Abstract
A fundamental requirement in human-robot interaction is the capability for motion in the constrained task space. The control design for robotic manipulators is investigated in this paper, subject to uncertainties and constrained task space. The neural networks (NN) are employed to estimate the uncertainty of robotic dynamics, while the integral barrier Lyapunov Functional (iBLF) is used to handle the effect of constraint. With the proposed control strategy, the system output can converge to an adjustable constrained space without violating the predefined constrained region. Semi-globally uniformly ultimate boundedness of the closed-loop system is guaranteed via Lyapunov’s stability theory. Simulation examples are provided to illustrate the performance of the proposed strategy.
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References
Avanzini, G.B., Ceriani, N.M., Zanchettin, A.M., Rocco, P., Bascetta, L.: Safety control of industrial robots based on a distributed distance sensor. IEEE Trans. Control. Syst. Technol. 22(6), 2127–2140 (2014)
Cheah, C., Liu, C., Slotine, J.J.E.: Adaptive Jacobian tracking control of robots with uncertainties in kinematic, dynamic and actuator models. IEEE Trans. Autom. Control 51(6), 1024–1029 (2006)
Dong, Y., Ren, B.: UDE-based variable impedance control of uncertain robot systems. IEEE Trans. Syst., Man, Cybern.: Syst. (2017)
Fink, J.: Anthropomorphism and human likeness in the design of robots and human-robot interaction. In: Ge, S.S., Khatib, O., Cabibihan, J.-J., Simmons, R., Williams, M.-A. (eds.) ICSR 2012. LNCS (LNAI), vol. 7621, pp. 199–208. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-34103-8_20
Ge, S.S., Lee, T.H., Harris, C.J.: Adaptive Neural Network Control of Robotic Manipulators. World Scientific, River Edge (1998)
Goodrich, M.A., Schultz, A.C., et al.: Human-robot interaction: a survey. Found. Trends Hum.-Comput. Interact. 1(3), 203–275 (2008)
Hancock, P.A., Billings, D.R., Schaefer, K.E., Chen, J.Y., De Visser, E.J., Parasuraman, R.: A meta-analysis of factors affecting trust in human-robot interaction. Hum. Factors 53(5), 517–527 (2011)
He, W., Chen, Y., Yin, Z.: Adaptive neural network control of an uncertain robot with full-state constraints. IEEE Trans. Cybern. 46(3), 620–629 (2016)
He, W., Dong, Y.: Adaptive fuzzy neural network control for a constrained robot using impedance learning. IEEE Trans. Neural Netw. Learn. Syst. 29, 1174–1186 (2017)
He, W., Ge, S.S., How, B.V.E., Choo, Y.S., Hong, K.S.: Robust adaptive boundary control of a flexible marine riser with vessel dynamics. Automatica 47(4), 722–732 (2011)
He, W., Zhang, S., Ge, S.S.: Adaptive control of a flexible crane system with the boundary output constraint. IEEE Trans. Ind. Electron. 61(8), 4126–4133 (2014)
Hogan, N.: Impedance control - an approach to manipulation. I - Theory. II - Implementation. III - Applications. J. Dyn. Syst., Meas., Control 107, 1–24 (1985)
Kim, B.S., Yoo, S.J.: Adaptive control of nonlinear pure-feedback systems with output constraints: integral barrier Lyapunov functional approach. Int. J. Control, Autom. Syst. 13(1), 249–256 (2015)
Lacevic, B., Rocco, P., Zanchettin, A.M.: Safety assessment and control of robotic manipulators using danger field. IEEE Trans. Robot. 29(5), 1257–1270 (2013)
Lewis, F., Jagannathan, S., Yesildirak, A.: Neural Network Control of Robot Manipulators and Non-Linear Systems. CRC Press, Boca Raton (1998)
Li, D.J., Li, J., Li, S.: Adaptive control of nonlinear systems with full state constraints using integral barrier Lyapunov functionals. Neurocomputing 186, 90–96 (2016)
Li, Y., Ge, S.S.: Human-robot collaboration based on motion intention estimation. IEEE/ASME Trans. Mechatron. 19(3), 1007–1014 (2014)
Li, Z., Huang, Z., He, W., Su, C.Y.: Adaptive impedance control for an upper limb robotic exoskeleton using biological signals. IEEE Trans. Ind. Electron. 64(2), 1664–1674 (2017)
Li, Z., Su, C., Wang, L., Chen, Z., Chai, T.: Nonlinear disturbance observer based control design for a robotic exoskeleton incorporating fuzzy approximation. IEEE Trans. Ind. Electron. 62(9), 5763–5775 (2015)
Li, Z., Yang, C., Su, C.Y., Deng, S., Sun, F., Zhang, W.: Decentralized fuzzy control of multiple cooperating robotic manipulators with impedance interaction. IEEE Trans. Fuzzy Syst. 23(4), 1044–1056 (2014)
Liu, Y.J., Tong, S.C.: Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems. Automatica 76(2), 143–152 (2017)
Liu, Y.J., Tong, S.: Barrier Lyapunov functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints. Automatica 64(C), 70–75 (2016)
Mayne, D.Q., Rawlings, J.B., Rao, C.V., Scokaert, P.O.: Constrained model predictive control: stability and optimality. Automatica 36(6), 789–814 (2000)
Mehdi, H., Boubaker, O.: Stiffness and impedance control using Lyapunov theory for robot-aided rehabilitation. Int. J. Soc. Robot. 4(1), 107–119 (2012)
Meng, W., Yang, Q., Sun, Y.: Adaptive neural control of nonlinear MIMO systems with time-varying output constraints. IEEE Trans. Neural Netw. Learn. Syst. 26(5), 1074–1085 (2015)
Slotine, J.J.E., Li, W.: On the adaptive control of robot manipulators. Int. J. Robot. Res. 6, 49–59 (1987)
Slotine, J.J.E., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs (1991)
Tang, Z.L., Ge, S.S., Tee, K.P., He, W.: Adaptive neural control for an uncertain robotic manipulator with joint space constraints. Int. J. Control 89(7), 1428–1446 (2015)
Tee, K.P., Ge, S.S.: Control of state-constrained nonlinear systems using integral barrier Lyapunov functionals. In: 2012 IEEE 51st Annual Conference on Decision and Control (CDC), pp. 3239–3244. IEEE (2012)
Tee, K.P., Ge, S.S., Tay, E.H.: Barrier Lyapunov functions for the control of output-constrained nonlinear systems. Automatica 45(4), 918–927 (2009)
Tee, K.P., Ren, B., Ge, S.S.: Control of nonlinear systems with time-varying output constraints. Automatica 47(11), 2511–2516 (2011)
Yi, S.: Stable walking of qauadruped robot by impedance control for body motion. Int. J. Control Autom. 6(2), 99–110 (2013)
Zhang, H., Luo, Y., Liu, D.: Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints. IEEE Trans. Neural Netw. 20(9), 1490–1503 (2009)
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Zhang, S., Tang, Z. (2018). Adaptive Neural Control for Robotic Manipulators Under Constrained Task Space. In: Ge, S., et al. Social Robotics. ICSR 2018. Lecture Notes in Computer Science(), vol 11357. Springer, Cham. https://doi.org/10.1007/978-3-030-05204-1_59
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DOI: https://doi.org/10.1007/978-3-030-05204-1_59
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