Abstract
In this paper an internal model based approach to periodic input disturbance suppression for port-Hamiltonian systems is presented; more specifically, an adaptive solution able to deal with unknown periodic signal belonging to a given class is introduced.
After an introductive section, the adaptive internal model design procedure is presented in order to solve the input disturbance problem. This theoretical machinery is specialized for the energy-based port-Hamiltonian framework in order to prove the global asymptotical stability of the solution.
Finally, in order to clearly point out the effectiveness of the presented design procedure a tracking problem is solved for a robotic manipulator affected by torque ripples.
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References
Astol. A, Isidori A, Marconi L (2003) A note on disturbance suppression for hamiltonian systems by state feedback. 2nd IFAC Workshop LHMNLC, Seville, Spain
Bonivento C, Gentili L, Paoli A (2004a) Internal model based fault tolerant control of a robot manipulator. 43rd Conference on Decision and Control, Paradise Island, Bahamas
Bonivento C, Isidori A, Marconi L, Paoli A (2004b) Implicit fault tolerant control: Application to induction motors. Automatica 40(3):355–371
Byrnes C, Delli Priscoli F, Isidori A (1997a) Output regulation of uncertain nonlinear systems. Birkhäuser, Boston
Canudas de Wit C, Praly L (2000) Adaptive eccentricity compensation. IEEE Transactions on Control Systems Technology 8(5):757–766
Fujimoto K, Sakurama K, Sugie T (2003) Trajectory tracking control of port-controlled hamiltonian systems via generalized canonical transformations. Automatica 39(12):2059–2069
Gentili L, van der Schaft A (2003) Regulation and input disturbance suppression for port-controlled Hamiltonian systems. 2nd IFAC Workshop LHMNLC, Seville, Spain
Isidori A (1995) Nonlinear Control Systems. Springer-Verlag, London
Isidori A, Marconi L, Serrani A (2003) Robust Autonomous Guidance: An Internal Model-based Approach. Limited series Advances in Industrial Control, Springer Verlag, London
Maschke B, van der Schaft A (1992) Port-controlled hamiltonian system: modelling origins and system theoretic approach. 2nd IFAC NOLCOS, Bordeaux, France
Nikiforov V (1998) Adaptive non-linear tracking with complete compensation of unknown disturbances. European Journal of Control 4:132–139
Ortega R (2003) Some applications and recent results on passivity based control. 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Seville, Spain
Serrani A, Isidori A, Marconi L (2001) Semiglobal output regulation with adaptive internal model. IEEE Transaction On Automatic Control 46(8):1178–1194
van der Schaft A (1999) L 2-gain and Passivity Techniques in Nonlinear Control. Springer-Verlag, London
Bonivento C, Gentili L, Marconi L (2005) Balanced Robust Regulation of a Magnetic Levitation System. IEEE Tran. Control System Technology 13(6):1036–1044
Alleyne A (2000) Control of a class of nonlinear systems subject to periodic exogenous signals. IEEE Trans. on Control Systems Technology 8(2):279–287
Marino R, Santosuosso GL, Tomei P (2003) Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency. Automatica 19(10):1755–1761
Bodson M, Douglas S C (1997) Adaptive algorithms for the rejection of periodic disturbances with unknown frequencies. Automatica 33(12):2213–2221
Ortega R, van der Schaft A, Maschke B, Escobar G (1999) Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38(4):585–596
Bonivento C, Gentili L, Paoli A (2005) Internal model based framework for tracking and fault tolerant control of a permanent magnet synchronous motor. IFAC World Congress, Praha
Canudas de Wit C, Praly L (2000) Adaptive eccentricity compensation. IEEE Transactions on Control Systems Technology 8(5):757–766
Khalil H K (2002) Nonlinear Systems 3rd ed. Prentice Hall
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Gentili, L., Paoli, A., Bonivento, C. (2007). Input Disturbance Suppression for Port-Hamiltonian Systems: An Internal Model Approach. In: Bonivento, C., Marconi, L., Rossi, C., Isidori, A. (eds) Advances in Control Theory and Applications. Lecture Notes in Control and Information Sciences, vol 353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70701-1_5
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DOI: https://doi.org/10.1007/978-3-540-70701-1_5
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