ROBUST FINITE-TIME SUPOPTIMAL CONTROL OF LARGE-SCALE SYSTEMS WITH INTERACTED STATE AND CONTROL DELAYS

Authors

  • Vu Ngoc Phat Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, Hanoi, Vietnam
  • Pham T. Huong Department of Mathematics, Hanoi Pedagogical University 2, Vinh Phuc, Vietnam

DOI:

https://doi.org/10.15625/1813-9663/37/4/16001

Keywords:

Finite-time control, supoptimal control, large-scale system, state and control delay, Lyapunov functiona, linear matrix inequality.

Abstract

This paper is concerned with a problem of supoptimal nite-time control for a class of linear large-scale delay systems. The system under consideration is subjected to the state and control delays interacted between subsystems. Based on improved LMI-based approach combining with new estimation techniques, we derive sucient conditions for solving nite-time H1 control and guaranteed cost control of the system. Numerical examples are given to illustrate the validity and eectiveness of the theoretical results.

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Published

2021-10-12

Issue

Section

SPECIAL ISSUE DEDICATED TO THE MEMORY OF PROFESSOR PHAN DINH DIEU - PART B