LMI-based algorithm for strictly positive real systems with static output feedback

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• 作者：M.R. Covacic^a ; ^{marciocovacic@uel.br} ; M.C.M. Teixeira^b ; ^{marcelo@dee.feis.unesp.br} ; E. Assunç ; ã ; o^b ; ^{edvaldo@dee.feis.unesp.br} ; R. Gaino^a ; ^{rgaino@uel.br}
• 关键词：LMI ; SPR ; Output feedback ; Algorithm
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：April, 2012
• 卷：61
• 期：4
• 页码：521-527
• 文件大小：400 K

摘要

An algorithm based on Linear Matrix Inequalities (LMIs) is proposed to find a constant output feedback matrix and a constant output tandem matrix such that the controlled system is Strictly Positive Real (SPR). The number of output variables of the plant is greater than or equal to the number of its input variables. Considering that SPR systems with static output feedback are related to SPR systems with static state feedback, as shown in this manuscript, the first step of the algorithm is to find a matrix such that all transmission zeros of the system have negative real parts. After finding this matrix , an output feedback matrix such that the system is SPR is found. Another algorithm is proposed to specify a decay rate. The results are applied to the simulation of electrical stimulation for paraplegic patients, to vary knee joint angle from 0掳 to 60掳.