辽宁工业大学学报(自然科学版)
遼寧工業大學學報(自然科學版)
료녕공업대학학보(자연과학판)
Journal of Liaoning Institute of Technology (Natural Science Edition)
2015年
5期
336-343
,共8页
变时滞%鲁棒控制%线性矩阵不等式%保成本
變時滯%魯棒控製%線性矩陣不等式%保成本
변시체%로봉공제%선성구진불등식%보성본
time-varying delays%robust control%LMI%guaranteed cost control
主要研究了带有变时滞的奇异连续中立系统的保成本H∞控制器的设计。通过利用奇异系统理论,构造新的lyapunov泛函,基于线性矩阵不等式的技术,给出了系统镇定的判据。进而,只需要求解线性矩阵不等式,就可解得奇异中立系统的H∞鲁棒保成本控制器,使闭环系统保成本函数对给定的不确定参数都有上界。在文章的最后,通过数字算例说明了该方法的有效性。
主要研究瞭帶有變時滯的奇異連續中立繫統的保成本H∞控製器的設計。通過利用奇異繫統理論,構造新的lyapunov汎函,基于線性矩陣不等式的技術,給齣瞭繫統鎮定的判據。進而,隻需要求解線性矩陣不等式,就可解得奇異中立繫統的H∞魯棒保成本控製器,使閉環繫統保成本函數對給定的不確定參數都有上界。在文章的最後,通過數字算例說明瞭該方法的有效性。
주요연구료대유변시체적기이련속중립계통적보성본H∞공제기적설계。통과이용기이계통이론,구조신적lyapunov범함,기우선성구진불등식적기술,급출료계통진정적판거。진이,지수요구해선성구진불등식,취가해득기이중립계통적H∞로봉보성본공제기,사폐배계통보성본함수대급정적불학정삼수도유상계。재문장적최후,통과수자산례설명료해방법적유효성。
This paper considers the continuous generalized neutral singular system with time-varying delays. The state feedback controller is designedwith H∞guaranteed cost, and the controller depends on the time-varying delay. By using the theory of generalized systems, constructing the new lyapunov function, and using linear matrix inequality, the criteria of guaranteed performance index is given. Under the condition of robust stabilization system, only the linear matrix inequality is solved, the generalized neutral systems robust guaranteed cost controller can be solved, the closed-loop system’s guaranteed cost functions of upper and lower bounds of the uncertain parameters are given. At last, an example is given to provethe potential of the proposed method.