Synthesis of distributed robust H-Infinity controllers for interconnected discrete time systems

E. P. van Horssen, S. Weiland

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

This paper presents an algorithm for the synthesis of robust distributed controllers for interconnected linear discrete-time systems. For a network of interconnected uncertain linear time-invariant systems, the distributed controller achieves robust stability and a guaranteed level of robust performance in a well-defined H∞ sense. The setting of this paper is in discrete time. Based on the theory of dissipative dynamical systems, conditions for the analysis of robust stability and robust performance of networks are derived in terms of feasibility tests of linear matrix inequalities. From these conditions, computationally tractable synthesis conditions are derived. An iterative D-K type of synthesis algorithm is proposed that yields a robust distributed controller. Convergence properties of the algorithm are inferred.
LanguageEnglish
Pages286-295
Number of pages10
JournalIEEE Transactions on Control of Network Systems
Volume3
Issue number3
DOIs
StatePublished - 1 Sep 2016

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Interconnected Systems
Discrete-time Systems
Robust Performance
Infinity
Robust Stability
Synthesis
Controller
Controllers
Dissipative Dynamical System
Discrete-time Linear Systems
Linear matrix inequalities
Convergence Properties
Matrix Inequality
Well-defined
Linear Time
Linear Inequalities
Dynamical systems
Discrete-time
Invariant
Robust stability

Keywords

  • H∞ control
  • control system synthesis
  • discrete time systems
  • distributed control
  • interconnected systems
  • iterative methods
  • linear matrix inequalities
  • linear systems
  • robust control
  • uncertain systems
  • computationally tractable synthesis conditions
  • dissipative dynamical systems
  • distributed robust h-infinity controllers
  • interconnected linear discrete-time systems
  • interconnected uncertain linear time-invariant systems
  • iterative D-K type synthesis algorithm
  • robust distributed controller
  • robust stability
  • Decentralized control
  • Discrete-time systems
  • Linear systems
  • Robust stability
  • Robustness
  • Uncertainty
  • Controller synthesis
  • linear matrix inequalities (LMIs)
  • robustness

Cite this

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title = "Synthesis of distributed robust H-Infinity controllers for interconnected discrete time systems",
abstract = "This paper presents an algorithm for the synthesis of robust distributed controllers for interconnected linear discrete-time systems. For a network of interconnected uncertain linear time-invariant systems, the distributed controller achieves robust stability and a guaranteed level of robust performance in a well-defined H∞ sense. The setting of this paper is in discrete time. Based on the theory of dissipative dynamical systems, conditions for the analysis of robust stability and robust performance of networks are derived in terms of feasibility tests of linear matrix inequalities. From these conditions, computationally tractable synthesis conditions are derived. An iterative D-K type of synthesis algorithm is proposed that yields a robust distributed controller. Convergence properties of the algorithm are inferred.",
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Synthesis of distributed robust H-Infinity controllers for interconnected discrete time systems. / Horssen, E. P. van; Weiland, S.

In: IEEE Transactions on Control of Network Systems, Vol. 3, No. 3, 01.09.2016, p. 286-295.

Research output: Contribution to journalArticleAcademicpeer-review

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