On structurally constrained Η2 performance bounds for stable MIMO plant models

E. I. Silva, D. A. Oyarzun, M. E. Salgado

Research output: Contribution to journalArticlepeer-review

Abstract

This paper discusses optimal control problems in which the controller must satisfy sparsity structure constraints. Conditions are derived under which the optimal controller associated to an unconstrained quadratic performance index is naturally structured and, as a consequence, the sparsity constraint imposed on the controller has no impact on the optimal loop performance. The results are then applied to study the control of triangular plants that have to be controlled by triangular controllers. We derive explicit characterisations of the Youla parameter that defines an optimal triangular controller and of the performance loss associated to the structural restriction imposed on the controller.
Original languageEnglish
Pages (from-to)1033-1045
Number of pages13
JournalIET Control Theory and Applications
Volume1
Issue number4
DOIs
Publication statusPublished - 23 Jul 2007

Keywords

  • MIMO systems
  • optimal control
  • performance index
  • stability
  • structurally constrained H2 performance bound
  • stable MIMO triangular plant model
  • optimal control problem
  • unconstrained quadratic performance index

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