Universität Bielefeld - Sonderforschungsbereich 360

Recurrent Neural Networks for Real-Time Kinematic Control and
Torque Optimization of Redundant Manipulators

Jun Wang

Department of Mechanical and Automation Engineering
The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

Monday, May 22nd, 2000, 2 p.m., D6 - 135


The use of Kinematically redundant manipulators with more degrees of freedom than those required for a specific task is a promising approach to robotic operations. The extra degrees of freedom in redundant manipulators provide the self-motion which can be utilized to avoid joint limits, obstacles, singularity, and to optimize various performance criteria. In this seminar, several recurrent neural networks will be presented for kinematic control and torque minimization of redundant manipulators. A two-layer recurrent neural network, called the Lagrangian network, will be first discussed for pseudoinverse control of kinematically redundant manipulators through explicitly minimizing the weighted 2-norm of velocity vector of joints in real time. The Lagrangian network is composed of two bidirectionally connected layers of neuron arrays representing the estimated velocity vector and the Lagrangian vector. Secondly, another two-layer recurrent neural network, called the primal-dual network, will be discussed for minimum infinity-norm kinematic control of redundant manipulators in conjunction with a Lagrangian network. Similar to the Lagrangian network, the primal-dual network also consists of two connected layers of neurons representing the estimated velocity vector and a dual layers of neurons representing the estimated velocity vector and a dual vector. While the command signals of desired velocity vector of the end-effector are fed into the input layer of a network, the output layer instantaneously generates the estimated joint velocity vector of the manipulator with the inverse kinematic equation satisfied. The Lagrangian network and the primal-dual network will be also discussed for their use in real-time torque minimization of redundant manipulators based on weighted 2-norm and infinity norm with or without bound constraints on torque. The analytical and simulation results show that the proposed recurrent neural networks are asymptotically stable and capable of kinematic control and torque optimization for redundant manipulators.

Biosketch

Jun Wang is an associate professor and the director of Computational Intelligence Laboratory in the Department of Mechanical & Automation Engineering at the Chinese University of Hong Kong. Prior to his current position, he was an associate professor (1993-1997) and an assistant professor (1990-1993) at the University of North Dakota, Grand Forks, North Dakota, USA; a member of technical staff at Zagar, Inc. in Cleveland, Ohio (1989-1990); a research/teaching assistant at Case Western Reserve University in Cleveland, Ohio (1986-1989); an instructor of electrical engineering at Dalian University of Technology, Dalian, China (1986). He received a B.S. degree in electrical engineering and an M.S. degree in systems engineering from Dalian Institute of Technology (now Dalian University of Technology). He received his Ph.D. degree in systems engineering from Case Western Reserve University. His current research interests include neural networks and their engineering applications. He has authored or co-authored about sixty papers published in international journals, ten chapters in edited books, numerous papers in conference proceedings. He is an Associate Editor of the IEEE Transactions on Neural Networks and a senior member of IEEE. Jun Wang is listed in Who's Who in America, Who's Who in Science and Engineering, Who's Who in the World, Who's Who among Asian Americans, American Men & Women of Science, among others.
Anke Weinberger, 2000-05-04