Improved Criterion for Robust Stability of Discrete-Time State-Delayed Systems with Quantization/Overflow Nonlinearities

被引：12

作者：

Agarwal, Neha ^{[1
]}

Kar, Haranath ^{[1
]}

机构：

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

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 11期

关键词：

Asymptotic stability; Digital filter; Finite wordlength effect; Lyapunov method; Nonlinear system; State-delayed system; Uncertain system; SPACE DIGITAL-FILTERS; GLOBAL ASYMPTOTIC STABILITY; SATURATION OVERFLOW STABILITY; DEPENDENT STABILITY; LMI CONDITION; STABILIZATION; COMBINATIONS;

D O I：

10.1007/s00034-019-01097-y

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper deals with the problem of global asymptotic stability of discrete-time state-delayed digital filters under norm-bounded parameter uncertainties and the composite effects of quantization and overflow nonlinearities. A novel approach to identify the composite nonlinearities, in the underlying uncertain system, which effectively operates only in quantization region, is adopted. Utilizing the maximum normalized quantization error of quantizer, the maximum representable number for a given wordlength and an estimated upper bound of parameter uncertainties, along with system parameters, a new global asymptotic stability criterion is established. The criterion is compared with the existing criterion. The usefulness of the presented result is demonstrated with the help of an example.

引用

页码：4959 / 4980

页数：22

共 50 条

[1] Improved Criterion for Robust Stability of Discrete-Time State-Delayed Systems with Quantization/Overflow Nonlinearities
Neha Agarwal
Haranath Kar
[J]. Circuits, Systems, and Signal Processing, 2019, 38 : 4959 - 4980
[2] An LMI condition for robust stability of discrete-time state-delayed systems using quantization/overflow nonlinearities
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[3] Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities
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