Abstract
The problem of end-point position control of a structuraily flexible robot arm can generally be embedeed as a nonhomogeneous, time-dependent boundary value problem. we suggestt an organic appproach which relies on an elegant transformation of a boundary value problem with homogeneous, time-varrying boundary conditions B.L.S to modifier problem with homogeneous and distributed input forces. for which modal control technique are applicable. The tranetomator leads to an infinite dimensional state space representation, which added trunation. is known to be completely controllible and conditionality completely observe. The advantage of using this transformation is that it can utilize the modal shapes and frequencies with are obtained for a given arm through finite element methods. We formulated the modified problem for a single link invisible aim and derived the state space model required for an actual controller design
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