Robust guaranteed cost state estimation for discrete-time systems with random delays and random uncertainties

被引：5

作者：

Nishanthi, D. ^{[1
]}

Banu, L. Jarina ^{[2
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

[2] PSG Coll Technol, Dept Appl Math & Computat Sci, Coimbatore, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2017年 / 31卷 / 09期

关键词：

guaranteed cost function; linear matrix inequality; randomly occurring delays; randomly occurring uncertainties; state estimation; Wirtinger-based inequality; NEURAL-NETWORKS; EXPONENTIAL STABILITY; VARYING DELAY; H-INFINITY; SYNCHRONIZATION; STABILIZATION; JUMPS;

D O I：

10.1002/acs.2770

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 paper investigates the guaranteed cost state estimation problem for a class of discrete-time systems based on the Wirtinger-based inequality with randomly occurring delays (RODs) and randomly occurring uncertainties (ROUs). The time-varying delays and parameter uncertainties are considered to occur in random way. Certain mutually uncorrelated Bernoulli-distributed white-noise sequences are included to govern the random occurrences. The cost function is chosen appropriately to guarantee an adequate level of performance. New sufficient conditions are established in terms of linear matrix inequalities to ensure the estimation of state vectors for the given discrete-time system by constructing Lyapunov-Krasovskii functionals and using reciprocally convex lemma. The advantage of using the proposed results is illustrated via numerical examples.

引用

页码：1361 / 1372

页数：12

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