辽宁石油化工大学学报
遼寧石油化工大學學報
료녕석유화공대학학보
JOURNAL OF LIAONING UNIVERSITY OF PETROLEUM & CHEMICAL TECHNOLOGY
2014年
4期
58-62,80
,共6页
广义 Markov系统%时滞%非脆弱%保成本控制%线性矩阵不等式
廣義 Markov繫統%時滯%非脆弱%保成本控製%線性矩陣不等式
엄의 Markov계통%시체%비취약%보성본공제%선성구진불등식
Singular Markovian j ump system%Time delay%Non-fragile%Guaranteed cost control%Linear matrix inequality
在实际控制系统中,计算精度或者参数漂移等因素对控制器产生影响,使控制器本身具有不确定性,破坏了原有设计的控制效果,针对这一问题,对时滞广义 Markov 系统进行了非脆弱保成本控制的研究。控制器增益具有加法摄动和乘法摄动两种情况,以线性矩阵不等式的形式给出了在两种情况下非脆弱控制器增益的求解方法,实现对时滞广义 Markov系统的保成本控制。最后,利用数值例子验证了算法的有效性。
在實際控製繫統中,計算精度或者參數漂移等因素對控製器產生影響,使控製器本身具有不確定性,破壞瞭原有設計的控製效果,針對這一問題,對時滯廣義 Markov 繫統進行瞭非脆弱保成本控製的研究。控製器增益具有加法攝動和乘法攝動兩種情況,以線性矩陣不等式的形式給齣瞭在兩種情況下非脆弱控製器增益的求解方法,實現對時滯廣義 Markov繫統的保成本控製。最後,利用數值例子驗證瞭算法的有效性。
재실제공제계통중,계산정도혹자삼수표이등인소대공제기산생영향,사공제기본신구유불학정성,파배료원유설계적공제효과,침대저일문제,대시체엄의 Markov 계통진행료비취약보성본공제적연구。공제기증익구유가법섭동화승법섭동량충정황,이선성구진불등식적형식급출료재량충정황하비취약공제기증익적구해방법,실현대시체엄의 Markov계통적보성본공제。최후,이용수치례자험증료산법적유효성。
In the actual systems,due to the computation accuracy or parameter drift affecting the controllers,the control effect of the original design would be inevitably destroyed.To deal with this problem,the non-fragile guaranteed cost control of singular Markov j ump system with time delays was considered.Under the conditions of perturbation with addition and multiplication properties,the sufficient existence conditions for control gain were expressed by linear matrix inequalities respectively.In the case,the guaranteed cost control of singular Markov j ump system with time-delay could be achieved. Finally,the effectiveness of the method was verified by a numerical example.