Controller design for rigid-flexible multibody systems

Controller design for rigid-flexible multibody systems is considered. The importance of full coupling between the rigid and flexible motions in the dynamic model is emphasized. Some computed torque-type controllers for rigid-flexible multibody systems are studied using simulations of a two-link system. It is found that a controller design based on uncoupled equations of motion generally provides good performance when evaluated on a fully coupled simulation model. Evaluating controllers, however, using uncoupled equations in the simulation can give misleading results. Robustness to nonlinearities is investigated, since the computed torque-type control cannot cancel all the nonlinear terms. Uncoupled controllers tend to be more robust than controllers based on linear quadratic design, and of the controllers considered the Corless-Leitmann controller gave the best robustness results for uncancelled nonlinear terms. Spillover and robustness to model parameter uncertainty are also investigated through simulations.<<ETX>>

[1]  Y. H. Chen,et al.  Controller Design Robust to Frequency Variation in a One-Link Flexible Robot Arm , 1989 .

[2]  Martin Corless,et al.  Tracking Controllers for Uncertain Systems: Application to a Manutec R3 Robot , 1989 .

[3]  J. C. Simo,et al.  The role of non-linear theories in transient dynamic analysis of flexible structures , 1987 .

[4]  M. Balas,et al.  Feedback control of flexible systems , 1978 .

[5]  S. M. Joshi,et al.  Robustness properties of collocated controllers for flexible spacecraft , 1986 .

[6]  Richard P. Paul,et al.  Resolved Motion Force Control of Robot Manipulator , 1982, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  A. Galip Ulsoy,et al.  Control of a Flexible Robot Arm: Experimental and Theoretical , 1987 .

[8]  A. G. Ulsoy,et al.  Flexural motion of a radially rotating beam attached to a rigid body , 1988 .

[9]  P. W. Likins,et al.  Floating reference frames for flexible spacecraft , 1977 .

[10]  Y. H. Chen,et al.  On the Robustness of Mismatched Uncertain Dynamical Systems , 1987 .

[11]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[12]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[13]  P. Meckl,et al.  Reducing residual vibration in systems with uncertain resonances , 1988, IEEE Control Systems Magazine.

[14]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[15]  N. H. McClamroch,et al.  Feedback stabilization and tracking of constrained robots , 1988 .

[16]  Martin Corless,et al.  Control of uncertain mechanical systems with robustness in the presence of unmodelled flexibilities , 1989 .

[17]  R. C. Winfrey,et al.  Elastic Link Mechanism Dynamics , 1971 .

[18]  P. Likins,et al.  Floating reference frames for flexible spacecraft , 1977 .

[19]  George Leitmann,et al.  On ultimate boundedness control of uncertain systems in the absence of matching assumptions , 1982 .

[20]  Wayne J. Book,et al.  Feedback control of two beam, two joint systems with distributed flexibility , 1975 .

[21]  I. Ha,et al.  Robust tracking in nonlinear systems , 1987 .

[22]  R. Skelton,et al.  Control of state and input covariances for dynamic systems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[23]  Jean-Jacques E. Slotine,et al.  Robot analysis and control , 1988, Autom..

[24]  Leonard Meirovitch,et al.  Computational Methods in Structural Dynamics , 1980 .