Regional Stability Analysis of Discrete-Time Dynamic Output Feedback Under Aperiodic Sampling and Input Saturation

被引：39

作者：

Gomes da Silva, Joao Manoel, Jr. ^{[1
]}

Queinnec, Isabelle ^{[2
]}

Seuret, Alexandre ^{[2
]}

Tarbouriech, Sophie ^{[2
]}

机构：

[1] Univ Fed Rio Grande do Sul, Dept Automat & Energy Syst DELAE, BR-90035190 Porto Alegre, RS, Brazil

[2] Univ Toulouse, CNRS, LAAS, F-31400 Toulouse, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 12期

关键词：

Aperiodic sampling; dynamic output feedback; sampled-data systems; saturating input; GUARANTEED REGIONS; ANTIWINDUP DESIGN; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TAC.2016.2553365

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note addresses the problem of regional stability analysis of a continuous-time plant controlled by a discrete-time dynamic output feedback control law with saturation constraints under aperiodic sampling. To cope with the aperiodic sampling problem, the proposed approach is based on an impulsive system modeling and the use of looped functionals. A generalized sector-based relation is applied to tackle the control saturation effects. From these ingredients, conditions to ensure regional asymptotic stability of the closed-loop system under aperiodic sampling are derived. Based on these conditions, LMI-based optimization problems are proposed to compute estimates of the region of attraction of the closed-loop system or to maximize the bound on the maximal admissible interval between two successive sampling instants, for which the regional stability can be ensured with respect to a given set of admissible states. A numerical example illustrates the application of the results.

引用

页码：4176 / 4182

页数：7

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