Low frequency positive real control for delta operator systems

Authors:
Hongjiu Yang;Yuanqing Xia
Affiliations:
School of Automation, Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing Institute of Technology, Beijing 100081, China and Institute of Electrical Engineering, Yanshan ...;School of Automation, Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing Institute of Technology, Beijing 100081, China
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

A strictly positive real control problem for delta operator systems in a low frequency range is presented by using the generalized Kalman-Yakubovic-Popov lemma. The objective of the strictly positive real control problem is to design a controller such that the transfer function is strictly positive real and the resulting closed-loop system is stable. Sufficient conditions for the low frequency strictly positive real controller of the closed-loop delta operator systems are presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques.