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題名 | Design via Diagonal Matrices for Undecouplable Linear Systems=使用對角矩陣做不可解藕合線性系統之設計 |
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作者 | 李慶祥; Lee, Ching-hsiang; |
期刊 | 高雄應用科技大學學報 |
出版日期 | 20011200 |
卷期 | 31 2001.12[民90.12] |
頁次 | 頁81-90 |
分類號 | 448.942 |
語文 | eng |
關鍵詞 | 解藕合; 不穩定極點/零點同時發生; Smith-McMillan form; Decoupling; Unstable pole/zero coincidence; |
中文摘要 | 多輸入多輸出(MIMO)線性系統理論在數學上很優雅,但是由於不同管道間的交互作用,多輸入多輸出控制系統的設計並不簡單。將多輸入多輸出控制系統解藕合,可以使設計簡化成單輸入單輸出的控制計算,因此,當系統是可以解藕合時,吾人其望將之解藕合[4,11,12,13,18]。 多輸入多輸出線性系統可以解藕合的一個充要條件最近發表在[11]之中。當系統是不可以解藕合時,使用對角矩陣來做單輸入單輸出的控制器設計仍然可能。本文利用Smith-McMIllan form以進行使用對角矩陣來做不可以解藕合之控制器設計。一個文獻[11]中面對不穩定極點/零點同時發生之困難的不可以解藕合的例題,在本文中得以使用提出的方法而得到穩定化。 |
英文摘要 | Multi-input multi-output (MIMO) linear system theory is mathematically elegent, however, the design of MIMO control systems is not easy due to the interaction among different input-output chennels. Decoupling of multi-input multi-output systems can reduce the design effort into single-input single-output calculation, hence is desired when the systems are decouplable [4,11,12,13,18]. A necessary and sufficient condition for a multivariable linear system to be decouplable is recently given in [11]. When the systems are not decouplable, the (SISO) design of the compensators based on diagonal matrices is still possible. Using the Smith-McMillan form, the compensator of an undecouplable system is designed based on a diagonal matrix in this work. An example in [11] which faces the difficulty of unstable pole/zero coincidence and hence is undecouplable is finally stabilized by the method reported in this work. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。