On output-based accelerated stabilization of a chain of integrators: Implicit Lyapunov-Krasovskii functional approach

Artem N. Nekhoroshikh*, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor B. Furtat, Emilia Fridman

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the unmeasured components of the state. It is proven that such a nonlinear delayed control law ensures practical output stabilization with rates of convergence faster than exponential. The effective way of computation of feedback gains is given. It is shown that closed-loop system stability does not depend on the value of artificial delay, but the maximum value of delay determines the width of stability zone. The efficiency of the proposed control is demonstrated in simulations.

Original languageEnglish
Pages (from-to)5982-5987
Number of pages6
JournalIFAC-PapersOnLine
Volume53
Issue number2
DOIs
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020

Keywords

  • Delay-dependent output feedback
  • Implicit lyapunov-krasovskii Functional (ILKF)
  • Linear matrix inequalities (LMIs)
  • Nonlinear control
  • Practical stability

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