Improved stability results for uncertain discrete-time state-delayed systems in the presence of nonlinearities

被引：16

作者：

Tadepalli, Siva Kumar ^{[1
]}

Kandanvli, V. Krishna Rao ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol Allahabad, Elect & Commun Engn Dept, Allahabad 211004, Uttar Pradesh, India

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2016年 / 38卷 / 01期

关键词：

Delay partitioning; finite word length effect; Lyapunov stability; state-delayed system; uncertain system; SPACE DIGITAL-FILTERS; ROBUST STABILITY; OVERFLOW OSCILLATIONS; PARTITIONING APPROACH; ASYMPTOTIC STABILITY; SATURATION NONLINEARITIES; LMI CONDITION; QUANTIZATION; CRITERIA; STABILIZATION;

D O I：

10.1177/0142331214562020

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, delay-dependent linear matrix inequality (LMI)-based stability conditions have been developed for uncertain discrete-time state-delayed systems, in which nonlinear effects in the form of limit cycles may arise due to the finite word length implementation of such systems. Two problems have been addressed in this paper. The first problem considers the discrete-time system to be under the combined influence of quantization and overflow nonlinearities and in the second problem, the system is under the influence of saturation nonlinearities. The criteria developed are based on utilizing both the delay partitioning method and reciprocally convex approach. It is demonstrated with the help of numerical examples that the presented criteria are able to yield less conservative results along with lower computational complexity than previously reported criteria.

引用

页码：33 / 43

页数：11

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