Improved Stability and Passivity Results for Discrete Time-Delayed Systems with Saturation Nonlinearities and External Disturbances

被引：3

作者：

Pandey, Suchitra ^{[1
]}

Tadepalli, Siva Kumar ^{[2
]}

Bhusnur, Surekha ^{[3
]}

Nigam, Rishi ^{[2
]}

机构：

[1] Bhilai Inst Technol Durg, Dept Elect & Telecommun Engn, Bhilai House, Durg 491001, Chhattisgarh, India

[2] Natl Inst Technol Uttarakhand, Dept Elect Engn, NH 58, Srinagar 246174, Uttarakhand, India

[3] Bhilai Inst Technol Durg, Dept Elect & Elect Engn, Bhilai House, Durg 491001, Chhattisgarh, India

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2024年 / 43卷 / 01期

关键词：

Variable time-lags; Finite wordlength effects; Lyapunov-Krasovskii method; Passivity; Summation inequality; DIGITAL-FILTERS; DEPENDENT STABILITY; ROBUST STABILITY; VARYING DELAYS; STABILIZATION; INEQUALITIES; INTERFERENCE; CRITERIA;

D O I：

10.1007/s00034-023-02465-5

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 study considers the stability and passivity analysis of discrete-time systems with variable time-lags, saturation overflow nonlinear effects and external disturbances. Summation inequality based on free-weighting matrices is employed to develop an enhanced stability criterion that is in the form of linear matrix inequalities. A sufficient passivity condition for discrete-delayed systems involving overflow nonlinearities and subjected to external interferences is also proposed. Illustrative examples are presented to demonstrate the effectiveness of the obtained results.

引用

页码：103 / 123

页数：21

共 56 条

[41] Stability and passivity analysis of discrete-time linear systems with time-varying delay [J].

Qiu, Sai-Bing ;

Liu, Xin-Ge ;

Wang, Feng-Xian ;

Chen, Qiao .

SYSTEMS & CONTROL LETTERS, 2019, 134

[42] Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality [J].

Seuret, Alexandre ;

Gouaisbaut, Frederic ;

Fridman, Emilia .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) :2740-2745

[43] Stability analysis for digital filters with multiple saturation nonlinearities [J].

Shen, Tao ;

Yuan, Zhugang ;

Wang, Xiaohong .

AUTOMATICA, 2012, 48 (10) :2717-2720

[44] Stability of Discrete-Time Delayed Systems Subject to External Interference and Generalized Overflow Nonlinearities [J].

Singh, Kalpana ;

Gupta, Pushpendra Kumar ;

Chaurasia, Dinesh ;

Kandanvli, V. K. Rao .

IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 2022, 58 (04) :5353-5364

[45] Limit Cycle-Free Realization of Discrete-Time Delayed Systems with External Interference and Finite Wordlength Nonlinearities [J].

Singh, Kalpana ;

Kandanvli, V. Krishna Rao ;

Kar, Haranath .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (08) :4438-4454

[46] Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones [J].

Sturm, JF .

OPTIMIZATION METHODS & SOFTWARE, 1999, 11-2 (1-4) :625-653

[47] Coexistence of Multiple Stable States and Bursting Oscillations in a 4D Hopfield Neural Network [J].

Tabekoueng Njitacke, Z. ;

Kengne, J. ;

Fotsin, H. B. .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2020, 39 (07) :3424-3444

[48]

Tadepalli S.K., 2014, ISRN APPL MATH, V2014

[49] Criteria for stability of uncertain discrete-time systems with time-varying delays and finite wordlength nonlinearities [J].

Tadepalli, Siva Kumar ;

Kandanvli, V. Krishna Rao ;

Vishwakarma, Abhilav .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (09) :2868-2880

[50]

Tadepalli SK, 2017, INT J INNOV COMPUT I, V13, P891

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