ABSTRACT This paper presents a unified approach based on utilizing multidimensional arrays in order to model the physical and logical properties of mechatronics systems. A mechatronics system model consists of two interacting submodels.A submodel that describes aspects related to energy flow in the physical system, and another submodel that describes aspects related to information flow in the control system. The multidimensional array based approach of modelling provides us with the possibility to use one terminology and the same formalism for modelling both subsystems. The consequence of using the same formalism is that simulation of the mechatronics system can be performed using only one simulation environment58302
Keywords: Mechatronics, System, Modelling
1. INTRODUCTION
Mechatronics system is defined as the synergetic integration of mechanical engineering with electronics, and intelligent computer control in the design and manufacturing of industrial products and processes [5]. The components of mechatronics systems must be designed concurrently, that is, the constraints imposed on the system by each discipline must be considered at the very early stages. Therefore, proper system design will depend heavily on the use of modelling and simulation throughout the design and prototyping stages. The integration within a mechatronics system is performed through the combination of the hardware components resulting in a physical system and through the integration of the information processing system resulting in an intelligent control system [7].
The mechatronics system then, is the result of applying computer based control systems to physical systems. The control system is designed to execute commands in real time in order to select, enhance, and supervise the behavior of the physical system. The only possible way to guarantee that these control functions will keep the behavior of the whole system within certain boundaries before we actually build it, is to create a model of the real system that takes into account all the imposed constraints by both the hardware and software components. This implies that a model of the real system must be powerful enough to capture all the properties of mechatronics system. That includes; the dynamic, static, discrete event, logic, as well as cost related properties of the real system, a task we believe, defies any fragmented approach of modelling. In this paper we present a unified approach for modelling mechatronics systems. This unified approach utilizes geometric objects or multidimensional arrays to formulate models of mechatronics systems. The multidimensional array based approach of modelling provides us with the possibility to use the same formalism for a large variety of systems [2,3,4,9]. The consequence of using the same formalism is that simulation of mechatronics systems can be performed using only one simulation environment.
2. MODEL STRUCTURE
Intuitively speaking, a model that describes the dynamic behavior of a given system can not be used to investigate the static behavior of the very same system. Therefore, in order to capture all aspects, we need a variety of models, each one of them encapsulates some aspects of the real system.
We will consider the mechatronics system model as a set of connected submodels, each submodel corresponds to some realizable aspects. In this regard, the term connected was used to emphasize the dependency between the variables in these submodels. Throughout the process of modelling, we shall distinguish between the following concepts, see Figure 1.