國立臺灣大學電機工程學系暨研究所馮蟻剛2006-07-252018-07-062006-07-252018-07-061998-07-31http://ntur.lib.ntu.edu.tw//handle/246246/7675在本計畫中，針對特定形式之拋物線 型分佈參數系統，研究一有限維控制器的 設計方式。 透過關於分佈參數系統的有限維近 似，可以最佳控制理論容易地設計有限維 的控制器，在本研究中，提出運用此有限 維控制器時，全系統穩定性及表現度的分 析方式。其結果則顯示，對於特定形式的 拋物線型分佈參數系統，在有限維的近似 模型下所設計的有限維控制器，是可以指 數化地穩定全系統，我們並可對其相對於 有限維近似模型的表現度變化進行估計。This research deals with the finite dimensional controller design problem for certain class of parabolic type distributed parameter systems. Based on a finite dimensional approximation model of the distributed parameter systems, we can design finite dimensional controllers via the optimal control theory for finite dimensional systems. For these controllers, we make the stability and performance analysis of the overall system including the controller. The result shows that for the class of distributed parameter systems under discussion, it is possible to design finite dimensional controllers directly based on the finite dimensional approximation model which exponentially stabilize the overall systems. We can also estimate the overall system performance change with respect to that of the finite dimensional model.application/pdf36217 bytesapplication/pdfzh-TW國立臺灣大學電機工程學系暨研究所分佈參數系統有限維控制器設 計最佳控制理論distributed parameter systemsfinite dimensional controller designoptimal control theoryreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/7675/1/872218E002029.pdf