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

被引：10

作者：

Covacic, M. R. ^{[1
]}

Teixeira, M. C. M. ^{[2
]}

Assuncao, E. ^{[2
]}

Gaino, R. ^{[1
]}

机构：

[1] Londrina State Univ UEL, Dept Elect Engn, Ctr Technol & Urbanism, BR-86051970 Londrina, PR, Brazil

[2] UNESP Univ Estadual Paulista, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, Brazil

来源：

SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

LMI; SPR; Output feedback; Algorithm; UNCERTAIN DYNAMIC-SYSTEMS; VARIABLE-STRUCTURE CONTROL; LINEAR SLIDING SURFACES; MISMATCHED UNCERTAINTIES; MULTIVARIABLE SYSTEMS; ADAPTIVE-CONTROL; CONTROL DESIGN; STABILIZATION; MODEL;

D O I：

10.1016/j.sysconle.2012.01.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An algorithm based on Linear Matrix Inequalities (LMIs) is proposed to find a constant output feedback matrix K-0 and a constant output tandem matrix F such that the controlled system {A - BK0C, B, FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A, B, C} 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 F such that all transmission zeros of the system {A, B. FC} have negative real parts. After finding this matrix F. an output feedback matrix K-0 such that the system {A - BK0C, B, FC} 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 degrees to 60 degrees. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：521 / 527

页数：7

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