Overview of linear time-invariant interval observer design: Towards a non-smooth optimisation-based approach

Emmanuel Chambon, Laurent Burlion, Pierre Apkarian

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

Some applications in control require the state vector of a system to be expressed in the appropriate coordinates so as to satisfy to some mathematical properties which constrain the studied system dynamics. This is the case with the theory of linear interval observers which are trivial to implement on cooperative systems, a rather limited class of control systems. The available literature shows how to enforce this limiting cooperativity condition for any considered system through a state-coordinate transformation. This study proposes an overview of the existing numerical techniques to determine such a transformation. It is shown that in spite of being practical, these techniques have some limitations. Consequently, a reformulation of the problem is proposed so as to apply non-smooth control design techniques. A solution is obtained in both the continuous-and discrete-time frameworks. Interestingly, the new method allows to formulate additional control constraints. Simulations are performed on three examples.

Original languageEnglish (US)
Pages (from-to)1258-1268
Number of pages11
JournalIET Control Theory and Applications
Volume10
Issue number11
DOIs
StatePublished - Jul 18 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

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