Enhancement of the Variable Universe of Discourse Control by Hammersley Sequence-Based TP Model Transformation

The main results of the paper concern the enhanced tensor product model transformation-based variable universe of discourse controller (EHTPVUD) design, which uses Hammersley sampling method to generate hyper-cube grid for higher order singular value decomposition. Moreover, Hammersley sampling method-based parallel distributed compensation is also proposed as a comparison to the newly proposed variable universe of discourse controller. Error and error derivative are synthesized by the gains which are generated by Hammersley sampling method-based parallel distributed compensation. Then, EHTPVUD is designed based on the error universe of discourse and error derivative universe of discourse. Finally, EHTPVUD is tested by the gantry crane stabilization control problem and gantry crane tracking control problem.