Robust stabilization for uncertain saturated systems with multiple time delays

AIMS Mathematics

article

Yuzhen Chen¹  Haoxin Liu¹  Rui Dong¹ 

[1] School of Mathematical Sciences, Henan Institute of Science and Technology

关键词: regional stabilization;    uncertain systems;    multiple delays;    actuator saturation;    polytopic approach;   

DOI  :  10.3934/math.20221053

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper is concerned with the robust stabilization problem for uncertain saturated linear systems with multiple discrete delays. First of all, a new distributed-delay-dependent polytopic approach is proposed, and a new type of Lyapunov-Krasovskii functional is constructed. Then, by further incorporating some integral inequalities, both stabilization and robust stabilization conditions are proposed in terms of linear matrix inequalities under which the closed-loop systems are asymptotically stable for admissible initial conditions. Finally, a simulation example is given to illustrate the feasibility and advantages of the obtained results.

【 授权许可】

CC BY