Control design of linear systems with variable time-delay based on hysteresis-based switching algorithms and semi-discretization

Jie Sheng, Haitao Li, Chenhui Shao, Keyong Han, Zonghai Chne

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We put forward a new control method combined with semi-discretization and the hysteresis-based switching algorithms for linear system with time-varying delay. Semi-discretization method proposes to discretize the time-delay and consider it to be a constant in a switching period, and treat the rest of the variables as continuous, so the system equation can be described by an ordinary differential equation. Using semi-discretization method, we can design an optimal controller for the system at a specific time. Obviously, optimal controllers vary at different time-delays. Since the time-delay varies with time going, we need to switch among different controllers in order to keep the system stable. As to how to switch, we introduce the hysteresis-based switching algorithm. Moreover, a series of simulation results have proved that this new method is able to give a fine performance in controlling such systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 29th Chinese Control Conference, CCC'10
Pages363-368
Number of pages6
StatePublished - Dec 22 2010
Externally publishedYes
Event29th Chinese Control Conference, CCC'10 - Beijing, China
Duration: Jul 29 2010Jul 31 2010

Publication series

NameProceedings of the 29th Chinese Control Conference, CCC'10

Other

Other29th Chinese Control Conference, CCC'10
CountryChina
CityBeijing
Period7/29/107/31/10

Keywords

  • Hysteresis-based switching algorithms
  • Linear system with time-varying delay
  • Nonlinear control
  • Semi-discretization

ASJC Scopus subject areas

  • Control and Systems Engineering

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