Real-time robust adaptive control of robots subjected to actuator voltage constraint

This paper is concerned with the problem of design and implementation of a robust adaptive control strategy for electrically driven robots while considering to the constraints on the actuator voltage input. The proposed approach provides a flexible design framework and stable to deal with robustness compared with many other adaptive controllers, such as halting/slowing adaption techniques and adaptively adjusting command signal, which are proposed for robotic applications. The control design procedure is based on a new form of universal approximation theory and using Stone–Weierstrass theorem, to avoid saturation besides being robust against both structured and unstructured uncertainties associated with external disturbances and actuated manipulator dynamics. Moreover, the proposed approach eliminates problems arising from classic adaptive feedforward control scheme. The analytical studies as well as experimental results produced using MATLAB/SIMULINK external mode control on a two degree of freedom electrically driven robot demonstrate high performance of the proposed control schemes.

[1]  W. Rudin Principles of mathematical analysis , 1964 .

[2]  Masayoshi Tomizuka,et al.  Adaptive Zero Phase Error Tracking Algorithm for Digital Control , 1987 .

[3]  Hassan K. Khalil,et al.  Singular perturbations in systems and control , 1986 .

[4]  Tarek Tutunji,et al.  Mechatronic systems identification using an impulse response recursive algorithm , 2007, Simul. Model. Pract. Theory.

[5]  Mohammad Mehdi Fateh,et al.  Robust control of flexible-joint robots using voltage control strategy , 2012 .

[6]  Mohammad Mehdi Fateh,et al.  Robust Lyapunov-Based Control of Flexible-Joint Robots Using Voltage Control Strategy , 2014 .

[7]  C. K. Lee,et al.  Utilization of the saturation effect on a DC motor drive with a fuzzy controller , 1995, Proceedings IEEE Conference on Industrial Automation and Control Emerging Technology Applications.

[8]  An-Chyau Huang,et al.  Adaptive impedance controller design for flexible-joint electrically-driven robots without computation of the regressor matrix , 2011, Robotica.

[9]  Guangjun Liu,et al.  Comparative Study of Robust Saturation-Based Control of Robot Manipulators: Analysis and Experiments , 1996, Int. J. Robotics Res..

[10]  Karl Johan Åström,et al.  Zeros of sampled systems , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[11]  Qiang Wang,et al.  Adaptive control scheme achieving smooth control input in the presence of input saturation , 2009, ICNSC 2009.

[12]  Yung Ting,et al.  Saturation avoidance methods for serial robots operating under a failure , 1999 .

[13]  İlyas Eker,et al.  Nonlinear modeling and identification of a DC motor for bidirectional operation with real time experiments , 2004 .

[14]  Indra Narayan Kar,et al.  Adaptive control of robot manipulators using fuzzy logic systems under actuator constraints , 2005, Fuzzy Sets Syst..

[15]  An-Chyau Huang,et al.  Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties , 2004, IEEE Trans. Control. Syst. Technol..

[16]  Víctor Santibáñez,et al.  Stability of Robot Manipulators Under Saturated PID Compensation , 2008, IEEE Transactions on Control Systems Technology.

[17]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[18]  Warren E. Dixon,et al.  Adaptive Regulation of Amplitude Limited Robot Manipulators With Uncertain Kinematics and Dynamics , 2007, IEEE Transactions on Automatic Control.

[19]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[20]  An-Chyau Huang,et al.  Adaptive Impedance Control of Robot Manipulators based on Function Approximation Technique , 2004, Robotica.

[21]  Fernando Reyes-Cortés,et al.  Global Trajectory Tracking Through Static Feedback for Robot Manipulators With Bounded Inputs , 2009, IEEE Transactions on Control Systems Technology.

[22]  Warren E. Dixon,et al.  Adaptive set-point control of robotic manipulators with amplitude-limited control inputs , 2000, Robotica.

[23]  Jianbo Su,et al.  Computed torque control-based composite nonlinear feedback controller for robot manipulators with bounded torques , 2009 .

[24]  Li Xu,et al.  Adaptive robust motion control of linear motors for precision manufacturing , 2002 .

[25]  Max Donath,et al.  American Control Conference , 1993 .

[26]  Eric N. Johnson,et al.  Neural network adaptive control of systems with input saturation , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[27]  Homayoun Seraji,et al.  Decentralized adaptive control of manipulators: theory, simulation, and experimentation , 1989, IEEE Trans. Robotics Autom..

[28]  V. Santibáñez,et al.  A practical PID regulator with bounded torques for robot manipulators , 2010 .

[29]  R. Ortega,et al.  On global output feedback regulation of Euler-Lagrange systems with bounded inputs , 1997, IEEE Trans. Autom. Control..

[30]  Alireza Izadbakhsh,et al.  A robust anti-windup control design for electrically driven robots — Theory and experiment , 2011 .

[31]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[32]  Anuradha M. Annaswamy,et al.  Adaptive control in the presence of saturation non-linearity , 1997 .

[33]  Alireza Izadbakhsh,et al.  Endpoint perfect tracking control of robots — A robust non inversion-based approach , 2009 .

[34]  Wei Zhang,et al.  Adaptive Robotic Control Based on a Filter Function Under the Saturation of Actuators , 2006, 2006 International Conference on Machine Learning and Cybernetics.

[35]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[36]  Abbas Emami-Naeini,et al.  Feedback Control of Dynamic Systems (6th edition) , 2010 .

[37]  An-Chyau Huang,et al.  A FAT-based adaptive controller for robot manipulators without regressor matrix: theory and experiments , 2005, Robotica.

[38]  Víctor Santibáñez,et al.  Simple extensions of the PD-with-gravity-compensation control law for robot manipulators with bounded inputs , 2006, IEEE Transactions on Control Systems Technology.

[39]  Víctor Santibáñez,et al.  A Natural Saturating Extension of the PD-With-Desired-Gravity-Compensation Control Law for Robot Manipulators With Bounded Inputs , 2007, IEEE Transactions on Robotics.

[40]  A. Izadbakhsh,et al.  Robust control methodologies for optical micro electro mechanical system - new approaches and comparison , 2008, 2008 13th International Power Electronics and Motion Control Conference.

[41]  An-Chyau Huang,et al.  Adaptive Control of Robot Manipulators: A Unified Regressor-Free Approach , 2010 .

[42]  Chien Chern Cheah,et al.  Adaptive Jacobian vision based control for robots with uncertain depth information , 2010, Autom..

[43]  Anuradha M. Annaswamy,et al.  Adaptive Control in the Presence of Input Constraints , 1993 .