Passivity analysis and passive control for uncertain discrete switched time-delay systems via a simple switching signal design

Advances in Difference Equations

Long-Yeu Chung¹  Chang-Hua Lien²  Ker-Wei Yu³  Jenq-Der Chen³ 

[1] Department of Computer Science and Information Engineering, National Quemoy University, Kinmen, Taiwan, ROC;Department of Electrical Engineering, National Penghu University of Science and Technology, Penghu, Taiwan, ROC;Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, Taiwan, ROC

关键词: switching signal;    passivity analysis;    passive switching control;    internal stability;    discrete switched systems;    interval time-varying delay;    delay-partitioning approach;   

DOI  :  10.1186/s13662-016-0821-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the problem for passivity analysis and passive control of uncertain discrete switched systems with interval time-varying delay and linear fractional perturbations via a simple switching signal design. A new Lyapunov-Krasovskii functional is used to propose some LMI conditions that design the switching signal to guarantee the passivity and passive switching control of discrete switched time-delay systems. Jensen and Park inequalities combined with delay-partitioning approach are investigated to improve the conservativeness of the obtained results. Finally, some numerical examples and a water quality model illustrate the main proposed results.

【 授权许可】

CC BY