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Abstract: This paper concerns the problem of output feedback tracking (OFT) control with bounded torque inputs of robot manipulators, and proposes a novel saturated OFT controller based on fuzzy self-tuning proportional and derivative (PD) gains. First, aiming to accomplish the whole closed-loop control with only position measurements, a linear filter is involved to generate a pseudo velocity error signal. Second, different from previous strategies, the arctangent function with error-gain is applied to ensure the boundedness of the torque control input, and an explicit system stability proof is made by using the theory of singularly perturbed systems. Moreover, a fuzzy self-tuning PD regulator, which guarantees the continuous stability of the overall closed-loop system, is added to obtain an adaptive performance in tackling the disturbances during tracking control. Simulation showed that the proposed controller gains more satisfactory tracking results than the others, with a better dynamic response performance and stronger anti-disturbance capability.

[1]Andrieu, V., Praly, L., 2009. A unifying point of view on output feedback designs for global asymptotic stabilization. Automatica, 45(8):1789-1798.

[2]Burkov, I.V., 1998. Stabilization of a natural mechanical system without measuring its velocities with application to the control of a rigid body. J. Appl. Math. Mech., 62(6):853-862.

[3]Dai, D., Hu, T.S., Teel, A.R., Zaccarian, L., 2009. Output feedback design for saturated linear plants using deadzone loops. Automatica, 45(12):2917-2924.

[4]Hernandez-Guzman, V.M., Santibanez, V., Silva-Ortigoza, R., 2008. A new tuning procedure for PID control of rigid robots. Adv. Robot., 22(9):1007-1023.

[5]Hu, T.S., Teel, A.R., Zaccarian, L., 2008. Anti-windup synthesis for linear control systems with input saturation: achieving regional, nonlinear performance. Automatica, 44(2):512-519.

[6]Kelly, R., Santibanez, V., 2005. Control of Robot Manipulators in Joint Space. Springer, Berlin.

[7]Khalil, H.K., 2007. Nonlinear Systems. Publishing House of Electronics Industry, Beijing.

[8]Li, W., Chang, X.G., Wahl, F.M., Farrell, J., 2001. Tracking control of a manipulator under uncertainty by fuzzy P+ID controller. Fuzzy Sets Syst., 122(1):125-137.

[9]Liu, H.S., Zhu, S.Q., 2009. A generalized trajectory tracking controller for robot manipulators with bounded inputs. J. Zhejiang Univ.-Sci. A, 10(10):1500-1508.

[10]Llama, M.A., Santibanez, V., Kelly, R., 1998. Stable Fuzzy Self-tuning Computed-Torque Control of Robot Manipulators. Proc. IEEE Int. Conf. on Robotics and Automation, p.2369-2374.

[11]Llama, M.A., Santibanez, V., Flores, J., 1999. A Passivity Based Stability Analysis for a Fuzzy PD+ Control for Robot Manipulators. Proc. 18th Int. Conf. of the North American Fuzzy Information Processing Society, p.665-669.

[12]Llama, M.A., Kelly, R., Santibanez, V., 2001. A stable motion control system for manipulators via fuzzy self-tuning. Fuzzy Sets Syst., 124(2):133-154.

[13]Loria, A., Nijmeijer, H., 1998. Bounded output feedback tracking control of full actuated Euler-Lagrange systems. Syst. Control Lett., 33(3):151-161.

[14]Loria, A., Ortega, R., 1995. On tracking control of rigid and flexible joints robots. Int. J. Appl. Math. Comput. Sci., 5(2):101-113.

[15]Meza, J.L., Santibanez, V., Campa, R., 2007. An estimate of the domain of attraction for the PID regulator of manipulators. Int. J. Robot. Autom., 22(3):187-195.

[16]Moreno-Valenzuela, J., Santibanez, V., Campa, R., 2008a. On output feedback tracking control of robot manipulators with bounded torque input. Int. J. Control Autom. Syst., 6(1):76-85.

[17]Moreno-Valenzuela, J., Santibanez, V., Campa, R., 2008b. A class of OFT controllers for torque-saturated robot manipulators: Lyapunov stability and experimental evaluation. J. Intell. Robot. Syst., 51(1):65-88.

[18]Park, J.K., Choi, C.H., 1995. Dynamic compensation method for multivariable control systems with saturating actuators. IEEE Trans. Autom. Control, 40(9):1635-1640.

[19]Santibanez, V., Kelly, R., 2001. Global Asymptotic Stability of Bounded Output Feedback Tracking Control for Robot Manipulators. Proc. 44th IEEE Conf. on Decision and Control, p.1378-1379.

[20]Santibanez, V., Kelly, R., Llama, M.A., 2000. Fuzzy PD+ Control for Robot Manipulators. Proc. IEEE Int. Conf. on Robotics and Automation, p.2112-2117.

[21]Santibanez, V., Kelly, R., Llama, M.A., 2005. A novel global asymptotic stable set-point fuzzy controller with bounded torques for robot manipulators. IEEE Trans. Fuzzy Syst., 13(3):362-372.

[22]Santibanez, V., Kelly, R., Zavala-Rio, A., Parada, P., 2008. A New Saturated Nonlinear PID Global Regulator for Robot Manipulators. Proc. 17th IFAC Word Congress, p.11690-11695.

[23]Yoon, S.S., Park, J.K., Yoon, T.W., 2008. Dynamic anti-windup scheme for feedback linearizable nonlinear control systems with saturating inputs. Automatica, 44(12):3176-3180.