Robust Stabilization of Uncertain 2-D Discrete Delayed Systems

Journal of control, automation and electrical systems

article

Tadepalli, Siva Kumar¹  Leite, Valter J. S.² 

[1] Department of Electronics and Telecommunication, Bhilai Institute of Technology;Department of Mechatronics Engineering, Campus Divinópolis

关键词: Two-dimensional system;    Robust stabilization;    Delay-dependent;    Parameter-dependent Lyapunov–Krasovskii functions;    Polytopic uncertainty;   

DOI  :  10.1007/s40313-017-0359-2

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper is concerned with the stabilization of a class of two-dimensional discrete state-delayed systems described by the Fornasini–Marchesini second local state-space model subject to polytopic uncertainties. A delay-dependent stability criterion is derived for the existence of a memoryless state feedback controller such that the closed-loop system is robustly stable. To match practical issues the influence of finite wordlength nonlinearities in control implementation, delays and parameter uncertainties belonging to a known convex polytope are also discussed. The presented criteria are obtained by employing parameter-dependent Lyapunov–Krasovskii function and slack variables that augments the searching space allowing less conservative solutions. Finally, examples are provided to show the effectiveness of the proposal.

【 授权许可】

CC BY