Fuzzy adaptive dynamic surface control for a single-link flexible-joint robot

In this paper, a fuzzy adaptive controller is proposed for a single-link flexible-joint robot. Fuzzy logic systems are used to approximate unknown nonlinearities, and then a fuzzy state observer is designed to estimate the immeasurable states. By combining the adaptive backstepping design with dynamic surface control (DSC) technique, a fuzzy adaptive output-feedback backstepping control approach is developed. It is proved that all the signals of the resulting closed-loop system are semiglobally uniformly ultimately bounded (SGUUB), and both the observer and tracking errors converge to a small neighborhood of the origin by appropriate choosing the design parameters. The simulation results are provided to demonstrate the effectiveness of the proposed controller. Two key advantages of our scheme are that (i) the proposed control method does not require that the link velocity and actuator velocity of single-link flexible-joint robot be measured directly, and (ii) the problem of “explosion of complexity” is avoided.

[1]  Shengyuan Xu,et al.  Adaptive Output-Feedback Fuzzy Tracking Control for a Class of Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

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

[3]  Honghai Liu,et al.  Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault , 2012, IEEE Transactions on Fuzzy Systems.

[4]  P. S. Gandhi *,et al.  High-speed precision tracking with harmonic drive systems using integral manifold control design , 2005 .

[5]  Yanjun Liu,et al.  Adaptive robust fuzzy control for a class of uncertain chaotic systems , 2009 .

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

[7]  Chien Chern Cheah,et al.  Adaptive task-space regulation of rigid-link flexible-joint robots with uncertain kinematics , 2008, Autom..

[8]  Hamid D. Taghirad,et al.  Fuzzy error governor: A practical approach to counter actuator saturation on flexible joint robots , 2009 .

[9]  Woosoon Yim,et al.  Adaptive control of a flexible joint manipulator , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[10]  WuLigang,et al.  L2-L∞control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback , 2009 .

[11]  Daniel W. C. Ho,et al.  Fuzzy Filter Design for ItÔ Stochastic Systems With Application to Sensor Fault Detection , 2009, IEEE Transactions on Fuzzy Systems.

[12]  Bernhard Maschke,et al.  Dissipative Systems Analysis and Control , 2000 .

[13]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[14]  Chris Lightcap,et al.  An Extended Kalman Filter for Real-Time Estimation and Control of a Rigid-Link Flexible-Joint Manipulator , 2010, IEEE Transactions on Control Systems Technology.

[15]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[16]  Bing Chen,et al.  Direct adaptive fuzzy control for nonlinear systems with time-varying delays , 2010, Inf. Sci..

[17]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Tracking Control of MIMO Nonlinear Uncertain Systems , 2007, IEEE Transactions on Fuzzy Systems.

[18]  Alin Albu-Schäffer,et al.  On the Passivity-Based Impedance Control of Flexible Joint Robots , 2008, IEEE Transactions on Robotics.

[19]  Chang-Huan Liu,et al.  Controller design and implementation for industrial robots with flexible joints , 1992, IEEE Trans. Ind. Electron..

[20]  Yeong-Chan Chang,et al.  Robust tracking control for a class of electrically driven flexible-joint robots without velocity measurements , 2012, Int. J. Control.

[21]  Romeo Ortega,et al.  On the Role of Passivity and Output Injection in the Output Feedback Stabilisation Problem: Application to Robot Control , 1997, Eur. J. Control.

[22]  Frank L. Lewis,et al.  Robust backstepping control of a class of nonlinear systems using fuzzy logic , 2000, Inf. Sci..

[23]  Haisheng Yu,et al.  Fuzzy-approximation-based adaptive control of the chaotic permanent magnet synchronous motor , 2012 .

[24]  Rogelio Lozano,et al.  Adaptive control of robot manipulators with flexible joints , 1992 .

[25]  Alessandro Astolfi,et al.  On the construction of static stabilizers and static output trackers for dynamically linearizable systems, related results and applications , 2006 .

[26]  Hyungbo Shim,et al.  Robust Tracking and Vibration Suppression for a Two-Inertia System by Combining Backstepping Approach With Disturbance Observer , 2010, IEEE Transactions on Industrial Electronics.

[27]  Dan Wang,et al.  Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form , 2005, IEEE Transactions on Neural Networks.

[28]  Ligang Wu,et al.  A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Wilson Wang,et al.  Global Output Tracking Control of Flexible Joint Robots via Factorization of the Manipulator Mass Matrix , 2009, IEEE Transactions on Robotics.

[30]  Shaocheng Tong,et al.  Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach , 2007, Fuzzy Sets Syst..

[31]  Hamid D. Taghirad,et al.  A SURVEY ON THE CONTROL OF FLEXIBLE JOINT ROBOTS , 2006 .

[32]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control , 1994 .

[33]  Dong-Juan Li,et al.  Adaptive output feedback control of uncertain nonlinear chaotic systems based on dynamic surface control technique , 2012 .

[34]  S. Nicosia,et al.  Robot control by using only joint position measurements , 1990 .

[35]  Alessandro De Luca,et al.  PD control with on-line gravity compensation for robots with elastic joints: Theory and experiments , 2005, Autom..

[36]  Bing Chen,et al.  Direct adaptive neural control for strict-feedback stochastic nonlinear systems , 2011, Nonlinear Dynamics.

[37]  Wei Xing Zheng,et al.  ${\cal L}_{2}$– ${\cal L}_{\infty}$ Control of Nonlinear Fuzzy ItÔ Stochastic Delay Systems via Dynamic Output Feedback , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).