Describing Function Analysis of Mechanical Systems with Nonlinear Friction and Backlash Phenomena

Describing Function Analysis of Mechanical Systems with Nonlinear Friction and Backlash Phenomena

This paper analyses the dynamical properties of systems with nonlinear friction and backlash phenomena based on the describing function method. The dynamics is illustrated using the Nyquist and Bode plots and the results are compared with those of standard models. Copyright © 2003 IFAC

Fractional Describing Function Analysis of Systems with Backlash and Impact Phenomena

This paper analyses the dynamical properties of systems with backlash and impact phenomena based on the describing function method. It is shown that this type of nonlinearity can be analyzed in the perspective of the fractional calculus theory. The fractional-order dynamics is illustrated using the Nyquist plot and the results are compared with those of standard models.

Analysis of Systems with Backlash and Impacts through the Describing Function

Describing Function Analysis of an Anti-Backlash Controller

Despite advances in design and fabrication, backlash remains a fundamental problem in precision mechanical applications. Deadzone and "play" in mechanical couplings cause hysteretic behavior as can structural components with memory. This behavior can degrade the performance of mechanical systems. When the system involves servo control, backlash can cause undesirable limit cycle oscillations. Ou...

Performance of Fractional PID Algorithms Control- ling Nonlinear Systems with Saturation and Backlash Phenomena

The development of fractional-order controllers is currently one of the most promising fields of research. However, most of the work in this area addresses the case of linear systems. This paper reports on the analysis of fractional-order control of nonlinear systems. The performance of discrete fractional-order PID controllers in the presence of several nonlinearities is discussed. Some result...