adaptive integral manifold control of flexible joint robot manipulators , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[45]  Bernard Roth,et al.  The Near-Minimum-Time Control Of Open-Loop Articulated Kinematic Chains , 1971 .

[46]  Mohsen Shahinpoor,et al.  Recent trends in robotics: Modeling, control and education , 1986 .

[47]  W. Book.  Recursive Lagrangian Dynamics of Flexible Manipulator Arms , 1984 .

[48]  C. Chevallereau,et al.  Modelling and control of flexible robots , 1991 .

[49]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[50]  Fumitoshi Matsuno,et al.  A simple model of flexible manipulators with six axes and vibration control by using accelerometers , 1990, J. Field Robotics.

[51]  A. Galip Ulsoy,et al.  Control of a Flexible Robot Arm: Experimental and Theoretical , 1987 .

[52]  M.J.G. van de Molengraft,et al.  Identification of non-linear mechanical systems : for control application , 1990 .

[53]  J. Wittenburg,et al.  Dynamics of systems of rigid bodies , 1977 .

[54]  Riccardo Marino,et al.  Nonlinear control techniques for flexible joint manipulators: A single link case study , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[55]  J.-J.E. Slotine,et al.  Two-time Scale Sliding Control of Manipulators with Flexible Joints , 1986, 1986 American Control Conference.

[56]  Bernard Brogliato,et al.  ADAPTIVE TRAJECTORY TRACKING FOR FLEXIBLE JOINT MANIPULATORS WITHOUT JOINT ACCELERATION MEASUREMENT , 1992 .

[57]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[58]  M. Spong.  Modeling and Control of Elastic Joint Robots , 1987 .

[59]  Bruno Siciliano,et al.  Joint-Based Control of a Nonlinear Model of a Flexible Arm , 1988, 1988 American Control Conference.

[60]  A. TUSTIN,et al.  Automatic Control Systems , 1950, Nature.

[61]  Lih-Chang Lin,et al.  Motor-based control of manipulators with flexible joints and links , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[62]  T. I. James Tsay,et al.  Robust nonlinear control of robot manipulators , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[63]  Lakmal Seneviratne,et al.  Adaptive Control Of Robot Manipulators , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[64]  Bruno Siciliano,et al.  A Singular Perturbation Approach to Control of Lightweight Flexible Manipulators , 1988, Int. J. Robotics Res..

[65]  Salvatore Nicosia,et al.  Singular Perturbation Techniques in the Adaptive Control of Elastic Robots , 1985 .

[66]  Shaheen Ahmad,et al.  Control of industrial robots with flexible joints , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[67]  Bernard Brogliato,et al.  Adaptive Control of Robot Manipulators with Flexible Joints , 1991, 1991 American Control Conference.

[68]  Antti J. Koivo,et al.  Self-tuning control of planar two-link manipulator with non-rigid arm , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[69]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[70]  H. Henrichfreise.  The Control of an Elastic Manipulation Device using DSP , 1988, 1988 American Control Conference.

[71]  Jean-Jacques E. Slotine,et al.  Tracking control of nonlinear systems using sliding surfaces , 1983 .

[72]  A. J. Kaats.  Adaptive computed torque computed reference control of flexible joint manipulators , 1993 .

[73]  H. Tokumaru,et al.  Inverse Dynamics of Flexible Robot Arms: Modeling and Computation for Trajectory Control , 1990 .

[74]  Bruno Siciliano,et al.  Two-Time Scale Stabilization of a Flexible Arm With Output Feedback , 1989, 1989 American Control Conference.

[75]  Shouchuan Hu.  Differential equations with discontinuous right-hand sides☆ , 1991 .

[76]  Bruno Siciliano,et al.  Model Reference Adaptive Control of a One Link Flexible Arm , 1986 .

[77]  Tien C. Hsia,et al.  Adaptive control of robot manipulators - A review , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[78]  Suguru Arimoto,et al.  Stability and robustness of PID feedback control for robot manipulators of sensory capability , 1984 .

[79]  Petar V. Kokotovic,et al.  An integral manifold approach to the feedback control of flexible joint robots , 1987, IEEE J. Robotics Autom..

[80]  Michael R. Osborne,et al.  Numerical solution of boundary value problems for ordinary differential equations , 1995, Classics in applied mathematics.

[81]  Salvatore Nicosia,et al.  A new approach to control elastic joint robots with application to adaptive control , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[82]  Mark W. Spong,et al.  A Comparison of Feedback Linearization and Singular Perturbation Techniques for the Control of Flexible Joint Robots , 1989, 1989 American Control Conference.

[83]  Hans Butler.  Model reference adaptive control: Bridging the gap between theory and practice , 1990 .

[84]  Weiping Li,et al.  Composite adaptive control of robot manipulators , 1989, Autom..

[85]  T. Fukuda.  Flexibility control of elastic robotic arms , 1985 .

[86]  de Ag Bram Jager,et al.  Practical evaluation of robust control for a class of nonlinear mechanical dynamic systems , 1992 .

[87]  Brad Paden,et al.  Globally asymptotically stable ‘PD+’ controller for robot manipulators , 1988 .

[88]  Ph. D. Miomir Vukobratović D.Sc.,et al.  Real-Time Dynamics of Manipulation Robots , 1985, Communications and Control Engineering Series.

[89]  Patrizio Tomei,et al.  An approach to the adaptive control of elastic at joints robots , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[90]  J. J. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.

[91]  B. de Jager.  Improving the Tracking Performance of Mechanical Systems by Adaptive Extended Friction Compensation , 1993 .

[92]  G. Goodwin,et al.  Adaptive computed torque control for rigid link manipulators , 1986, 1986 25th IEEE Conference on Decision and Control.

[93]  Mark W. Spong,et al.  Adaptive Integral Manifold Control of Flexible Joint Robots with Configuration Invariant Inertia , 1992, 1992 American Control Conference.

[94]  Lih-Chang Lin.  STATE FEEDBACK H_ CONTROL OF MANIPULATORS WITH FLEXIBLE JOINTS AND LINKS , 1991 .

[95]  R. H. Cannon,et al.  Initial Experiments on the End-Point Control of a Flexible One-Link Robot , 1984 .

[96]  Mark W. Spong,et al.  Invariant manifolds and their application to robot manipulators with flexible joints , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[97]  J. Y. S. Luh,et al.  Resolved-acceleration control of mechanical manipulators , 1980 .

[98]  A. M. Lyapunov.  The general problem of the stability of motion , 1992 .

[99]  Jean-Jacques E. Slotine,et al.  The Robust Control of Robot Manipulators , 1985 .

[100]  Ioan Doré Landau.  Future trends in adaptive control of robot manipulators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[101]  Fumitoshi Matsuno,et al.  Modeling and feedback control of a flexible arm , 1985, J. Field Robotics.

[102]  Wayne J. Book,et al.  Feedback control of two beam, two joint systems with distributed flexibility , 1975 .

[103]  Masayoshi Tomizuka,et al.  Implementation of Adaptive Techniques for Motion Control of Robotic Manipulators , 1988 .

[104]  Wayne J. Book.  New Concepts in Lightweight Arms , 1984 .

[105]  Fathi Ghorbel.  Adaptive Control of Flexible Joint Robot Manipulators: A Singular Perturbation Approach , 1991 .

[106]  M. F.,et al.  Bibliography , 1985, Experimental Gerontology.

[107]  Patrizio Tomei,et al.  A Method for the state estimation of elastic joint robots by global position measurements , 1990 .