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Improved Criteria on Robust Analysis for Linear System Using Convex Combination and Geometric Sequence Methods


Affiliations
1 College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, China
 

This article addresses the robust analysis on a delayed system with uncertainties. A geometric sequence division(GSD) method is applied for delay partition.Then, a GSD-dependent Lyapunov–Krasovskii functional(LKF) is newly proposed, in which the integral interval relevant with the state variables forms in geometric progression. In addition, by applying the convex combination method, parameter uncertainties and the delay derivative d(t) can thus be flexibly overcome. As a result, unnecessary enlargement for estimating the LKF derivative is eliminated. Numerical example shows that this proposed work achieves expected results.

Keywords

Convex Combination, Delay Partition, Geometric Sequence, Parameter Uncertainties.
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  • Improved Criteria on Robust Analysis for Linear System Using Convex Combination and Geometric Sequence Methods

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Authors

Hao Chen
College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, China
Huazhang Wang
College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, China
Zhenzhen Zhang
College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, China

Abstract


This article addresses the robust analysis on a delayed system with uncertainties. A geometric sequence division(GSD) method is applied for delay partition.Then, a GSD-dependent Lyapunov–Krasovskii functional(LKF) is newly proposed, in which the integral interval relevant with the state variables forms in geometric progression. In addition, by applying the convex combination method, parameter uncertainties and the delay derivative d(t) can thus be flexibly overcome. As a result, unnecessary enlargement for estimating the LKF derivative is eliminated. Numerical example shows that this proposed work achieves expected results.

Keywords


Convex Combination, Delay Partition, Geometric Sequence, Parameter Uncertainties.

References





DOI: https://doi.org/10.18520/cs%2Fv113%2Fi06%2F1081-1089