Abstract
In this paper, a new method is proposed for the performance evaluation of a controlled flexible‐link gantry robot. The method relies on two mathematical tools: (i) the infinite product representation of transcendental functions, and (ii) the stability properties of a class of irrational passive transfer functions. Exact solutions of the infinite‐dimensional, closed‐loop, flexible‐link gantry system are obtained and compared with the experimental results available in the literature.
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