This paper develops an extension of the state space model for discrete linear repetitive processes which, in addition to their theoretical interest, are also relevant to robotics applications. In particular, the effects of an additional term in the basie state space model of these processes, which represents a direct cross-dependence between successive passes, are investigated. The main results given are the extensions of the existing 2D global-state, and ID equivalent state space model approaches to stability and controllability analysis of this new model. Finally, the role of MATLAB based numerical analysis in this context is also illustrated.
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