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33







                                                               Advanced Control of an

                                                                    Electrohydraulic Axis






                                                              33.1  Introduction
                                                              33.2  Generalities Concerning ROBI_3, a Cartesian
                                                                    Robot with Three Electrohydraulic Axes
                                                              33.3  Mathematical Model and Simulation of
                                                                    Electrohydraulic Axes
                                                                    The Extended Mathematical Model  •  Nonlinear
                                                                    Mathematical Model of the Servovalve  •  Nonlinear
                                                                    Mathematical Model of Linear Hydraulic Motor
                                                              33.4  Conventional Controllers Used to
                                                                    Control the Electrohydraulic Axis
                                                                    PID, PI, PD with Filtering • Observer • Simulation Results
                                                                    of Electrohydraulic Axis with Conventional Controllers
                                                              33.5  Control of Electrohydraulic Axis with
                                                                    Fuzzy Controllers
                                                              33.6  Neural Techniques Used to Control the
                                 Florin Ionescu                     Electrohydraulic Axis
                                 University of Applied Sciences     Neural Control Techniques
                                 Crina Vlad                   33.7  Neuro-Fuzzy Techniques Used to Control the
                                                                    Electrohydraulic Axis
                                 Politeknica University of Bucharest

                                                                    Control Structure
                                 Dragos Arotaritei            33.8  Software Considerations
                                 Aalborg University Esbjerg   33.9  Conclusions

                                 33.1 Introduction


                                 Due to the development of technology in the last few years, robots are seen as advanced mechatronic
                                 systems which require knowledge from mechanics, actuators, and control in order to perform very
                                 complex tasks. Different kinds of servo-systems, especially electrohydraulic, could be met at the executive
                                 level of the robots. Taking into account the most advanced control approaches, this paper deals with the
                                 implementation of advanced controllers besides conventional ones which are used in an electrohydraulic
                                 system. The considered electrohydraulic system is one of the axes of a robot. These robots possess three
                                 or more electrohydraulic axes, which are identical with the axis studied in this chapter.
                                   An electrohydraulic axis whose mathematical model (MM) is described in this chapter presents a
                                 multitude of nonlinearities. Conventional controllers are becoming increasingly inappropriate to control
                                 the systems with an imprecise model where many nonlinearities are manifested. Therefore, advanced
                                 techniques such as neural networks and fuzzy algorithms are deeply involved in the control of such
                                 systems. Neural networks, initially proposed by McCulloch and Pitts, Rosenblatt, Widrow, had several





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