An area traffic control network system is considered in this paper. Optimal signal settings can be determined while trip rates and network flow are in equilibrium. This problem can be formulated as a nonlinear mathematical program with equilibrium constraints. For the objective function, the system
Nonlinear Position Control of a Scissor-like Kinematics with Elastic Bodies
โ Scribed by Alexandra Ast; Peter Eberhard
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 857 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0936-7195
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
Parallel kinematics such as the described machine tools with scissorโlike kinematics present as nonlinear mechanical and strongly coupled systems with flexible bodies new challenges in the design and control of machine tools. Linear and independently controlled drives become infeasible due to the parallel setup, machine vibrations become important because lightweight designs are used. Advanced nonlinear and multiโvariable control methods show the potential to significantly increase the system performance. Furthermore, flexible multibody system models are a powerful tool for the controller design and evaluation in simulations. In this paper, a rigid as well as a flexible multibody system model of a test machine with scissorlike kinematics is developed. Experimental results with the machine prove that the developed nonlinear flatnessโbased position controller is able to reduce the trajectory error significantly and that is is possible to achieve an adequate system performance with a nonlinear algorithm in a standard control setup for machine tools. Simulation results with the flexible multibody system further accentuate the need for additional measures such as active vibration damping if flexibilities and process forces are present in the system. (ยฉ 2008 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
๐ SIMILAR VOLUMES
## Abstract We expose and discuss a model for certain โcordโbelt likeโ manyโbody structures in a geometrically and constitutively nonlinear regime that accounts for noninterpenetration of matter in the sense of Ciarlet and Neฤas. As the structures compose of more and simultaneously smaller bodies,
As w&s stated in Part I, the linear control models of a radically rotating elastic rod in all the analysis and design procedures for lead with closed-loop system compensation is presented. For a given linear system model, if the model is accurate, it will be accurate only over a very limit range of
R is required to positio~l a Lagrang~ system whose free and controllable degrees of freedom are elastically linked. The equations of motion of such systems describe, in particular, the dynamics of a robot manipulator with elastic joints. The proposed control laws enable restrictions ,an the value of