講座公告
講座題目👗：Denominator Assignment, Invariants, and Canonical Forms Under Dynamic Feedback Compensation in Linear Multivariable Nonsquare Systems
講座時間🏊🏽♀️： 2023年9月16日 上午9:30
講座地點： 教學3A507
主講人：Antonios Ioannis Vardoulakis教授
Antonios Ioannis Vardoulakis教授為希臘亞裏士多德大學控製理論學科教授，曾任亞裏士多德大學數學系計算機科學與數值分析組負責人，IEEEActionGroup on Symbolic Methods for Control 主席，IEEE Computational Aspects of Control System Design（CACSD）技術委員會成員。於1974年在曼徹斯特理工大學（UMIST）獲得博士學位🚶➡️，1975～1978年期間在英國帝國理工意昂參與“工業過程自適應控製”研究項目的研究，1978～1983年期間在劍橋大學從事線性多變量控製分析和綜合方法的研究，以及數學系統理論和控製的教學。1983年至今任職於希臘亞裏士多德大學👐🏻🗿，研究領域包括了數學系統理論、多變量控製、控製系統分析和設計的數值和符號方法、多項式和有理矩陣理論等🙆🏻♀️，在權威期刊發表論文110余篇👨🏼🚒，在線性多變量控製的代數和多項式矩陣方法和控製系統分析和設計技術領域取得了重要成果😹📉。
內容摘要：
本講座將討論針對一類輸出的數量大於或等於輸入的數量的一般多變量系統🛐，實現內部穩定和分母配置的正則補償器的簡單算法及其理論基礎。
In this seminar, the generalization of previously reported results for linear, time-invariant, stabilizable multivariable systems described by a strictly proper transfer function matrix P(s) with number of outputs greater than or equal to the number of inputs is discussed. By making use of a special kind of a left generalized inverse of P(s), we define and examine the equivalent relation R relating P(s) with the members of the equivalence class of the closed loop-transfer function matrices Pc(s) obtainable from P(s) by the use of a proper compensator C(s) in the feedback path. For R, we establish a set of complete invariants and a canonical form. These results give rise to a simple algorithmic procedure for the computation of proper internally stabilizing and denominator assigning compensators C(s) for the class of plants with equal number of inputs and outputs (p = m) and having no zeros in the closed right half complex plane: C+ and in the case when p > m plants characterized by right polynomial matrix fraction descriptions with a polynomial matrix numerator having at least one subset of m rows that give rise to a nonsingular polynomial matrix with no zeros in C+.
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