Abstract
In this chapter, we present adaptive nonlinear \({\mathcal{H}}_{\infty}\) controllers for robot manipulators. Similarly to the controllers presented in Chap. 3, the ones here guarantee robustness to parametric uncertainty and external disturbances. They go beyond, however, by allowing us to estimate the parametric uncertainties and the unmodeled dynamics. These adaptive control laws are added into the standard nonlinear \({\mathcal{H}}_{\infty}\) control approach whose derivation is based on the nominal model of the manipulator. Two adaptive control strategies are considered in this chapter, the first one based on linear parameterizations and the second one based on neural networks estimates.
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References
Bergerman M (1996) Dynamics and control of underactuated manipulators. Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, p 129
Chang YC (2000) Neural network-based \({\mathcal{H}}_{\infty}\) tracking control for robotic systems. IEE Proc Control Theory Appl 147(3):303–311
Chang YC, Chen BS (1997) A nonlinear adaptive \({\mathcal{H}}_{\infty}\) tracking control design in robotic systems via neural networks. IEEE Trans Control Syst Technol 5(1):13–29
Chen BS, Chang YC, Lee TC (1997) Adaptive control in robotic systems with \({\mathcal{H}}_{\infty}\) tracking performance. Automatica 33(2):227–234
Chen BS, Lee TS, Feng JH (1994) A nonlinear \({\mathcal{H}}_{\infty}\) control design in robotic systems under parameter perturbation and external disturbance. Int J Control 59(2):439–461
Craig JJ (1985) Adaptive control of mechanical manipulators. Addison-Wesley, Reading
Ge SS, Lee TH, Harris CJ (1998) Adaptive neural network control of robotic manipulators. World Scientific, Singapore
Lewis FL, Abdallah CT, Dawson DM (2004) Robot manipulator control: theory and practice. Marcel Dekker, Inc., New York
Postlethwaite I, Bartoszewicz A (1998) Application of non-linear \({\mathcal{H}}_{\infty}\) control to the Tetrabot robot manipulator. Proc Inst Mech Eng: Part I. J Syst Control Eng 212(16):459–465
Siqueira AAG, Petronilho A, Terra MH (2003) Adaptive nonlinear \({\mathcal{H}}_{\infty}\) techniques applied to a robot manipulator. In: Proceedings of the IEEE conference on control applications, Istanbul, Turkey
Slotine JJ, Li W (1987) On the adaptive control of robot manipulators. Int J Rob Res 6(3):49–59
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© 2011 Springer-Verlag London Limited
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Siqueira, A.A.G., Terra, M.H., Bergerman, M. (2011). Adaptive Nonlinear \({{\mathcal{H}}}_{\user2{\infty}}\) Control. In: Robust Control of Robots. Springer, London. https://doi.org/10.1007/978-0-85729-898-0_4
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DOI: https://doi.org/10.1007/978-0-85729-898-0_4
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