Necessary and sufficient condition for modified Nevanlinna-Pick interpolation for closed-loop pole placement  

作　　者：Bhuvanadas ARUNA Rajagopalan DEVANATHAN 

机构地区：[1]Department of Electrical and Electronics Engineering, Viswajyothi College of Engineering and Technology, Ernakulam, Kerala, 686670 India [2]Department of Electrical and Electronics Engineering, Hindustan Institute of Technology and Science, Chennai, TN, 603103 India

出　　处：《Control Theory and Technology》2017年第1期58-68,共11页控制理论与技术（英文版）

摘　　要：Nevanlinna-Pick interpolation theory has sevaral applications, in particular in robust control. In this paper, we derive necessary and sufficient condition so that a modification of the Nevanlinna-Pick theory can place the closed-loop poles inside a circular region in the left half of the complex plane in addition to the control system design being robust and internally stable. Numerical examples illustrate the theory.Nevanlinna-Pick interpolation theory has sevaral applications, in particular in robust control. In this paper, we derive necessary and sufficient condition so that a modification of the Nevanlinna-Pick theory can place the closed-loop poles inside a circular region in the left half of the complex plane in addition to the control system design being robust and internally stable. Numerical examples illustrate the theory.

关 键 词：INTERPOLATION pole assignment ROBUSTNESS sensitivity UNCERTAINTY 

分 类 号：O241.3[理学—计算数学] TP273.1[理学—数学]