Passivity-Based Control

作者: Rogelio Lozano , Bernard Brogliato , Olav Egeland , Bernhard Maschke

DOI: 10.1007/978-1-4471-3668-2_6

关键词: Lyapunov functionControl theoryDynamical systems theoryDifferential inclusionDiscrete time and continuous timeRobust controlStability (learning theory)PassivityComputer scienceLyapunov stability

摘要: This chapter is devoted to investigate how the dissipativity properties of various systems examined in foregoing can be used design stable and robust feedback controllers (in continuous discrete time). We start with a classical result mechanics, which actually basis Lyapunov stability functions theory. The interest this that its proof hinges on important analysis tools, allows one make clear connection between next section brief survey passivity-based control methods, topic has been object numerous publications. Then, we go Lagrange–Dirichlet Theorem, state-feedback position-feedback for rigid-joint–rigid-link systems, set-valued fully actuated Lagrangian state output flexible-joint–rigid-link manipulators, without actuators dynamics, constrained systems. Regulation trajectory tracking problems, smooth nonsmooth dynamical are treated. ends presentation observers class differential inclusions represented by Lur’e

参考文章(64)
L. Menini, A. Tornambe, Asymptotic tracking of periodic trajectories for a simple mechanical system subject to nonsmooth impacts IEEE Transactions on Automatic Control. ,vol. 46, pp. 1122- 1126 ,(2001) , 10.1109/9.935068
John J. Craig, Ping Hsu, S. Shankar Sastry, Adaptive control of mechanical manipulators The International Journal of Robotics Research. ,vol. 6, pp. 16- 28 ,(1987) , 10.1177/027836498700600202
M. M. Bridges, D. M. Dawson, C. T. Abdallah, Contril of rigid-link, flexible-joint robots:a survey of backstepping approaches Journal of Robotic Systems. ,vol. 12, pp. 199- 216 ,(1995) , 10.1002/ROB.4620120305
Romeo Ortega, Mark W. Spong, Adaptive motion control of rigid robots: A tutorial Automatica. ,vol. 25, pp. 877- 888 ,(1989) , 10.1016/0005-1098(89)90054-X
A.M. Bloch, N.E. Leonard, J.E. Marsden, Stabilization of mechanical systems using controlled Lagrangians conference on decision and control. ,vol. 3, pp. 2356- 2361 ,(1997) , 10.1109/CDC.1997.657135
Feliks Ruvimovich Gantmakher, None, The Theory of Matrices ,(1984)
P.Y. Li, R. Horowitz, Passive velocity field control (PVFC). Part II. Application to contour following IEEE Transactions on Automatic Control. ,vol. 46, pp. 1360- 1371 ,(2001) , 10.1109/9.948464
R. Kelly, R. Carelli, Unified approach to adaptive control of robotic manipulators conference on decision and control. pp. 1598- 1603 ,(1988) , 10.1109/CDC.1988.194597
P.Y. Li, R. Horowitz, Passive velocity field control (PVFC). Part I. Geometry and robustness IEEE Transactions on Automatic Control. ,vol. 46, pp. 1346- 1359 ,(2001) , 10.1109/9.948463