Abstract

This paper presents the design and implementation of an embedded motion controller for industrial applications. The proposed control system has many advanced functions, including: high flexibility, high performance motion profile planning and multiple axis interpolation calculation. A high performance DSP and a FPGA chip are used for processing all demanded tasks in real-time.

Highlights

  • In many physical systems, the states of the mathematical model depend on spatial variable, which is a position in a one-dimensional or multi-dimensional space

  • A powerful tool in the analysis of distributedparameter system(s) (DPSs) is the theory of C0 -semigroups

  • The proposed conception is efficient and suitable in practice applications; for instance, it is appropriate to be applied to estimate the states of a chemical tubular reactor, namely the isothermal PlugFlow Reactor basic dynamical model, with unknown initial state, in the case where measurements may occur at the reactor output only

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Summary

Introduction

In many physical systems (e.g., bio-reactor, vibrations problems in mechanics, diffusion problems), the states of the mathematical model depend on spatial variable, which is a position in a one-dimensional or multi-dimensional space. This kind of system is called distributedparameter system(s) (DPSs) (see [1]). The presence of spatial variables makes the state not available for direct measurements and that imposes limitations to the design. In such case, the states can be estimated using state estimators (observers). The proposed conception is efficient and suitable in practice applications; for instance, it is appropriate to be applied to estimate the states of a chemical tubular reactor, namely the isothermal PlugFlow Reactor basic dynamical model, with unknown initial state, in the case where measurements may occur at the reactor output only

Infinite Dimensional Observer Design
Application to the Plug-Flow Reactor Basic Model
Observer Design
Simulation Result
Conclusions and Prospects

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