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The purpose of this work is to deal with the synthesis problem of multidimensional (nD) feedback control systems by using Grobner basis approach. Necessary and sufficient solvability conditions are derived for nD general stabilization, regulation and tracking problems under various configurations and/or cases, which show that these problems can be essentially reduced to the solvability problems of...
Almost all of control methods proposed so far have been designed in the continuous-time domain. Actual systems, however, have been implemented in the discrete-time domain since MCU and/or microprocessors have been used for the control system, that is, the overall system turned to be a sampled-data system. For the sampled-data system, it is well known that the ultimate error cannot converge to zero...
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